the student repeats this process several times for different values of y . which variables should be plotted on the horizontal and vertical axes to yield a linear graph?

Yes, the statement is a proper interpretation of a 95% confidence interval. A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence.

The given statement is: "95% of the possible samples from this population will have sample statistics in this particular interval."

This statement is not a proper interpretation of a 95% confidence interval. A correct interpretation would be: "We are 95% confident that the true population parameter falls within this particular interval."

The key difference is that a confidence interval provides an estimated range for the population parameter, rather than describing the proportion of samples that fall within the interval.

to learn more about confidence interval click here:

brainly.com/question/28969535

#SPJ11

The critical value of t depends on both the confidence level and the degrees of freedom.

The sample size increases, the degrees of freedom also increase, and the t-distribution approaches the normal distribution.

The z-distribution to find the critical value of z for a given confidence level.

The critical value of t for a given confidence level and degrees of freedom, we can use statistical software or online calculators.

These tools typically provide tables or functions that allow us to look up or calculate the appropriate value.

The critical value of t for a 95% confidence interval with 10 degrees of freedom.

Using an online t-distribution calculator, we can enter the values of the confidence level and degrees of freedom and obtain the result, which in this case is approximately 2.228.

If we want to construct a 95% confidence interval for a sample with 10 degrees of freedom, we would use the formula:

[tex]\bar x \pm t \times (s/\sqrt n)[/tex]

[tex]\bar x[/tex] is the sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value we just obtained.

The critical value of t for a confidence interval, we need to know the confidence level and degrees of freedom, and we can use statistical software or online calculators to obtain the appropriate value.

This value is used in the formula for constructing the confidence interval, which depends on the sample statistics and the size of the sample.

For similar questions on critical value

https://brainly.com/question/31529419

#SPJ11

Based on the 1.5 × IQR rule for outliers, there is no evidence to support the student's claim because there is only one outlier at 58 minutes.

The interquartile range is the difference between upper and lower quartiles. The semi-interquartile range is half the interquartile range. When the data set is small, it is simple to identify the values of quartiles.

Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

The following interquartile ranges was calculated by using Excel:

Q₃ = 31.5

Q₁ = 20.5

Now, the interquartile range (IQR) is given by:

IQR = Q₃ - Q₁

IQR = 31.5 - 20.5

IQR = 11

Based on the 1.5 × IQR rule for outliers, we have:

1.5 × IQR = 1.5 × 11 = 16.5

Therefore, our fences will be 16.5 points below Q₁ and 16.5 points above Q₃:

Lower fence = 20.5 - 16.5 = 4.5

Upper fence = 4.5 + 31.5 = 36.

Learn more about Interquartile Range at:

https://brainly.com/question/29204101

#SPJ4

A right angled triangle with height = 7, base = 11, by using the Pythagorean theorem, we can calculate the hypotenuse is approximately 13. Therefore, the missing side, x = 13.

In a right angled triangle, using the Pythagorean theorem: sum of the squares of the base and height is equal to the square of the hypotenuse, we can find the hypotenuse x.

[tex]x^2 = 7^2 + 11^2[/tex]

[tex]x^2 = 49 + 121[/tex]

[tex]x^2 = 170[/tex]

Taking the square root of both sides, we get:

x ≈ 13.0384

Rounding this to the nearest tenth, we get:

x ≈ 13.0

Therefore, the length of x is approximately 13.0 units (rounded to the nearest tenth).

Know more about Pythagorean theorem,

https://brainly.com/question/23715284

#SPJ1

The names of the radius , chord and diameter of a circle are as follow,

Radius of the circle are PQ, PM , And PR.

Diameter of the circle is QM

Chord of the circle is ON.

Length of QM in the circle = 4units.

In the attached figure of the circle,

Center of the circle is P.

radius of the circle is a distance from the center of the circle to its circumference.

Radius = PQ, PM , And PR.

Diameter of the circle passing through center P is QM.

Chord of the circle representing a line segment having endpoints on the circumference of the circle.

Chords are ON and MQ.

Diameter is the longest chord.

length of PR is 2 units,

PR is radius

QM is diameter

QM = 2(PR)

length of QM = 2(2)

                      = 4 units.

Therefore, for the given circle we have,

Radius are PQ, PM , And PR.

Diameter is QM

Chord is ON.

Length of QM = 4units.

learn more about circle here

brainly.com/question/28998766

#SPJ1

The above question is incomplete, the complete question is:

A circle with center P is shown in the figure below.

(a) Name a diameter:

(b) Name a radius:

(c) Name a chord:

(d) If the length of PR is 2 units, what is the length of QM

Attached figure.

For a sample with margin of error 0.011 and confidence level 92%, the minimum sample size we should use to assure that your estimate of [tex] \hat p \: = 0.5[/tex] is 6328. So, option (a) is right one.

The sample size is a sample attribute and it is determined by the formula of margin of error with a confidence level. The size of the sample must be appropriate so that sample can estimate the population parameter with a small sampling error.

We have a sample with the following details, Margin of error, MOE = 0.011

Confidence level = 92%

The population proportion= p

Sample proportion [tex] \hat p \: = 0.5[/tex]

Now, using the table value of z score for 92% of confidence interval is equals to 1.75. So, [tex]Z_{ \frac{0.08}{2}} = 1.405[/tex]. The margin of error at the 93% confidence coefficient is [tex]ME = Z_{ \frac{0.08}{2}} × \sqrt{\frac{\hat p(1 - \hat p)}{n}}[/tex]

Substitute all known values in above formula, [tex]0.011= 1.750 × \sqrt{\frac{0.5(1 - 0.5)}{n}}[/tex]

Squaring both sides,

[tex]0.011² = ( 1.75)² (\frac{ 0.25}{n})[/tex]

=> [tex]n = \frac{ (1.75)² × 0.25}{0.011²}[/tex]

=> n = 6328

Hence, required value is 6328.

For more information about sample size, visit :

https://brainly.com/question/30528695

#SPJ4

Rounding up, the minimum sample size required is 6328

The minimum sample size required to ensure that the estimated proportion (p^) is within a desired margin of error with a certain level of confidence can be determined using a formula.

n = (z-score)^2 * p^(1-p^) / (margin of error)^2

Where:

The z-score is the standard normal distribution's critical value for the specified confidence level (92% with this case).

p^ is the estimated proportion of the population with the characteristic of interest (unknown in this case, so we can use 0.5 as a conservative estimate)

(1-p^) is the complementary proportion to p^

margin of error is the maximum allowed difference between the sample proportion and the true population proportion.

Inputting the values provided yields:

n = (1.751)^2 * 0.5 * 0.5 / (0.011)^2 n ≈ 6327.98

The formula considers the margin of error, confidence level, and estimated population proportion.

In this case, the margin of error is given as 0.011, the confidence level is 92%, and the population proportion is unknown. Using a conservative estimate of 0.5 for the population proportion, the minimum sample size is calculated as 6327.98, which is rounded up to 6328.

Therefore, a sample size of at least 6328 is required to ensure that the estimated proportion is within 0.011 of the true population proportion with a confidence level of 92%. Adequate sample size is important to obtain accurate estimates of population parameters and minimize sampling errors.

To know more about size visit :

https://brainly.com/question/25894237

#SPJ4

The mean of the sampling distribution of sample means is equal to the population mean.

In this case, it is 272 days.

a. The standard deviation (or standard error) of the sampling distribution of sample means can be calculated using the formula: σ_sample = σ_population / √n, where σ_sample is the standard error, σ_population is the population standard deviation, and n is the sample size. In this case, σ_sample = 14 days / √24 ≈ 2.86 days.

b. The graph of the sampling distribution of sample means will be a normal distribution with a mean of 272 days and a standard deviation of 2.86 days. The curve will be symmetrical around the mean value and will have a bell shape.

c. If the sample size is increased to 28, the mean of the sampling distribution remains the same (272 days) since it's equal to the population mean. However, the standard error will decrease because the sample size is larger: σ_sample = 14 days / √28 ≈ 2.65 days. The graph of this distribution will still be a normal distribution with a mean of 272 days, but it will be slightly narrower due to the smaller standard error of 2.65 days.

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ11

The probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

If you and your friend each roll two dice, there are two possible cases:

You both roll doubles (i.e., both dice show the same number).

You both roll non-doubles (i.e., the two dice show different numbers).

Let's calculate the probability of each case separately:

The probability of rolling doubles on one die is 1/6, since there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of them will result in doubles. The probability of rolling doubles on both dice is the product of the probabilities of rolling doubles on each die, which is (1/6) * (1/6) = 1/36. Therefore, the probability that you and your friend both roll doubles is (1/36) * (1/36) = 1/1296.

The probability of rolling non-doubles on one die is 5/6, since there are five possible outcomes (2, 3, 4, 5, or 6) that will result in non-doubles, out of a total of six possible outcomes. The probability of rolling non-doubles on both dice is the product of the probabilities of rolling non-doubles on each die, which is (5/6) * (5/6) = 25/36. Therefore, the probability that you and your friend both roll non-doubles is (25/36) * (25/36) = 625/1296.

Therefore, the overall probability that you and your friend both have the same two numbers is the sum of the probabilities of the two cases:

1/1296 + 625/1296

= 626/1296

= 0.4823 (rounded to four decimal places)

So, the probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

To know more about probability check below link:

https://brainly.com/question/24756209

#SPJ4

as a sigma level of less than 99% indicates a high rate of defects.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

We can calculate the sigma level of the scheduling process using the formula:

Sigma level = (1 - (Number of defects / Number of opportunities)) * 100%

In this case, the number of opportunities is the total number of students enrolled in the major, which is 90. The number of defects is the number of students who were not able to schedule the elective into their course of study, which is 14. So we have:

Sigma level = (1 - (14 / 90)) * 100% ≈ 84.44%

So the sigma level of the scheduling process is approximately 84.44%. This suggests that there is room for improvement in the scheduling process, as a sigma level of less than 99% indicates a high rate of defects.

Learn more about percentage, by the following link.

https://brainly.com/question/24304697

#SPJ4

Yes, it is true that if A is a 3x3 matrix with three pivot positions, then there exist elementary matrices E1, ..., Ep such that Ep...E1A = I, where I is the 3x3 identity matrix.

This is a consequence of the fact that any invertible matrix can be written as a product of elementary matrices. An elementary matrix is a matrix that can be obtained from the identity matrix by performing a single elementary row operation. There are three types of elementary row operations: interchanging two rows, multiplying a row by a nonzero constant, and adding a multiple of one row to another row.

Since A has three pivot positions, it can be reduced to the identity matrix by a sequence of elementary row operations. Each elementary row operation can be represented by an elementary matrix, and the product of these elementary matrices will give us the desired product Ep...E1A = I.

So, in summary, if A is a 3x3 matrix with three pivot positions, then there exist elementary matrices E1, ..., Ep such that Ep...E1A = I.

for such more question on elementary matrices

https://brainly.com/question/30503102

#SPJ11

the minimum time of 4.40 seconds is not significantly far from the mean of 4.60 seconds, which further supports the normality assumption.

It is reasonable to believe that the distribution of 40-yard running times is approximately normal based on the central limit theorem, which states that the distribution of sample means tends to be normal, regardless of the underlying population distribution, as long as the sample size is sufficiently large. In this case, we are given the mean and standard deviation for all players in the position, which suggests that the population distribution is approximately normal.

what is second?

A second is a unit of time. It is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the caesium-133 atom.

To learn more about second visit:

brainly.com/question/11879335

#SPJ11

The inequality solved for y is:

y ≥ 21/25

To solve an inequality for one variable, we need to isolate that variable.

Here we have:

(8/7)y -1 ≥ (3/7)y - 2/5

Move the terms with y to the left side and the others to the right side.

(8/7)y - (3/7)y ≥ -2/5 + 1

(5/7)y ≥ (3/5)

Now multiply both sides by 7/5, we will get:

y  ≥ (3/5)*(7/5)

y ≥ 21/25

That is the solution simplfied.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

a.) The inverse of matrix A is [7 -4][-2 1].

b.) det(A) is zero, we know that A is not invertible.

Theorem 1.4.5 states that a matrix A is invertible if and only if its determinant, which is defined as ad-bc, is nonzero. If A is invertible, then its inverse A⁻¹ is given by the formula:

A⁻¹ = 1/det(A) * [d -b][-c a],

where det(A) = ad-bc is the determinant of A.

Now, let's use this theorem and the inversion algorithm to find the inverses of the given matrices:

a. A = [1 4][2 7]

First, we need to calculate the determinant of A:

det(A) = ad-bc = (1 * 7) - (4 * 2) = 1

Since det(A) is nonzero, we know that A is invertible. Now, we can apply the formula for A⁻¹:

A⁻¹ = 1/det(A) * [d -b][-c a]

= 1/1 * [7 -4][-2 1]

= [7 -4][-2 1]

b. A = [2 -4][-4 8]

Again, we need to calculate the determinant of A:

det(A) = ad-bc = (2 * 8) - (-4 * -4) = 0

Here the det is zero there is no invertible matrix for B.

To know more about matrix here

https://brainly.com/question/28180105

#SPJ4

The maximum number of times the main comparison loop will execute for a list of 1 million numbers is closest to 20.

An effective algorithm for narrowing down a list of things is binary search. It divides the section of the list that might contain the item in half repeatedly until there is only one viable position left. In the beginning tutorial's guessing game, binary search was used.

In a binary search algorithm, the main comparison loop divides the search interval in half at each iteration until the target value is found or the search interval is empty. Therefore, the number of times the loop executes is proportional to the number of times the search interval can be divided in half before reaching a length of 1.

For a list of 1 million numbers, the initial search interval includes all 1 million numbers. At the first iteration, the interval is divided in half, leaving 500,000 numbers to search. At the second iteration, the interval is divided in half again, leaving 250,000 numbers. This process continues until the interval contains only one number, which is either the target value or not present in the list.

The number of times the loop executes is equal to the number of times the interval can be divided in half before reaching a length of 1. In this case, the interval length is divided by 2 at each iteration, so the number of iterations required to reach a length of 1 is log base 2 of 1 million:

log2(1,000,000) = 19.93

Therefore, the maximum number of times the main comparison loop will execute for a list of 1 million numbers is closest to 20.

Learn more about binary search on:

https://brainly.com/question/28267253

#SPJ4

The true statement is the mean of data set X is greater than the mean of data set Y. (option A)

The mean is a measure of central tendency that determines the average of a set of numbers.

Mean of data set X = (8 + 20 + 36 + 36 + 54 + 88) / 6 = 40.33

Mean of data set Y = (8 + 20 + 36 + 36 + 54) / 5 = 30.80

Median is a measure of central tendency that determines the number in the middle of a dataset that has been arranged in either ascending or descending order.

Median of data set X = 36

Median of data set y = 36

To learn more about median, please check: https://brainly.com/question/20434777

#SPJ1

The probability that the sample proportion will be within 10.05 of the population proportion is approximately 0.0139.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) To find the probability that the sample proportion will be within 10.03 of the population proportion, we need to first calculate the standard error of the sample proportion:

SE = sqrt(p*(1-p)/n) = sqrt(0.3*(1-0.3)/300) = 0.0308

Then, we can use the normal distribution to find the probability:

P(|p - 0.3| <= 0.1003) = P(-0.1003/0.0308 <= (p - 0.3)/0.0308 <= 0.1003/0.0308)

≈ P(-3.2565 <= Z <= 3.2752) = 2*P(Z <= 3.2752) - 1 ≈ 0.0146

where Z is the standard normal distribution.

Therefore, the probability that the sample proportion will be within 10.03 of the population proportion is approximately 0.0146.

(b) To find the probability that the sample proportion will be within 10.05 of the population proportion, we can follow the same steps as in part (a), but with a different margin of error:

SE = sqrt(0.3*(1-0.3)/300) = 0.0308

P(|p - 0.3| <= 0.1005) = P(-0.1005/0.0308 <= (p - 0.3)/0.0308 <= 0.1005/0.0308)

≈ P(-3.2649 <= Z <= 3.2836) = 2*P(Z <= 3.2836) - 1 ≈ 0.0139

where Z is the standard normal distribution.

Therefore, the probability that the sample proportion will be within 10.05 of the population proportion is approximately 0.0139.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

Answer:

72

Step-by-step explanation:

50 middle school students preferred cake batter-flavored frozen yogurt, calculated by applying the percentage given to the total number of students surveyed.

This question requires a basic understanding of percentages and how to apply them in a real-world context. The circle graph indicates that 10 percent of the students surveyed prefer cake batter as their favorite frozen yogurt flavor.

We're given that the total number of students surveyed is 500. To figure out the number of students who prefer cake batter, we multiply the total number of students by the percentage that prefer cake batter, expressed as a decimal.

So, 500 (total students) * 10/100 (percentage who prefer cake batter) = 50 students.

Therefore, 50 middle school students preferred cake batter-flavored frozen yogurt.

https://brainly.com/question/329987

#SPJ2

In the equation, the large book weight is 11kg and small book weight is

9 kg.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take weight of large book as x and weight of small book as y.

Then,  3 large boxes and 4 small boxes has a total weight of 69 then,

=> 3x+4y = 69 --------> 1

And 5 large boxes and  2 small boxes has a total weight of 73kg then,

=> 5x+2y = 73 ----------> 2

Now multiply second equation by 2 then,

=> 10x+4y = 146 ----------> 3

Now 3 -1 then,

=>    10x+4y =   146

  (-)    3x+4y =    69

-------------------------------

     7x          =     77

=>  x = 77/7 = 11kg.

put x=11 kg into 1 then,

=> 3(11)+4y=69

=> 4y = 69-33

=> 4y = 36

=> y = 36/4 = 9 kg.

Hence the large book weight is 11kg and small book weight is 9 kg.

To learn more about equation refer the below link

https://brainly.com/question/29336774

#SPJ4

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

For similar questions on z score

https://brainly.com/question/30462945

#SPJ11

If a graph has vertices and edges such that there are no cycles (i.e. it is acyclic) and it is connected, then the graph must be a tree.

To prove this, we first note that a tree is defined as a connected, acyclic graph. Therefore, if we can show that a graph with the given properties is also connected and acyclic, then it must be a tree.

First, let us prove that the graph is connected. Since there are no cycles, every vertex must be part of a path. Moreover, since there are no isolated vertices, every vertex is connected to at least one other vertex. Therefore, if we start at any vertex and follow any path, we will eventually reach all other vertices. Hence, the graph is connected.

Next, let us prove that the graph is acyclic. Suppose, for the sake of contradiction, that the graph contains a cycle. Let v1, v2, ..., vn be the vertices of the cycle in order. Since the graph is connected, there must be a path from v1 to vn that does not include any of the vertices v2, ..., vn-1 (otherwise, we could "short-circuit" the cycle). But this path, together with the edges (v1, v2) and (vn-1, vn), forms a cycle, contradicting our assumption that the graph is acyclic. Therefore, the graph is acyclic.

Since the graph is both connected and acyclic, it must be a tree. Therefore, a graph with vertices and edges that satisfies the given conditions must be a tree.

No, the graph does not necessarily have to be a tree.

The formula v = e + 1 signifies that one more than the number of edges (e) is the number of vertices (v).

This formula is valid for all connected graphs with one extra edge, besides the necessary edges for forming a tree.

Thus, it is possible that the diagram remains with loops and more offshoots, classifying it as a graph that is connected, yet not a tree.

The equation v = e + 1 does not limit the graph's structure beyond its connectedness.

Learn more about vertices at: https://brainly.com/question/3050890

#SPJ4

The union needs a minimum sample size of 140 to be 95% confident that their estimate of μ is within $0.35 of the true value.

To achieve this level of confidence, the union needs to determine the minimum sample size required. The sample size is important because it affects the precision of the estimate. A larger sample size generally leads to a more precise estimate.

To find the minimum sample size needed, we need to use a formula that relates the sample size, the confidence level, the standard deviation of the population, and the margin of error. The formula is:

n = (z² * σ²) / E²

where n is the sample size, z is the z-score associated with the desired confidence level (in this case, 1.96 for 95% confidence), σ is the standard deviation of the population, and E is the margin of error (in this case, $0.35).

Plugging in the given values, we get:

n = (1.96² * 2.25²) / 0.35² n = 139.79

To know more about sample size here

https://brainly.com/question/30885988

#SPJ4

Complete Question:

A union of restaurant and food service workers would like to estimate the mean hourly wage, μ , of food service workers in the U.S. The union will choose a random sample of wages and then estimate μ using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of μ ?

Suppose that the standard deviation of wages of food service workers in the U.S. is about $2.25. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

Answer:

66 coins.

Step-by-step explanation:

There are 4 quarters in a year, so 2 years is 8 quarters.

Since Janice adds 5 coins every 3 months, in one year (or 4 quarters), she will add:

5 coins/3 months x 4 quarters = 20 coins

So in 2 years (8 quarters), she will add:

20 coins/year x 2 years = 40 coins

Therefore, after 2 years, the total number of coins in Janice's collection will be:

26 + 40 = 66 coins.

The dimensions of the rectangle for the given area 65 square inches are 13in and 5in.

Dimensions of the rectangle are length and width.

Let us consider length of the rectangle = x + 6

And width of the rectangle = x -2

Area of the rectangle = 65 square inches

Area of the rectangle = length × width

Substitute the values we have,

⇒ 65 = ( x + 6 ) × ( x -2 )

⇒65 = x² + 4x -12

⇒x² + 4x - 77 = 0

⇒x² + 11x - 7x - 77 = 0

⇒ x( x+ 11 ) -7 ( x + 11 ) =0

⇒ ( x+ 11) ( x - 7) = 0

⇒ x = -11 or x = 7

Dimensions can not be negative.

⇒ x = 7

Length = 7 + 6

            = 13 in

Width = 7 - 2

          = 5in.

Therefore, the dimensions of the rectangle are 13in and 5in.

learn more about rectangle here

brainly.com/question/8760279

#SPJ4

The school district's magnet school programs, of the 1882 qualified applicants, 52.44% were accepted, 16.41% were waitlisted, and 31.15% were turned away for lack of space.

The relative frequency for each decision made by the school district regarding their magnet school programs.
First, let's define relative frequency.

It is the fraction or proportion of the total data that belongs to a particular category or class. In this case, the categories are "accepted," "waitlisted," and "turned away."
To find the relative frequency for each decision, we need to divide the number of applicants in each category by the total number of qualified applicants, which is 1882.
So, the relative frequency for "accepted" is:
987/1882 = 0.524 or 52.4%
The relative frequency for "waitlisted" is:
309/1882 = 0.164 or 16.4%
And the relative frequency for "turned away" is:
586/1882 = 0.312 or 31.2%
To summarize the results, we can say that out of the 1882 qualified applicants for the school district's magnet school programs, 52.4% were accepted, 16.4% were waitlisted, and 31.2% were turned away due to lack of space.

This indicates that there is high demand for these programs and the school district needs to consider expanding their capacity to accommodate more students.

For similar question on school programs

https://brainly.com/question/21573814

#SPJ11

We can be 99% confident that the population mean distance between the canine tooth and last molar is between 10.25 cm and 10.75 cm, based on the sample of wolf upper[tex]25[/tex] jaws.

Confidence Interval = Sample Mean ± Z-score (Standard Error)

where the Z-score is based on the level of confidence and the standard error is calculated as the standard deviation divided by the square root of the sample size.

Using a 99% confidence level, the critical value for a two-tailed test with  [tex]24[/tex] degrees of freedom is [tex]2.492.[/tex]

Confidence Interval[tex]= 10.5 ± 2.492[/tex] × [tex](0.5 / sqrt(25))[/tex]

[tex]= 10.5 ± 0.2492[/tex]

[tex]= (10.25, 10.75)[/tex]

Therefore, we can be 99% confident that the population mean distance between the canine tooth and last molar is between [tex]10.25[/tex] cm and [tex]10.75[/tex]cm, based on the sample of [tex]25[/tex] wolf upper jaws .

To know more about confident visit:

https://brainly.com/question/22851322

#SPJ4

Slope of the normal L is 21/8.

Hence the correct option is (A).

Slope of normal to a function f(x) = y is given by = -dx/dy

Given the equation of the curve is,

2xy² - 3y = 18

Differentiating the function with respect to 'x' we get,

2x*2y*dy/dx + 2y²*1 - 3 dy/dx = 0

4xy*dy/dx + 2y² - 3dy/dx = 0

(3 - 4xy)dy/dx = 2y²

dy/dx = 2y²/(3 - 4xy)

-dx/dy = (4xy - 3)/2y²

Slope of the normal L at the point (3, 2) = (4*3*2 - 3)/(2*2²) = (24 - 3)/8 = 21/8

Hence the correct option is (A).

To know more about Slope here

https://brainly.com/question/16949303

#SPJ4

Answer:

i don't have idea for answer

Step-by-step explanation:

i

don't

have

idea

for

answer

Answer: its B) test statistic

Step-by-step explanation: