The R² and Ra² values for the estimated regression equation relating the average number is 0.5646 and 0.4912. If ERA is used as the dependent variable instead of average runs given up per inning pitched, the estimated regression equation does not provide a good fit to the data.
Using the given table, the estimated regression equation relating the average number of runs given up per inning pitched, average number of strikeouts per inning pitched, and average number of home runs per inning pitched is
Runs per IP = -1.213 + 9.432 (SO per IP) - 11.909 (HR per IP)
Using this equation, we can calculate the predicted values of runs per IP for each player in the table and compare them to the actual values. R^2 is a measure of how well the regression equation fits the data and is calculated as the proportion of the total variation in the dependent variable (runs per IP) that is explained by the independent variables (SO per IP and HR per IP).
Using the regression equation and the data in the table, we can calculate R² as follows
SSR = ∑(predicted runs per IP - mean runs per IP)² = 57.102
SSE = ∑(actual runs per IP - predicted runs per IP)² = 44.033
SST = ∑(actual runs per IP - mean runs per IP)² = 101.135
R² = SSR / SST = 57.102 / 101.135 = 0.5646 (rounded to four decimal places)
Ra² is the adjusted R², which takes into account the number of independent variables in the regression equation and adjusts R² accordingly to penalize for overfitting. Ra² is calculated as follows
Ra² = 1 - (SSE / (n - k - 1)) / (SST / (n - 1))
where n is the sample size and k is the number of independent variables.
Using the values calculated above, we can calculate Ra² as follows
Ra² = 1 - (44.033 / (21 - 2 - 1)) / (101.135 / (21 - 1)) = 0.4912 (rounded to four decimal places)
Therefore, R² is 0.5646 and Ra² is 0.4912.
If we use ERA as the dependent variable instead of runs per IP, we would need to estimate a new regression equation. However, since ERA is also based on runs given up per IP, it is likely that the new regression equation would provide a similar fit to the data. The quality of the fit would depend on the relationship between ERA, SO per IP, and HR per IP.
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--The given question is incomplete, the complete question is given
" Player Team w W L ERA SO/IP / HR/IP R/IP Verlander, DET 24 5 5 2.40 1.00 0.10 0.29 Beckett, BOS 13 7 2.89 0.91 0.11 0.34 Wilson, C TEX 16 7 2.94 0.92 0.07 0.40 Sabathia, c NYY 19 8 3.00 0.97 0.07 0.37 Haren, D LAA 16 10 3.17 0.81 0.08 0.38 McCarthy, B OAK 9 9 3.32 0.72 0.06 0.43 Santana, E LAA | 11 12 3.38 0.78 0.11 0.42 Lester, BOS 15 9 3.47 0.95 0.10 0.40 Hernandez, F SEA | 14 | 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 9 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 10 4.00 0.82 0.13 0.52 Tomlin, CLE 12 7 4.25 0.54 0.15 0.48 Pavano, c. MIN 9 13 4.30 0.46 0.10 0.55 Danks, CWS 8 8 12 4.33 0.79 0.11 0.52 Guthrie, BAL 9 17 4.33 0.63 0.13 0.54 Lewis, TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 9 9 4.43 0.89 0.15 0.52 Davis, W TB | 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 14 9 4.75 0.57 0.10 0.57
B OAK 9 9 3.32 0.72 0.06 0.43 Santana, E LAA | 11 | 12 3.38 0.78 0.11 0.42 Lester, BOS 15 9 9 3.47 0.95 0.10 0.40 Hernandez, F SEA | 14 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 9 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 8 10 4.00 0.82 0.13 0.52 Tomlin, CLE 12 7 4.25 0.54 0.15 0.48 Pavano, MIN 13 4.30 0.46 0.10 0.55 Danks, CWS 8 8 12 4.33 0.79 0.11 0.52 Guthrie, BAL 9 17 4.33 0.63 0.13 0.54 Lewis, C TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 9 4.43 0.89 0.15 0.52 Davis, W TB 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 4.75 0.57 0.10 0.57
An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average number of home runs per inning pitched. What are the values of
R2 and Ra2?
(Round your answers to four decimal places.)
R2=
Ra2=
suppose the earned run average (era) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. does the estimated regression equation that uses the era provide a good fit to the data? explain."--
Please help me with this homework
Answer:
x= 68
Step-by-step explanation:
80+ 32+ x= 180
112 +x= 180
x= 180-112
x= 68
Answer:
68
Step-by-step explanation:
Since every single triangle is 180 degrees, we can add 32 + 80 and subtract that from 180 to get our answer.
[tex]32+80 = 112[/tex]
[tex]180-112=68[/tex]
You can check your work by:
[tex]32+80+68=180[/tex]
[tex]112+68=180[/tex]
[tex]180=180[/tex]
So your answer is 68.
Hope this helps!
Mrs. Campos drives 23 miles each way to visit her daughter every other weekend. Over six weeks, how far does she drive?
PLS HELP i need to find out what the anwser is
What percentage of take-home pay is spent on food and credit card expenses? (round to nearest whole percent)A 26%
b 31%
c 27%
d 29%
Answer:
Step-by-step explanation:
D
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall.
The length of the straight line calculated between school and the fire station is equal to 4.6 miles ( nearest tenth ).
Location of town hall is 4.3 miles directly east of the middle school.
Location of fire station is 1.7 miles directly north of town hall.
To find the length of the straight line between the school and the fire station,
Apply the Pythagorean theorem,
Which states that in a right triangle the square of the length of the hypotenuse the longest side is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance between the school and Town Hall, and the distance between Town Hall and the fire station form a right triangle,
So, we can calculate the length of the hypotenuse as,
√(4.3² + 1.7²)
≈ √(18.49 + 2.89)
≈ √21.38
≈ 4.62
≈ 4.6 miles ( Rounding to the nearest tenth)
Therefore, the length of the straight line between the school and the fire station is approximately 4.6 miles.
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The above question is incomplete, the complete question is:
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall. What is the length of a straight line between the school and the fire station? Round to the nearest tenth.
A scientist uses a submarine to study ocean life. She begins at sea level, which is at an elevation of 0 feet. She travels straight down for 90 seconds at a speed of 3. 5 feet per second. She then travels directly up for 30 seconds at a speed of 2. 2 feet per second. After this 120-second period, how much time, in seconds, will it take for the scientist to travel back to sea level at the submarine's maximum speed of 4. 8 feet per second? Round your answer to the nearest tenth of a second. Show your work.
The time it will take for "scientist" to "travel-back" to "sea-level" with submarine's maximum speed as 4.8 feet per second is 51.9 seconds.
We know a relationship that : Distance = Speed × time,
For the "First-Travel" :She travels "straight-down" for 90 seconds with speed of 3.5 feet per second,
So, Distance covered is = 90 × 3.5 = 315 ft,
For the Second travel :She then travels "directly-up" for 30 seconds with speed of 2.2 feet per second,
So, Distance covered is = 30 × 2.2 = 66 ft,
The "Net-Change" in position from "sea-level" is = 315 - 66 = 249 ft,
The Maximum speed of submarine is = 4.8 feet per second,
We know that, Time taken = Distance/speed,
⇒ Time taken = 249/4.8 = 51.875 seconds ≈ 51.9 seconds.
Therefore, it will take 51.9 seconds to return to sea level.
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when conducting a hypothesis test, the experimenter failed to reject the null hypothesis when the null hypothesis was really true. what type error was made? a. no error b. type i error c. type ii error d. measurement error
When the experimenter fails to reject the null hypothesis when the null hypothesis is really true, the option (c) type II error is made.
When conducting a hypothesis test, there are two possible errors that can occur: type I and type II errors. Type I error is the rejection of a true null hypothesis, while type II error is the failure to reject a false null hypothesis. In other words, a type II error occurs when the experimenter accepts the null hypothesis when it should have been rejected.
This can lead to a false conclusion that there is no significant difference or effect when there actually is. It is important to minimize both types of errors in hypothesis testing, but the type II error can be particularly dangerous as it can lead to missed opportunities for important discoveries.
Therefore, the correct option is (c) type II error.
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copy and complete the table for the graph 2x-y=8
The values of y When x = -2, 0 and 2 are:
At x = -2, y = -12
At x = 0, y = -8
At x = 2, y = -4
How to complete the table of Linear equation graph?The general form of the equation of a straight line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
Let us rewrite the given equation in slope intercept form to get:
y = 2x - 8
Thus, from the table, we want to find y when x = -2, 0 and 2
When x = -2, we have:
y = 2(-2) - 8
y = -12
When x = 0, we have:
y = 2(0) - 8
y = -8
When x = 2, we have:
y = 2(2) - 8
y = -4
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What is the area of this triangle in the coordinate plane?
Responses
5 units²
6 units²
7 units²
12 units²
Answer: 6 units^2
Step-by-step explanation:
Formula for area of a triangle: (B)(H)(1/2)
Base: 4
Height: 3
Substitute the numbers:
(4)(3)(1/2)
12(1/2)
6
6 units squared
URGENT - Will also give brainliest to simple answer
Answer:
Step-by-step explanation:
A circle has a total angle measurement of 360 degrees.
To find the number of slices given a certain angle, simply perform
360/central angle.
For example, if the central angle is 180, you'll have two sections.
360/180 = 2.
kari is building a rectangular garden bed. the length is 6 feet. she has 20 feet of boards to make the sides. write and solve an inequality to find the possible width of her garden bed
The possible width of Kari's garden bed is less than or equal to 4 feet.
We have,
Let's assume the width of the garden bed to be x feet.
To create a rectangular garden bed with a length of 6 feet, we need two sides of length 6 feet and two sides of length x feet.
Since Kari has only 20 feet of boards to make the sides, we can write an inequality as:
2(6) + 2x ≤ 20
Simplifying this expression, we get:
12 + 2x ≤ 20
Subtracting 12 from both sides, we get:
2x ≤ 8
Dividing both sides by 2, we get:
x ≤ 4
Therefore,
The possible width of Kari's garden bed is less than or equal to 4 feet.
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My question is A bag Contains 12 margoea which 4 are not ripe. What the chance of picking at random aripe mango
The probability of picking up a ripe mango at random from a bag containing 12 mangoes is equal to 2 /3.
Total number of mangoes in the bag = 12
Total number of mangoes in the bag which are not ripe = 4
Then the number of ripe mangoes is equal to,
= 12 - 4
= 8
So, probability of picking a ripe mango at random can be calculated by dividing number of ripe mangoes by total number of mangoes.
This implies,
P(ripe mango)
= Number of ripe mangoes / Total number of mangoes
= 8 / 12
= 2 / 3
≈ 0.667
Therefore, the chance of picking at random a ripe mango is approximately 0.667 or 2/3.
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a plane intersects a double-napped cone only at the cone's vertex. which terms describe the degenerate conic section that is formed? select each correct answer.
When a plane intersects a double-napped cone only at the cone's vertex, the degenerate conic section that is formed is called a point.
In this case, the plane does not cut through the cone's surface, so it does not create any other conic sections such as an ellipse, parabola, or hyperbola. The intersection is simply the single point at the vertex of the cone. A double-napped cone is a 3-dimensional geometric shape that looks like two cones joined at their bases, pointing in opposite directions. When a plane intersects a double-napped cone, it can create various types of conic sections, such as circles, ellipses, parabolas, or hyperbolas, depending on the angle and position of the plane relative to the cone.
However, if the plane intersects the cone only at the vertex, which is the point where the two cones meet, then the resulting conic section is a degenerate one, specifically a point. This is because the plane cuts through both cones at their narrowest point, where they converge to a single point, and does not intersect any other part of the cones. Therefore, the intersection between the plane and the double-napped cone is just a single point, which is the degenerate conic section formed in this case.
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Complete question:
A plane intersects a double-napped cone only at the cone's vertex. Which terms describe the degenerate conic section that is formed?
Select each correct answer.
degenerate paraboladegenerate ellipselinedegenerate hyperbolapointpair of intersecting linesyou are predicting when there will be zero married people in the united states. the r^2 value for your trendline equation is 0.9999. you do not believe that there will ever be a time when we have zero married people - someone, somewhere will probably always want to get married! when writing your confidence argument, the level of confidence you would have is:
The high R-squared value indicates that time is a strong predictor of the number of married people in the United States, it is important to consider the limitations of the equation and the uncertainty in the prediction.
First, let's talk about the R-squared value of your trendline equation.
Now, let's talk about your belief that there will never be a time when we have zero married people. This belief is not accounted for in your trendline equation, as it is purely based on your personal belief rather than any data or statistical analysis.
When it comes to confidence level, we need to consider the uncertainty in the prediction. Since we know that there will likely always be some people who want to get married, we can say with a high level of confidence that the number of married people will never actually reach zero.
In mathematical terms, we can use the equation for the confidence interval to determine the range of values within which we can be confident the true value will fall.
This equation takes into account the standard error of the estimate (the degree of variability in the data) and the desired level of confidence (typically 95% or 99%). However, since we know that the true value will never be zero, this equation is not particularly useful in this case.
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An iron rod has a diameter of 3.5cm and a height of 5.5cm. if the mass of the rod is 41.82kg, find the density in g/cm3
Answer:
Step-by-step explanation:
The volume of the iron rod can be calculated using the formula for the volume of a cylinder:
V = πr^2h
where r is the radius of the cylinder, which is half of the diameter. Therefore, the radius of the iron rod is 3.5/2 = 1.75 cm.
Substituting the given values, we get:
V = π(1.75)^2(5.5)
V = 68.728 cm^3
The density of the iron rod can be calculated using the formula:
density = mass / volume
Substituting the given values, we get:
density = 41.82 kg / 68.728 cm^3
We need to convert kg to g and cm^3 to cm^3, so we multiply by 1000/1 and 1/1, respectively:
density = (41.82 kg / 68.728 cm^3) x (1000 g / 1 kg) x (1 cm^3 / 1 cm^3)
density = 610.34 g/cm^3
Therefore, the density of the iron rod is 610.34 g/cm^3 (to two decimal places).
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when representing a frequency distribution with a bar graph which bars will be the tallest? A) a bar representing a frequency of 15 B) a bar representing a frequency of 5 C) a bar representing a frequency of 20 D) a bar representing a frequency of 10
Answer:
The bar that represents the tallest frequency will be the one with the highest value. Therefore, in this case, the tallest bar will be the one that represents a frequency of 20, as option C states.
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 443.0 gram setting. it is believed that the machine is underfilling the bags. a 48 bag sample had a mean of 439.0 grams. a level of significance of 0.05 will be used. is there sufficient evidence to support the claim that the bags are underfilled? assume the standard deviation is known to be 25.0 .
Due to availability of evidence we support the claim that the bags are underfilled, therefore we reject the null hypothesis, under the condition bag filling machine works correctly at the 443.0 gram setting.
The null hypothesis is that the bags are considered not underfilled and the other alternative hypothesis is that the bags are underfilled.
The level of significance is 0.05 which means that we have to reject the null hypothesis if the p-value < 0.05.
Given,
The sample size is 48 and the sample mean is 439 grams. Standard deviation = 25 grams.
The test statistic is evaluated
Z = (x'- μ) / (σ / √n)
Here,
x' = sample mean,
μ = hypothesized population mean,
σ = population standard deviation,
n = sample size.
Staging the values we get:
Z = (439 - 443) / (25 / √48)
= -2.45
The p-value can be calculated applying a Z-table.
Z = -2.45 is approximately 0.0071.
Since the p-value (0.0071) is less than the level of significance (0.05), we reject the null hypothesis.
Hence, there is enough proof to support the fact that the bags are underfilled.
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Find the surface area of this prism.
A prism, all dimensions centimeters. The base of the prism is a 6 by 6 rectangle with a 3 by 3 square removed from the corner. The prism is 9 centimeters high.
What is the surface area???
The value of the surface area of this prism is, 324 cm²
Now,
The first step is to find the area of the top and bottom faces of the prism.
Since, The base of the prism is a 6 by 6 rectangle with a 3 by 3 square removed from the corner,
so the area of each of the two bases is:
(6 x 6) - (3 x 3) = 36 - 9 = 27 square centimeters.
The next step is to find the area of the four side faces of the prism. Since the prism is rectangular, the area of each of the four side faces is:
6 x 9 = 54 square centimeters.
Therefore, the total surface area of the prism is:
SA = 2 x (27 square centimeters) + 4 x (54 square centimeters)
= 108 + 216 = 324 square centimeters.
So, the surface area of the prism is 324 square centimeters.
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A rectangular skateboard park has an area of x^{2} + 15x + 54. What are the possible dimensions of the park? Use factoring.
The possible dimensions of the skateboard park are (x + 9) by (x + 6), where x > -6.
What is rectangle?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
The area of a rectangular skateboard park can be expressed as the product of its length and width. Therefore, we need to factor the quadratic expression x² + 15x + 54 to determine its possible dimensions.
x² + 15x + 54 factors into (x + 9)(x + 6).
So, the possible dimensions of the park are x + 9 and x + 6.
Note that since x represents a length, the dimensions of the park must be positive. Therefore, x + 9 and x + 6 must both be greater than zero.
Solving for x, we get:
x + 9 > 0
x > -9
x + 6 > 0
x > -6
Since x must be greater than both -9 and -6, the possible values of x are x > -6.
Therefore, the possible dimensions of the skateboard park are (x + 9) by (x + 6), where x > -6.
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goog8.24 instant versus fresh-brewed coffee. a matched pairs experiment compares the taste of instant with fresh-brewed coffee. each subject tastes two unmarked cups of coffee, one of each type, in random order, and states which they prefer. of the 50 subjects who participate in the study, 32 preferred the fresh- brewed coffee. a. test the claim that a majority of people preferred the taste of fresh-brewed coffee. report the large-sample z statistic and its p-value. b. draw a sketch of a standard normal curve and mark the location of your z statistic. shade the appropriate area that corresponds to the p-value. c. is your result significant at the 5% level? what is your practical conclusion?
The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.
To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:
Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)
Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)
We will use a one-tailed test with a significance level of α = 0.05.
To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee
P = (60 - 21) / 60 = 0.65
where 60 is the total number of subjects and 21 is the number who prefer instant coffee.
Next, we need to calculate the standard error of the sample proportion:
SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078
where n is the sample size.
Finally, we can calculate the z statistic:
z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923
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The given question is incomplete, the complete question is:
A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic
URGENT - Will also give brainliest to simple answer in terms of pi
A circle has radius 1 unit, find the length of the arc defined by each of these central angles
360 degrees
Answer:
2pi
Step-by-step explanation:
Since the central angle is 360°, the arc in question here is the whole entire circle. It is the circumference. The circumference of a circle is:
C = pi•d
The radius is 1 unit. So the diameter is 2 units.
C = pi•2
C = 2pi
360° is the whole circle, so the arc is the whole circle. It is the circumference, 2pi
A machine makes 48 bolts every hour.
The machine makes bolts for 72 hours each day, on 5 days of the week.
The bolts are packed into boxes. Each box holds 30 bolts.
How many boxes are needed for all the bolts made each week?
Answer:
576 boxes needed for each week
Step-by-step explanation:
h= hours
b= bolts
d= days
1h= 48b
72h =3456b
72h x 5d= 360h
360h x 48b= 17, 280b
17, 280b / 30b= 576
If each box holds 30 bolts, we need 576 boxes each week to fit all 17, 280 bolts.
Write and solve a real-world problem that can be modeled by the division expression 8/12 ÷ 9/12. Identify what the dividend, divisor, and quotient represent in your problem. Show your work.
Answer:
exchange 9 with 12
simplyfy both til 1/2*4/3
2/3 finally
Bilquis and Kayla are reading the same book. At the beginning of the month, Bilquis was on page 23 and Kayla was on page 2. Bilquis will read 7 pages per day and Kayla will read 14 pages per day. Let
B represent the page of the book that Bilquis is on at the end oftt days into the month, and let K represent the page of the book that Kayla is on at the end of t days into the month. Write an equation for each situation,in terms of t, and determine whether Bilquis or Kayla is farther along in the book after 4 days.
Kayla has read more pages than Bilquis after 4 days, so she is farther along in the book.
The equation to represent the situation of Bilquis would be B = 23 + 7t
The equation to represent the situation of Kayla would be K = 2 + 14t
For Bilquis, the equation to represent the situation would be B = 23 + 7t, where B is the page of the book that Bilquis is on at the end of t days into the month.
For Kayla, the equation to represent the situation would be K = 2 + 14t, where K is the page of the book that Kayla is on at the end of t days into the month.
The equations help us to calculate the page number of each reader at any given point in time. Bilquis starts at page 23 and reads 7 pages a day, so we add 7t to her starting point. Kayla starts at page 2 and reads 14 pages a day, so we add 14t to her starting point. By comparing their page numbers after a certain number of days, we can determine which reader is farther along in the book.
After 4 days,
Bilquis would be on page = 23 + 7(4) = 51
Kayla would be on page = 2 + 14(4) = 58.
Therefore, Kayla would be farther along in the book after 4 days with a gap of 7 pages with Bilquis.
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6) Find the sum of 27076 +0.55 +0.004
Answer:
The sum is 27,076.554.
Step-by-step explanation:
The sum of 27076, 0.55, and 0.004 is:
27076 + 0.55 + 0.004 = 27076.554
Therefore, the sum is 27,076.554.
Factor the trinomial and show your work.
2x^2 + 22x + 60
Answer:
x=-5,-6
Step-by-step explanation:
x²+11x+30=0
(x+5)(x+6)=0
roger purchased a pair of pants for 4.50 and a new a new for 12.00 he had a 10% discount on his total purchased and paid 8.5% sales tax what was the total for rogers purchased
The total amount purchased by Roger is
$16.11.How to find the total purchasesCalculating the sum of his purchase, Roger's total cost before any discounts or taxes amounted to:
4.50 + 12.00 = 16.50
Taking into account a ten percent discount on this total, the deduction was found to be:
0.10 * 16.50 = 1.65
where 10% = 0.1
Concluding, the total cost after the discount presented was:
16.50 - 1.65 = 14.85
Furthermore, 8.5% tax is determined of 14.85 equalling out to:
0.085 * 14.85 = 1.26
where 8.5% = 0.085
the final total cost for Roger's purchase is solved by addition of the amount after tac and amount after the discount:
14.85 + 1.26 = 16.11
Hence, the complete cost for Roger's acquisition totalled $16.11.
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[tex](4)/(\sqrt(3))[/tex]
Answer:
[tex]\frac{4\sqrt{3} }{3}[/tex]
or
[tex]2.30940107[/tex]
Hope This Helps :)
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test the claim that the proportion of teenagers who receive all the recommended doses of the hpv vaccine is not equal to 0.50. in 2018, a random sample of 200 teenagers was obtained. in this sample 110 of the 200 had received all the recommended doses. use a significance level of
To test the claim that the proportion of teenagers who receive all the recommended doses of the HPV vaccine is not equal to 0.50, we can use a hypothesis test.
Let p be the true proportion of teenagers who receive all the recommended doses of the HPV vaccine.
Our null hypothesis is that the true proportion is equal to 0.50, i.e. H0: p = 0.50. Our alternative hypothesis is that the true proportion is not equal to 0.50, i.e. Ha: p ≠ 0.50.
We can use a normal approximation to the binomial distribution to perform the hypothesis test. Under the null hypothesis, the sample proportion of teenagers who received all the recommended doses of the HPV vaccine follows a normal distribution with mean 0.50 and standard deviation σ = √((0.50)(1-0.50)/200) = 0.05.
Using the sample data, the test statistic is:
z = (p' - p) / σ = (0.55 - 0.50) / 0.05 = 1.00
where p' = 110/200 = 0.55 is the sample proportion.
The p-value for a two-sided test with a test statistic of 1.00 is approximately 0.32. Since the p-value is greater than the significance level of α = 0.05, we fail to reject the null hypothesis.
Therefore, we do not have sufficient evidence to conclude that the proportion of teenagers who receive all the recommended doses of the HPV vaccine is different from 0.50 at the 5% significance level.
To know more about null hypothesis, refer:
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I NEED HELP ON THIS ASAP!!!
Answer: are there any other pictures or other ways to word it?
A rectangular portrait is 6 feet wide and 6 feet high. What is its perimeter?
Answer:
24
Step-by-step explanation:
It cant be rectangle since it is 6 feet wide and 6 feet high. it became a squre. the perimeter is
6+6+6+6 = 24
