Suppose Diana, an educational researcher at a local university, wants to test the impact of a new Spanish course that integrates cultural-immersion teaching techniques with standard teaching practices. She selects a simple random sample of 72 freshmen and divides them into 36 pairs, matched on IQ and high school GPA. She randomly selects one member of each pair to take the new course, while the other member in the pair takes the traditional course.
Next, Diana records the course grade, tallied on a scale from 0 to 4, for all sample members at the end of the semester, and she computes the difference in grades between the members in each matched pair by subtracting the traditional course grade from the new course grade. She wants to determine if the new Spanish course improves or weakens student performance. She runs a matched-pairs t-test to test the null hypothesis, H0:μ=0, against the alternative hypothesis, H1:μ≠0, where μ is the mean course grade difference for the student population.
The sample statistics for Diana's test are summarized in the table.
Variable
description Sample
mean Sample standard
deviation Standard error
estimate
traditional course grade x⎯⎯trad= 3.33496 strad=2.02198 SEtrad=0.33700
new course grade x⎯⎯new=3.45287 snew=2.11043 SEnew=0.35174
difference (new − traditional) x⎯⎯=0.11791 s=0.31452 SE=0.05242
Although Diana does not know the standard deviation of the underlying population of course grade differences, she assumes that the population is normally distributed because the sample data are symmetric, single-peaked, and contain no outliers.
Compute the t-statistic for Diana's matched-pairs t-test. Provide your answer with precision to three decimal places.
Compute the p-value of the t-statistic using software. You may find some software manuals helpful. Provide your answer precise to three decimal places.
t=p =
Select the accurate statement regarding Diana's test decision if she tests at a significance level of α=0.05.
Diana should fail to reject the null hypothesis because the mean grade difference is too small.
Diana should reject the null hypothesis because the p-value is greater than the value α=0.05.
Diana should reject the null hypothesis because the p-value is less than the value α=0.05.
Diana should fail to reject the null hypothesis because the p-value is greater than 0.025.
Diana should fail to reject the null hypothesis because the p-value is greater than the value α=0.05.
Diana should reject the null hypothesis because the p-value is less than the value α=0.05.
Given that,
Let's say Diana, a researcher in education at a nearby university, wants to assess the effectiveness of a brand-new Spanish course that combines cultural immersion teaching methods with conventional teaching methods. She chooses a simple random sample of 72 freshmen, matches their IQs and high school GPAs, and then divides them into 36 pairs. She chooses one student from each pair at random to enroll in the new course, while the other student in the pair enrolls in the standard course.
We have to find the p-value.
We know that,
Let
t= difference/standard error =(0.11791)/(0.05242)=2.249
From excel: p value =t distance(2.249,36,2)=0.031
Since p value <0.05
Therefore, Diana should reject the null hypothesis because the p-value is less than the value α=0.05.
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Of 350 students polled, some have a cat, some have a dog, and some have both. One hundred seventy-five students have a cat and 140 have both types of pets. How many students have a dog only? explain.
There are 35 students that have only dogs
What is subset?
If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.
Total students =350
Cats only student = 175
Having both pets student= 140
Students having dog= 350- 175 = 175
Dogs only student = 175 - 140 = 35
So, There are 35 students which have dog only.
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What i the lope of a ki run that rie 5 feet for every horizontal change of 12 feet? Pl how work
The slope of a ki run that rise 5 feet for every horizontal change of 12 feet. The horizontal change of 12 feet is 2.0833.
The The slope of a line is "upward thrust over run". That could be 6/30 on this case. That may be simplified to 1/5 (via way of means of dividing each numbers via way of means of 6).That makes the slope 1/5 (or 0.2 as a decimal.
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Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.
The two consecutive integers that will make the inequality true are 13 and 14.
What is Inequality?inequality, is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
If you check for the square root of 181 [tex]\sqrt{181}[/tex] is 13.453
And the two consecutive integers smaller than 13.45 and greater than 13.45 are 13 and 14 respectively.
In conclusion, the two consecutive integers for the expression are 13 and 14.
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using the equation for the line of best fit, predict the year in which only 38,000 items of clothing will be donated to the homeless shelters in new york city.
The year in which only 38,000 items of clothing will be donated to the homeless shelters in new york city. is 2020, using the concept of linear equation.
The above problem is related to a linear equation, A linear equation is a condition in which the highest power of the variable is always 1. It is additionally known as a one-degree equation. The standard form of a linear condition in one variable is of the form Ax + B =0 .from the given graph we can come up with the equation which bests fits for x to be the number of the year from 1992 and y to be the number of clothes donated in thousands, which is y=-0.375x+48.5
now for the given situation:
-0.375x+48.5 = 38
=>-0.375x= 38-48.5
=-0.375x = -10.5
=>x = -10.5/ 0.375 = 28
so it is 2020
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the complete question attached herewith.
What is the behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero?.
The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is the polynomial's final behavior will be "down" on the left and "up" on the right.
Define polynomial function.In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. Expressions that contain variables of various intensities, non-zero coefficients, positive exponents (of variables), and constants are known as polynomial functions. For instance, the polynomial in "b" of degree 2 is f(b) = 4b² - 6.
Given,
The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is:
This odd-degree polynomial's end behavior will resemble that of a positive cubic because its leading coefficient is positive. As a result, the polynomial's final behavior will be "down" on the left and "up" on the right.
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given that the degree of the polynomial f(x) is 4, which of the following most accurately describes the number of x-intercepts that f(x) has?
Answer:
the degree of f(x) is at least 4
Step-by-step explanation:
use the left and right riemann sums with 3 rectangles to estimate the signed area under the curve of y
Step-by-step explanation:
Hello, I need the function in order to give you a exact answer.
What is 7 to the power of 7 divided by 7?
Answer:117,649
Step-by-step explanation:
FILL IN THE BLANK. A.Electrons in a cyclic conjugated system. B.The compound is (a, aa, or na) A. Determine the number of electrons in a system of cyclic conjugation (zero if no cyclic conjugation). B. Specify whether the species is "a"-aromatic, "aa"-anti-aromatic, or "na"-non-aromatic (neither aromatic nor anti-aromatic). (Presume rings to be planar unless structure obviously prevents planarity. If there is more than one conjugated ring, count electrons in the largest.) OCH3 1. A.Electrons in a cyclic conjugated system. B.The compound is (a, aa, or na) ___
1. The electrons are not in a cyclic conjugated system.
The number of electrons in a system of cyclic conjugation is 6.
The compound is a.
2. Electron is in cyclic conjugated system, and have 8 electrons.
The compound is aa.
A stable cyclic conjugated system is created by omitting one saturated atom in a system known as homoaromaticity. Due to the orbitals' lower overlap, it is generally predicted that the stabilisation that results will be lessened.
A conjugated system, which generally lowers the overall energy of the molecule and promotes stability, is a system of connected p-orbitals with delocalized electrons in a molecule. Typically, it is seen to have alternating single and multiple bonds. The system may contain lone pairs, radicals, or carbonium ions and it may be cyclic, acyclic, linear, or mixed.
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The original ale price of Levi' jean at Sm Department tore i Php 1 300. 0. On February 14, all jean will have a 40% dicount. How much i the dicounted price of that jean on Valentine' day?
The discounted price of the jeans on Valentines Day at the departmental store is $780.
Original price = $ 1300
Discount = 40%
Discount amount = 40% of 1300 = 520
Discounted sell price = 1300-520 = $780
The amount deducted from the list or marked price in order to provide a product for less is referred to as a "discount." Discounts can be expressed as percentages or as monetary amounts.
The discount formula accounts for the variation between the stated price, marked price, and selling price. Discounts are price reductions that a vendor makes on a product in an effort to boost sales of other products.
The discount formula helps determine how much money a buyer must hand over to the seller. The discount formula can also be calculated in percentages. Always factor in the selling price when calculating the reduction from the asking price.
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Which equations have extraneous solutions?.
A root of a transformed equation that is not the root of the original equation because it was excluded from the original equation's domain is known as an extraneous solution.
What are extraneous solutions?
A "false" solution to an equation is known as an extraneous solution. Even if we appeared to follow sound procedures when solving the equation, an extraneous solution did not fulfill the original equation.
So,
When we solve an equation, an extraneous solution is a result that does not fulfill the equation. As an illustration, if we square both sides of the equation x = -1, we obtain the value x = 1, which does not satisfy the original equation, indicating that x = 1 is an extraneous solution.
when we wanted to solve the equation √x = -1. After squaring both sides, we get a value of x = 1.
When we substitute x = 1 into the original equation, we get:
x = -1 [original equation]
√1 = -1 [substitute x = 1]
1 = -1 [this is not true]
Hence,
This equation is called an extraneous solution.
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A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean. How will these intervals differ? Group of answer choices The 90 percent confidence interval will be wider than the 95 percent confidence interval. Which interval is wider will depend on whether the sample is unbiased. Which interval is wider will depend on whether a z-statistic or a t-statistic is used. Which interval is wider will depend on how large the sample is. The 90 percent confidence interval will not be as wide as the 95 percent confidence interval.
90% confidence interval would be less than a 95% confidence interval.
Given,
A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean;
We have to find the difference between the intervals;
Here,
Confidence intervals are a range that depict the accuracy of the measurement. If a statistician chooses to use a 90% C I instead of a 95% C I, it informs you that you have a 10% probability of being incorrect as opposed to a 5% possibility when using the 95%.
That is, a 90% confidence interval would be less than a 95% confidence interval.
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Which ordered pair makes both inequalities true y x 1 YX?.
The ordered pair that makes both inequalities true is (-2,2)
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
All you have to do is substitute each choice into the equation.
(X,Y) is the format, now plug the numbers that's in that order into both the equations to see if it's true
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Question:
Which ordered pair makes both inequalities true? y < –x + 1 and y > x?
A.-3,5
B.-2,2
C.-1,-3
D.0,-1
Which expression is equivalent to 6(x â€"" 4)? â€""6x 4 6x â€"" 4 6x â€"" 24 â€""6x 24
The correct equivalent expression is 6x - 24.
Calculating the equivalent expression in this question is a one step process and requires multiplication. We will simply multiply the values in bracket with number outside the bracket. In the process, ensure copying the correct sign while writing the result.
Rewriting the expression 6(x - 4)
Equivalent expression = 6×x - 6×4
Performing multiplication on Right Hand Side of the equation
Equivalent expression = 6x - 24
Thus, the desired equivalent expression is 6x - 24.
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The complete question is -
Which expression is equivalent to 6(x-4)? 6x + 4 6x - 4 0 6x-24 0 46x + 24
Perpendicular to y = -x + 7 through (4, -6)
Answer:
y=x-10
Step-by-step explanation:
y=ax+b - linear equation
y=-x+7
a=-1
y=cx+d - perpendicular equation to y=ax+b
a*c=-1
(-1)*c=-1
c=1
y=x+d
(4,-6) => x=4, y=-6
y=x+d => -6=4+d
d=-10
y=x-10
There are 3 squares and 15 triangles. What is the simplest ratio of squares to triangles?
Answer:
The simplest ratio of squares to triangles would be: 1 to 5, 1:5, or 1/5.
Either one works, they mean the same thing.
Step-by-step explanation:
In order to find out the simplest form, see how you can divide the numbers with the highest number and the numbers coming out as low as they can. In this case the number to divide the numbers we already have would be 3:
3 divided by 3 = 1
15 divided by 3 = 5
That's why we end up with 1:5.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
How do you prove no solution?.
If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.
How do you know if a number has no solution?
Normally when solving problems you end up with something at the end saying, x= [some number]. When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.
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How do you find the measure of the side of a triangle using the law of cosines?.
To find the measure of side of triangle using the law of cosines , we use a² = b² + c² − 2bc·cosA.
The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that:
a² = b² + c² − 2bc·cosA.
The law of cosine is also known as the cosine rule. This law is useful to find the missing information in any triangle.
To find the measure of the side of triangle using the law of cosines :
Let a and b be the length of two sides of triangle and the angle between them measuring ∅ . So , to find the third side
Using the law of cosines formula,
a² = b² + c² − 2bc·cosA.
=> a² = b² + c² − 2bc·cos ∅
Replace all the values ,You will able to find third side .
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What is the 10th Amendment simple terms?.
The federal government only has powers written in the constitution and the rest or for the states
Mia buys 4 pens and 5 rubbers for £5.75.
Elise buys 1 pen and 4 rubbers for £3.5.
Work out the cost of one pen and one rubber.
Answer:
one pen costs 0.5 euros
one rubber costs 0.75 euros
Step-by-step explanation:
4p+5r=5.75
p+4r=3.5
-4r. -4r
p=3.5-4r
4(3.5-4r)+5r=5.75
14-16r+5r=5.75
14-11r=5.75
-14. -14
-11r=-8.25
r=0.75
One rubber cost 0.75 euros
Now to find cost of one pen we just fill in what we know
p+4(0.75)=3.5
p+3=3.5
-3. -3
p=0.5
1 pen cost 0.5 euros
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data earns as much money per hour as Diego Diego earns twice as much money per hour as Lynn which graphic represent how much Jada Diego and Lynn earn for different amounts of time works explain how you know be very specific graph a or graph B
Answer:
Step-by-step explanation:
did you watch the video-
an optimal solution to a linear programming problem must lie part 2 a. somewhere in the interior of the feasible region. b. at the intersection of at least two constraints. c. somewhere outside of the feasible region. d. somewere on the line between two corner points.
The correct option is b which tells that an optimal solution to a linear programming problem must lie at the intersection of at least two constraints.
Linear programming is an optimization technique that is fine for the purpose of getting the best solution such as maximizing profit or certain 4th-era quantities.
When there are just two choice variables, the graphic method of solving a linear programming issue can be employed.
It is fine by modelling real-life problems into mathematical models that have linear relationships or constraints such as in the form of objective functions.
In linear programming, an objective function defines the formula for quantity optimization and the goal from this is to determine variable values that maximize or minimize the objective function depending on the problem robbery solved.
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please answer asap (15 points)
only write down what I gotta put in the box and explanation
Answer:
b=14
Step-by-step explanation:
slope intercept form is y=mx+b
So we fill in the coordinates and what we already know to find b
9=-5(1)+b
9=-5+b
+5 +5
14=b
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Translate the phrase -19y and 20y is -6 into a algebraic equation.
Answer:
-19y+20y=-6 and y=-6
Step-by-step explanation:
"and" means plus so its would be -19y+20y
"is"=equal sign so -19y+20y=-6
-19y+20y=y
y=-6
A sample of students will be selected from all the students at a high school. Which of the following sampling methods is least likely to produce a representative sample of the students?
From a randomly chosen home basketball game, choose every tenth student who enters the gymnasium.
Convenience sampling is the least likely to produce a representative sample of the students.
What is convenience sampling?Using the convenience sampling technique, individuals are chosen based on their accessibility and availability. This kind of sampling is frequently employed in studies when the objective is to swiftly collect data from a sample group rather than to acquire a representative sample of the population. If a person is willing to engage in the study to the researcher, they are chosen for convenience sampling. The primary advantage of this strategy is that it is very simple and quick to apply; however, the primary downside is that the sample may not be representative of the population. This can result in skewed or false findings.
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How can you determine if the two triangles are congruent by ASA?.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the other triangle.
Define the term ASA conguency?ASA (angle, side, angle) ASA, which translates for "angle, side, angle," denotes the existence of two triangles whose included side and two known angles are equal.
The triangles are congruent if two angles and the additional side of one triangle match the corresponding angles plus side of another triangle.To demonstrate the Angle-Angle-Side Congruence Theorem, use the ASA Postulate. The triangles are congruent if two angles as well as a nonincluded side with one triangle are congruent with two angles and the equivalent nonincluded side of some other triangle.Thus, when two angles with the included side with one triangle are equal to two angles the included side of another triangle, two triangles are said to be congruent.
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A gardener has 1040 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.
The greatest possible area for the garden is 135200 ft^2 with a shorter side at 260 ft and a longer side at 520 ft
Let L be the length and W be the width of the garden.
So, L + 2W = 1040
Area = A
= LW
=(1040 - 2W)W
= 1040W - 2W^2
To maximize the area:
take the derivative of A and set = 0
That is:
A' = 1040 - 4W = 0
4W = 1040
W = 1040/4
= 260
And L = 1040 - 2W
= 1040 - 520
= 520
So,
shorter side =260 ft
longer side =520 ft
Computing the greatest possible are using the length of the shorter and the longer side we get:
greatest possible area: =LW=(260)(520)=135200 ft2
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The number of students in 2001 is 150.4 thousand and the number of students in 2018 is 467.5 thousand
The number of students in 2001From the question, we have the following function that can be used in our computation:
y = 123.1(1.069)ˣ
Such that
x = Number of years after 1998
In the year 2001, the value of x is calculated as
x = Current year - 1998
So, we have
x = 2001 - 1998
Evaluate
x = 3
Substitute x = 3 in the equation y = 123.1(1.069)ˣ
y = 123.1(1.069)³
Evaluate
y = 150.4
The number of students in 2018In the year 2018, the value of x is calculated as
x = Current year - 1998
So, we have
x = 2018 - 1998
Evaluate
x = 20
Substitute x = 20 in the equation y = 123.1(1.069)ˣ
y = 123.1(1.069)²⁰
Evaluate
y = 467.5
Hence, the number of students in 2018 is 467.5
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Anthony is a waiter at a restaurant. Each day he works, anthony will make a guaranteed wage of $35, however the additional amount that anthony earns from tips depends on the number of tables he waits on that day. From past experience, anthony noticed that he will get about $7 in tips for each table he waits on. How much would anthony expect to earn in a day on which he waits on 20 tables? how much would anthony expect to make in a day when waiting on tt tables?.
Anthony's expected earning would be $175 in a day when he waits in 20 tables.
According to the question,
We have the following information:
Each day Anthony works, Anthony will make a guaranteed wage of $35, however the additional amount that Anthony earns from tips depends on the number of tables he waits on that day. From past experience, Anthony noticed that he will get about $7 in tips for each table he waits on.
Now, for waiting on 20 tables, he will get the fixed amount of 35 dollars and the amount for 20 tables.
So, the total amount will be:
35+7*20
35+140
$175
Hence, Anthony would expect to earn $175 in a day when he waits in 20 tables.
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