Question 3 ▼ Part 1 of 4 A college professor believes that students achieve a higher grade point average (GPA) in the fall semester than in the spring semester. To test her theory, she samples 38 of her fall semester students and 40 of her spring semester students. The fall semester students had an average semester GPA of 2.99 with a standard deviation of 0.45; the spring semester students had an average semester GPA of 2.92 with a standard deviation of 0.41. If the GPAS in both student populations are normally distributed, conduct a hypothesis test using a 5% level of significance to test the professor's theory. Step 1: State the null and alternative hypotheses. Let up indicate the mean GPA of fall semester students and us indicate the mean GPA of spring semester students. Ho: up-us svo Hai Fus - (So we will be performing a right-tailed 0 Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. The differences of sample means are t-distributed and distribution standard deviation 0.098 ✔0 ✓✓test.) Step 3: Find the p-value of the point estimate. P(dzv Submit Part p-value = 0.2387 Question Help: D Post to forum Ptv 0.716,76 with distribution mean 0 > = 0,2387 Part 3 of 4
Question 3 ▼ Part 1 of 4 A college professor believes that students achieve a higher grade point average (GPA) in the fall semester than in the spring semester. To test her theory, she samples 38 of her fall semester students and 40 of her spring semester students. The fall semester students had an average semester GPA of 2.99 with a standard deviation of 0.45; the spring semester students had an average semester GPA of 2.92 with a standard deviation of 0.41. If the GPAS in both student populations are normally distributed, conduct a hypothesis test using a 5% level of significance to test the professor's theory. Step 1: State the null and alternative hypotheses. Let up indicate the mean GPA of fall semester students and us indicate the mean GPA of spring semester students. Ho: up-us svo Hai Fus - (So we will be performing a right-tailed 0 Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. The differences of sample means are t-distributed and distribution standard deviation 0.098 ✔0 ✓✓test.) Step 3: Find the p-value of the point estimate. P(dzv Submit Part p-value = 0.2387 Question Help: D Post to forum Ptv 0.716,76 with distribution mean 0 > = 0,2387 Part 3 of 4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 3
Part 1 of 4
A college professor believes that students achieve a higher grade point average (GPA) in the fall
semester than in the spring semester. To test her theory, she samples 38 of her fall semester
students and 40 of her spring semester students. The fall semester students had an average
semester GPA of 2.99 with a standard deviation of 0.45; the spring semester students had an
average semester GPA of 2.92 with a standard deviation of 0.41. If the GPAS in both student
populations are normally distributed, conduct a hypothesis test using a 5% level of significance to
test the professor's theory.
E
Step 1: State the null and alternative hypotheses. Let up indicate the mean GPA of fall
semester students and us indicate the mean GPA of spring semester students.
Ho:upus so
Ha: μF - μs > v
(So we will be performing a right-tailed
✔
C
✓
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the
differences of sample means.
The differences of sample means are t-distributed
and distribution standard deviation 0.098
Submit Part
Step 3: Find the p-value of the point estimate.
Pd zvo
4
p-value=0.2387 ✓
Question Help: D Post to forum
R
✓✓test.)
x) = P(tv✔✔ 0.716,76 ✓= 0.2387 ✓
%
✓
5
Search or type URL
T
with distribution mean o
A
6
▼
Y
&
7
U
Part 3 of 4
* 00
8
9
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