Homework Help is Here – Start Your Trial Now!
Math
Statistics
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: HF-Hs SVV0 Ha: HF-Hs0 (So we will be performing a right-tailed ✓✓test.) 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. with distribution mean

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: HF-Hs SVV0 Ha: HF-Hs0 (So we will be performing a right-tailed ✓✓test.) 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. with distribution mean

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
See similar textbooks
icon
Related questions
Question
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:μF-Hs SVV0 Ha: Fus > (So we will be performing a right-tailed Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. Question Help: Post to forum The differences of sample means are t-distributed and distribution standard deviation. C ✓✓test.) Submit Part with distribution mean Search or type URL ..........
Transcribed Image Text: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:μF-Hs SVV0 Ha: Fus > (So we will be performing a right-tailed Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. Question Help: Post to forum The differences of sample means are t-distributed and distribution standard deviation. C ✓✓test.) Submit Part with distribution mean Search or type URL ..........
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS