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▾ 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: HF-HS sv 0 Ha:μF-us (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 1 Question Help: D Post to forum Submit Part X with distribution mean 0

▾ 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: HF-HS sv 0 Ha:μF-us (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 1 Question Help: D Post to forum Submit Part X with distribution mean 0

MATLAB: An Introduction with Applications
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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#3 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: ur – μs εννο Ha: Fus (So we will be performing a right-tailed The differences of sample means are t-distributed and distribution standard deviation 1 Question Help: D Post to forum Submit Part Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. $ 4 R test.) % 5 T X G Search or type URL ✔with distribution mean o 6 > & 7 ▼ LI * 00 8 9
Transcribed Image Text:#3 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: ur – μs εννο Ha: Fus (So we will be performing a right-tailed The differences of sample means are t-distributed and distribution standard deviation 1 Question Help: D Post to forum Submit Part Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. $ 4 R test.) % 5 T X G Search or type URL ✔with distribution mean o 6 > & 7 ▼ LI * 00 8 9
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