d. Calculate the test statistic as identified in "c" above. e. What is the p value associated with test statistic you calculated in ""? f. Setting alpha of .05, what do you conclude? Are you able to reject the null hypothesis? Why or why not? Explain your answer in as much detail as possible.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Problem Statement:**

Suppose that the average gregariousness score for the entire U.S. population is 70. The head research psychologist at Somerville University is interested in determining whether or not the university psychology students are statistically significantly more gregarious than the overall population. A random sample of 200 students from Somerville University shows a mean of 75 on the gregarious test with a sample standard deviation of 20.

**Questions:**

d. Calculate the test statistic as identified in "c" above.

e. What is the p value associated with the test statistic you calculated in "d"?

f. Setting alpha of 0.05, what do you conclude? Are you able to reject the null hypothesis? Why or why not? Explain your answer in as much detail as possible.
Transcribed Image Text:**Problem Statement:** Suppose that the average gregariousness score for the entire U.S. population is 70. The head research psychologist at Somerville University is interested in determining whether or not the university psychology students are statistically significantly more gregarious than the overall population. A random sample of 200 students from Somerville University shows a mean of 75 on the gregarious test with a sample standard deviation of 20. **Questions:** d. Calculate the test statistic as identified in "c" above. e. What is the p value associated with the test statistic you calculated in "d"? f. Setting alpha of 0.05, what do you conclude? Are you able to reject the null hypothesis? Why or why not? Explain your answer in as much detail as possible.
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