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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. a. State the research hypothesis. b. State the null hypothesis. c. Identify the test statistic and provide the formula.

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. a. State the research hypothesis. b. State the null hypothesis. c. Identify the test statistic and provide the formula.

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
Section10.4: Distributions Of Data
Problem 19PFA
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Sunpose 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. a. State the research hypothesis. b. State the null hypothesis. c. Identify the test statistic and provide the formula. d. Calculate the test statistic as identified in "c" above. e. What is the p value associated with test statistic you calculated in "d"? 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.
Transcribed Image Text:Sunpose 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. a. State the research hypothesis. b. State the null hypothesis. c. Identify the test statistic and provide the formula. d. Calculate the test statistic as identified in "c" above. e. What is the p value associated with test statistic you calculated in "d"? 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.
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