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A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho: PF = HT H₁: HP PT Ho: PF PT H₁: PF PT = HT O Ho: PF H₁:μp PT O Ho: PF = PT H₁: PF > PT b) Determine the test statistic. Round to two decimals. t c) Find the p-value and round to 4 decimals. = P d) Make a decision. O Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. -

A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho: PF = HT H₁: HP PT Ho: PF PT H₁: PF PT = HT O Ho: PF H₁:μp PT O Ho: PF = PT H₁: PF > PT b) Determine the test statistic. Round to two decimals. t c) Find the p-value and round to 4 decimals. = P d) Make a decision. O Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. -

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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A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho:μF = PT H₁: HP HT O Ho: PF = PT H₁: PF PT Ho: PF = HT H₁:μp <HT Ho: PF = PT H₁: PF PT HT Ho:μF H: με > μη Ho: PF = PT H₁: PF > PT b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. p= d) Make a decision. O Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.
Transcribed Image Text:A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho:μF = PT H₁: HP HT O Ho: PF = PT H₁: PF PT Ho: PF = HT H₁:μp <HT Ho: PF = PT H₁: PF PT HT Ho:μF H: με > μη Ho: PF = PT H₁: PF > PT b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. p= d) Make a decision. O Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.
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