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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 5,864 with a standard deviation of 580. Of the 35 two- year colleges surveyed, the mean enrollment was 5,088 with a standard deviation of 748. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that n4yr 5% of all students enrolled at a 4-year college in the Unites States and n2yr 5% of all enrolled at a 2-year college in the Unites States? No Yes b. Is n4yr ≥ 30 and n2yr 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. ?μ2yr Ho μAyr Ha Mayr ? ◇ μ2yr b. Determine the test statistic. Round to four decimal places. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is sufficient evidence to support the claim that enrollement is higher 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 5,864 with a standard deviation of 580. Of the 35 two- year colleges surveyed, the mean enrollment was 5,088 with a standard deviation of 748. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that n4yr 5% of all students enrolled at a 4-year college in the Unites States and n2yr 5% of all enrolled at a 2-year college in the Unites States? No Yes b. Is n4yr ≥ 30 and n2yr 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. ?μ2yr Ho μAyr Ha Mayr ? ◇ μ2yr b. Determine the test statistic. Round to four decimal places. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is sufficient evidence to support the claim that enrollement is higher 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 5,864 with a standard deviation of 580. Of the 35 two- year colleges surveyed, the mean enrollment was 5,088 with a standard deviation of 748. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that n4yr 5% of all students enrolled at a 4-year college in the Unites States and n2yr 5% of all enrolled at a 2-year college in the Unites States? No Yes b. Is n4yr ≥ 30 and n2yr 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. ?μ2yr Ho μAyr Ha Mayr ? ◇ μ2yr b. Determine the test statistic. Round to four decimal places. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is sufficient evidence to support the claim that enrollement is higher 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 5,864 with a standard deviation of 580. Of the 35 two- year colleges surveyed, the mean enrollment was 5,088 with a standard deviation of 748. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that n4yr 5% of all students enrolled at a 4-year college in the Unites States and n2yr 5% of all enrolled at a 2-year college in the Unites States? No Yes b. Is n4yr ≥ 30 and n2yr 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. ?μ2yr Ho μAyr Ha Mayr ? ◇ μ2yr b. Determine the test statistic. Round to four decimal places. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.
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