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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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. Test the student's claim at the 0.1 significance level.

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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. Test the student's claim at the 0.1 significance level.

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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. Test the student's claim at the 0.1 significance level. b. Is n4yr 2 30 and nzyr Preliminary: a. Is it safe to assume that < 5 % of all students enrolled at a 4-year college in the Unites States and NAyr n2ur < 5 % of all enrolled at a 2-year college in the Unites States? O No O Yes b. Is n4yr 2 30 and n2yr 2 30 ? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: 4yr ? V M2yr Ha: µ4yr ? V 42yr 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. Fail to reject the null hypothesis. 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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. Test the student's claim at the 0.1 significance level. b. Is n4yr 2 30 and nzyr Preliminary: a. Is it safe to assume that < 5 % of all students enrolled at a 4-year college in the Unites States and NAyr n2ur < 5 % of all enrolled at a 2-year college in the Unites States? O No O Yes b. Is n4yr 2 30 and n2yr 2 30 ? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: 4yr ? V M2yr Ha: µ4yr ? V 42yr 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. Fail to reject the null hypothesis. 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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