A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in theUnited States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with astandard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standarddeviation of 4,777. Test the student's claim at the 0.10 significance level.a) The null and alternative hypothesis would be:OHO: HF = HTH₁: HF HTO H₁: HF = HTH₁: PF PTtO Ho: PF = PTH₁: PF PTb) Determine the test statistic. Round to two decimals.c) Find the p-value and round to 4 decimals.p=d) Make a decision.O Reject the null hypothesisO Fail to reject the null hypothesise) Write the conclusion.O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-yearcollege.O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-yearcollege.M

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Answered: A student at a four-year college claims…

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 5,882 with a standard deviation of 745. Of the 35 two-year colleges surveyed, the mean enrollment was 5,200 with a standard deviation of 700. Test the student's claim at the 0.1 significance level. Preliminary: Is it safe to assume that n4yr≤5%n4yr≤5% of all students enrolled at a 4-year college in the Unites States andn2yr≤5%n2yr≤5% of all enrolled at a 2-year college in the Unites States? Yes No Is n4yr≥30n4yr≥30 and n2yr≥30n2yr≥30 ? Yes No Test the claim: Determine the null and alternative hypotheses. H0H0: μ4yrμ4yr μ2yrμ2yr HaHa: μ4yrμ4yr μ2yrμ2yr Determine the test statistic. Round to four decimal places.t=t= Find the pp-value. Round to 4 decimals.pp-value = Make a decision. Reject the null hypothesis. Fail to reject the…
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