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, themean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, themean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10significance level.a) The null and alternative hypothesis would be:O Ho: µp = PTH1:µp < PTO Ho: PFPTH1:PF < PTO Ho:µF = HTH1:µp > PTO Ho: HFHTH1:µF + HTO Ho: PFPTH1:pF > PT%3DO Ho:PF = PTH1:PF + PTb) Determine the test statistic. Round to two decimals.t =c) Find the p-value and round to 4 decimals.d) Make a decision.O Fail to reject the null hypothesisO 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 collegethan a two-year college.O There is sufficient evidence to support the claim that enrollement is high at a four-year college thana two-year college.

Solution To find the test statistic we will use Excel

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 hospital president claims that the average Salary of registered nurses at her hospital is more than $57,000. You test this claim by surveying 37 registered nurses at this hospital and find they have a mean salary of $57,425. Assume the population standard deviation is $1750 at the 0.10 level of significance is there enough evidence to support the claim of the hospital president?
Choose the correct option and explain.
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