A national newspaper 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 374 four-year colleges surveyed, the mean enrollment was 5,286 with a standard deviation of 542. Of the 121 two-year colleges surveyed, the mean enrollment was 4,858 with a standard deviation of 584. Test the student's claim at the 0.1 significance level.Preliminary:Is n4yr≥30 and n2yr≥30 ?YesNo Test the claim:Determine the null and alternative hypotheses. H0H0: μ4yr μ2yrHaHa: μ4yr μ2yrDetermine the test statistic. Round to four decimal places.z=z=Find the pp-value. Round to 4 decimals.pp-value = Make a decision.Fail to reject the null hypothesis.Reject the null hypothesis.Write the conclusion.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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Answered: A national newspaper claims that mean…

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 national newspaper 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 374 four-year colleges surveyed, the mean enrollment was 5,286 with a standard deviation of 542. Of the 121 two-year colleges surveyed, the mean enrollment was 4,858 with a standard deviation of 584. Test the student's claim at the 0.1 significance level.

Preliminary:

Is n4yr≥30 and n2yr≥30 ?

Test the claim:

Determine the null and alternative hypotheses.

H0H0: μ4yr μ2yr
HaHa: μ4yr μ2yr
Determine the test statistic. Round to four decimal places.
z=z=
Find the pp-value. Round to 4 decimals.
pp-value =
Make a decision.
- Fail to reject the null hypothesis.
- Reject the null hypothesis.
Write the conclusion.
- 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.