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 6,288 with a standard deviation of 585. Of the 35 two-year colleges surveyed, the mean enrollment was 5,175 with a standard deviation of 786. Test the student's claim at the 0.1 significance level.Preliminary:Is it safe to assume thatn4yr≤5% of all students enrolled at a 4-year college in the Unites States andn2yr≤5% of all enrolled at a 2-year college in the Unites States?YesNoIs n4yr≥30 and n2yr≥30 ?NoYes Test the claim:Determine the null and alternative hypotheses. H0: μ4yr μ2yr Ha: μ4yr μ2yr Determine the test statistic. Round to four decimal places.t=Find the pp-value. Round to 4 decimals.p-value = Make a decision.Reject the null hypothesis.Fail to reject the null hypothesis.Write the conclusion.There is sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.

Given Data : For Sample 1 x̄1 = 6288.0 s1 = 585.0 n1 = 35 For Sample 2…

Answered: 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 6,288 with a standard deviation of 585. Of the 35 two-year colleges surveyed, the mean enrollment was 5,175 with a standard deviation of 786. Test the student's claim at the 0.1 significance level.

Preliminary:

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?
- Yes
- No
Is n4yr≥30 and n2yr≥30 ?
- No
- Yes

Test the claim:

Determine the null and alternative hypotheses.

H0: μ4yr μ2yr
Ha: μ4yr μ2yr
Determine the test statistic. Round to four decimal places.
t=
Find the pp-value. Round to 4 decimals.
p-value =
Make a decision.
- Reject the null hypothesis.
- Fail to reject the null hypothesis.
Write the conclusion.
- There is sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.
- There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.