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:PF PTH1:PF PrO Ho: HF = HTO Ho: HF = TH1:µF < HTO Ho:HF HTH:PF> PrHo PF PTH:pF PrO Ho: PF = PTH: PF> Prb) Determine the test statistic. Round to two decimals.c) Find the p-value and round to 4 decimals.d) Make a decision.O Fail to reject the null hypothesisOReject the null hypothesise) Write the conclusion.O There is sufficient evidence to support the claim that enrollement is high at a four-year college thana two-year college.O There is not sufficient evidence to support the claim that enrollement is high at a four-year collegethan a two-year college.

Answered: Image /qna-images/answer/df709160-639b-46f1-99fd-f476ef60b2c7.jpg

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 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho:PF PT H1:pp + Pr O Ho:HF HT O Ho:HF T H:HF< HT Ho:HF HT H1:pr > PT O Ho: PF PT H:PF PT O Ho: PF Pr H1:pr Pr b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. d) Make a decision. OFail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.

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 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: O Ho:PF PT H1:pp + Pr O Ho:HF HT O Ho:HF T H:HF< HT Ho:HF HT H1:pr > PT O Ho: PF PT H:PF PT O Ho: PF Pr H1:pr Pr b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. d) Make a decision. OFail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

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 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the
mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10
significance level.
a) The null and alternative hypothesis would be:
O Ho:PF PT
H1:PF Pr
O Ho: HF = HT
O Ho: HF = T
H1:µF < HT
O Ho:HF HT
H:PF> Pr
Ho PF PT
H:pF Pr
O Ho: PF = PT
H: PF> Pr
b) Determine the test statistic. Round to two decimals.
c) Find the p-value and round to 4 decimals.
d) Make a decision.
O Fail to reject the null hypothesis
OReject the null hypothesis
e) Write the conclusion.
O There is sufficient evidence to support the claim that enrollement is high at a four-year college than
a two-year college.
O There is not sufficient evidence to support the claim that enrollement is high at a four-year college
than a two-year college.

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