Homework Help is Here – Start Your Trial Now!
Math
Statistics
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: Ho: PF = PT PT H₁: PF t = Ho:μF = HT H₁:μF > HT Ho: PF = PT H₁: PF PT p= Ho:μF = HT H₁: PF PT Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. Ho: PF = HT H1:μF

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: Ho: PF = PT PT H₁: PF t = Ho:μF = HT H₁:μF > HT Ho: PF = PT H₁: PF PT p= Ho:μF = HT H₁: PF PT Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. Ho: PF = HT H1:μF

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Question
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: Ho: PF = PT H1: PF PT t = Ho: μF = HT Hy: MF > με Ho: PF = PT H₁: PF > PT P = O Ho: HF = HT H₁:μF T O Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. OH:#F = UT H: μF < με c) Find the p-value and round to 4 decimals. d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.
Transcribed Image Text: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: Ho: PF = PT H1: PF PT t = Ho: μF = HT Hy: MF > με Ho: PF = PT H₁: PF > PT P = O Ho: HF = HT H₁:μF T O Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. OH:#F = UT H: μF < με c) Find the p-value and round to 4 decimals. d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS