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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

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

MATLAB: An Introduction with Applications
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 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:

  • H0:μF=μT
    H1:μF<μT
  • H0:pF=pT
    H1:pF>pT
  • H0:pF=pT
    H1:pF≠pT
  • H0:pF=pT
    H1:pF<pT
  • H0:μF=μT
    H1:μF>μT
  • H0:μF=μT
    H1:μF≠μT



b) Determine the test statistic. Round to two decimals.

t=

c) Find the p-value and round to 4 decimals.

p = 

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