year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 6,473 with a standard deviation of 601. Of the 35 two-year colleges surveyed, the mean enrollment was 5,553 with a standard deviation of 759. Test the student's claim at the 0.01 significance level. Preliminary: a. 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?
year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 6,473 with a standard deviation of 601. Of the 35 two-year colleges surveyed, the mean enrollment was 5,553 with a standard deviation of 759. Test the student's claim at the 0.01 significance level. Preliminary: a. 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?
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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Please help with B and C
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 6,473 with a standard deviation of 601. Of the 35 two-year colleges surveyed, the
mean enrollment was 5,553 with a standard deviation of 759. Test the student's claim at the 0.01
significance level.
Preliminary:
a. Is it safe to assume that
N4yr < 5 % of all students enrolled at a 4-year college in the Unites States and
nzyr < 5 % of all enrolled at a 2-year college in the Unites States?
Yes
O No
b. Is nayr 2 30 and n2yr 2 30 ?
O No
Yes
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: H4yr
Ha: Hayrl
b. Determine the test statistic. Round to four decimal places.
t
-29.9796
c. Find the p-value. Round to 4 decimals.
p-value = 1
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