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 5,001 with a standard deviation of 602. Of the 35 two-year colleges surveyed, the mean enrollment was 5,226 with a standard deviation of 571. Test the student's claim at the 0.1 significance level. Preliminary: a. Is it safe to assume that nayr 5% of all students enrolled at a 4-year college in the Unites States and <5% of all enrolled at a 2-year college in the Unites States? n2yr O No Yes b. Is n4yr > 30 and 12yr > 30? Yes O No Test the claim: a. Determine the null and alternative hypotheses. Ho: Hayr? 2yr Ha: Hayr? H2yr b. Determine the test statistic. Round to four decimal places. t= c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null hypothesis. Reject the null hypothesis. e. Write the conclusion. O 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.
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 5,001 with a standard deviation of 602. Of the 35 two-year colleges surveyed, the mean enrollment was 5,226 with a standard deviation of 571. Test the student's claim at the 0.1 significance level. Preliminary: a. Is it safe to assume that nayr 5% of all students enrolled at a 4-year college in the Unites States and <5% of all enrolled at a 2-year college in the Unites States? n2yr O No Yes b. Is n4yr > 30 and 12yr > 30? Yes O No Test the claim: a. Determine the null and alternative hypotheses. Ho: Hayr? 2yr Ha: Hayr? H2yr b. Determine the test statistic. Round to four decimal places. t= c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null hypothesis. Reject the null hypothesis. e. Write the conclusion. O 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.
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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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 5,001 with a standard deviation of 602. Of the 35 two-year colleges surveyed, the
mean enrollment was 5,226 with a standard deviation of 571. Test the student's claim at the 0.1
significance level.
Preliminary:
a. Is it safe to assume that
nayr < 5% of all students enrolled at a 4-year college in the Unites States and
nayr 5% of all enrolled at a 2-year college in the Unites States?
O No
Yes
b. Is n4yr > 30 and 12yr > 30?
Yes
O No
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Hayr? 2yr
Ha: Hayr? H2yr
b. Determine the test statistic. Round to four decimal places.
t=
c. Find the p-value. Round to 4 decimals.
p-value =
d. Make a decision.
O Fail to reject the null hypothesis.
Reject the null hypothesis.
e. Write the conclusion.
O 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.
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