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 5,782 with a standard deviation of 595. Of the 35 two-year colleges surveyed, the mean enrollment was 4,401 with a standard deviation of 636. 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 n2yr <5% of all enrolled at a 2-year college in the Unites States? ONo O Yes b. Is nayr 2 30 and n2yr 30 ? O No O Yes Test the claim: a. Determine the null and alternative hypotheses. ? V2yr Ho: HAyr Ha: Hayr ? V 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. O 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. O 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 5,782 with a standard deviation of 595. Of the 35 two-year colleges surveyed, the mean enrollment was 4,401 with a standard deviation of 636. 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 n2yr <5% of all enrolled at a 2-year college in the Unites States? ONo O Yes b. Is nayr 2 30 and n2yr 30 ? O No O Yes Test the claim: a. Determine the null and alternative hypotheses. ? V2yr Ho: HAyr Ha: Hayr ? V 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. O 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. O 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 5,782 with a standard deviation of 595. Of the 35 two-year colleges surveyed, the
mean enrollment was 4,401 with a standard deviation of 636. Test the student's claim at the 0.1
significance level.
Preliminary:
a. Is it safe to assume that
nAvr 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?
O No
O Yes
b. Is nAyr 2 30 and n2yr 2 30?
O No
O Yes
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Hayr? V 2yr
Ha: HAyrl
2yr
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.
O 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.
O 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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