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 5,882 with a standard deviation of 745. Of the 35 two-year colleges surveyed, the mean enrollment was 5,200 with a standard deviation of 700. Test the student's claim at the 0.1 significance level. Preliminary: Is it safe to assume that n4yr≤5%n4yr≤5% of all students enrolled at a 4-year college in the Unites States and n2yr≤5%n2yr≤5% of all enrolled at a 2-year college in the Unites States? Yes No Is n4yr≥30n4yr≥30 and n2yr≥30n2yr≥30 ? Yes No Test the claim: Determine the null and alternative hypotheses. H0H0: μ4yrμ4yr μ2yrμ2yr HaHa: μ4yrμ4yr μ2yrμ2yr Determine the test statistic. Round to four decimal places. t=t= Find the pp-value. Round to 4 decimals. pp-value = Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis. Write the conclusion. There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is 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 5,882 with a standard deviation of 745. Of the 35 two-year colleges surveyed, the mean enrollment was 5,200 with a standard deviation of 700. Test the student's claim at the 0.1 significance level. Preliminary: Is it safe to assume that n4yr≤5%n4yr≤5% of all students enrolled at a 4-year college in the Unites States and n2yr≤5%n2yr≤5% of all enrolled at a 2-year college in the Unites States? Yes No Is n4yr≥30n4yr≥30 and n2yr≥30n2yr≥30 ? Yes No Test the claim: Determine the null and alternative hypotheses. H0H0: μ4yrμ4yr μ2yrμ2yr HaHa: μ4yrμ4yr μ2yrμ2yr Determine the test statistic. Round to four decimal places. t=t= Find the pp-value. Round to 4 decimals. pp-value = Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis. Write the conclusion. There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is 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
Related questions
Question
A student at a four-year college claims that
Preliminary:
- Is it safe to assume that
n4yr≤5%n4yr≤5% of all students enrolled at a 4-year college in the Unites States and
n2yr≤5%n2yr≤5% of all enrolled at a 2-year college in the Unites States?
- Yes
- No
- Is n4yr≥30n4yr≥30 and n2yr≥30n2yr≥30 ?
- Yes
- No
Test the claim:
- Determine the null and alternative hypotheses.
H0H0: μ4yrμ4yr μ2yrμ2yr
HaHa: μ4yrμ4yr μ2yrμ2yr - Determine the test statistic. Round to four decimal places.
t=t= - Find the pp-value. Round to 4 decimals.
pp-value = - Make a decision.
- Reject the null hypothesis.
- Fail to reject the null hypothesis.
- Write the conclusion.
- There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.
- There is sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college.
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