**Title: Analyzing Claims on College Enrollments**---**Introduction:**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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. We test the student's claim at the 0.1 significance level.---**Preliminary:**a. **Assumptions:**Is it safe to assume that:- $ n_{4yr} \leq 5\% $ of all students enrolled at a 4-year college in the United States and- $ n_{2yr} \leq 5\% $ of all enrolled at a 2-year college in the United States?Choices:- No- Yesb. **Sample Size:**Is $ n_{4yr} \geq 30 $ and $ n_{2yr} \geq 30 $?Choices:- No- Yes---**Test the Claim:**a. **Hypotheses:**Determine the null and alternative hypotheses.- $ H_0: \mu_{4yr} \leq \mu_{2yr} $- $ H_a: \mu_{4yr} > \mu_{2yr} $b. **Test Statistic:**Determine the test statistic. **Round to four decimal places.**- $ t = \underline{\hspace{2cm}} $c. **p-Value:**Find the p-value. **Round to 4 decimals.**- p-value = $\underline{\hspace{2cm}}$d. **Decision:**Make a decision:- Fail to reject the null hypothesis.- Reject the null hypothesis.e. **Conclusion:**Write the conclusion:- There is not sufficient evidence to support the claim that enrollment is higher at a four-year college than a two-year college.- There is sufficient evidence to support the claim that enrollment is higher at a four-year college than a two-year college.---**Conclusion:**This guide outlines the process of evaluating a claim about college enrollments using hypothesis testing. Follow the steps above to assess the validity of claims using

Preliminary: a. Yes, it is safe to assume that n4yr≤5% of all students enrolled at a 4-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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. Test the student's claim at the 0.1 significance level.

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 6,146 with a standard deviation of 510. Of the 35 two-year colleges surveyed, the mean enrollment was 5,086 with a standard deviation of 598. Test the student's claim at the 0.1 significance level.

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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