The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? No Yes b. Is n ≥ 30 ? Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: μ = Ha: μ ? ✨ b. Determine the test statistic. Round to two decimals. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. ☐ Fail to reject the null hypothesis. Reject the null hypothesis.

The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? No Yes b. Is n ≥ 30 ? Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: μ = Ha: μ ? ✨ b. Determine the test statistic. Round to two decimals. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. ☐ Fail to reject the null hypothesis. Reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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