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An article in the San Jose Mercury News stated that students in the California state university system take 6 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 66 students. The student obtains a sample mean of 5.4 with a sample standard deviation of 1.9. Is there sufficient evidence to support the student's claim at an a = 0.1 significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? O No Yes b. Is n > 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: P = Ηα: μην a: 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 Reject the null hypothesis.

An article in the San Jose Mercury News stated that students in the California state university system take 6 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 66 students. The student obtains a sample mean of 5.4 with a sample standard deviation of 1.9. Is there sufficient evidence to support the student's claim at an a = 0.1 significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? O No Yes b. Is n > 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: P = Ηα: μην a: 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 Reject the null hypothesis.

MATLAB: An Introduction with Applications
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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An article in the San Jose Mercury News stated that students in the California state university system take 6 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 66 students. The student obtains a sample mean of 5.4 with a sample standard deviation of 1.9. Is there sufficient evidence to support the student's claim at an a = 0.1 significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? O No OYes b. Is n > 30? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. = Ho: Ηα: μ?ν 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 Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. O There is sufficient evidence to support the claim that the mean time to complete an undergraduate degree in the California state university system is less than 6 years. O There is not sufficient evidence to support the claim that that the mean time to complete an undergraduate degree in the California state university system is less than 6 years.
Transcribed Image Text:An article in the San Jose Mercury News stated that students in the California state university system take 6 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 66 students. The student obtains a sample mean of 5.4 with a sample standard deviation of 1.9. Is there sufficient evidence to support the student's claim at an a = 0.1 significance level? Preliminary: a. Is it safe to assume that n < 5% of all college students in the local area? O No OYes b. Is n > 30? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. = Ho: Ηα: μ?ν 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 Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. O There is sufficient evidence to support the claim that the mean time to complete an undergraduate degree in the California state university system is less than 6 years. O There is not sufficient evidence to support the claim that that the mean time to complete an undergraduate degree in the California state university system is less than 6 years.
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