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An article in the San Jose Mercury News stated that students in the California state university system take 5.5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 55 students. The student obtains a sample mean of 5.3 with a sample standard deviation of 1.3. Is there sufficient evidence to support the student's claim at an a=0.05 significance level? Preliminary: a. Is it safe to assume that n<5% of all college students in the local area? ONo O Yes b. Is n 30 ? O Yes O No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. = 1:0H Ha: µ? 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 the mean time to complete an undergraduate degree in the California state university system is less than 5.5 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 5.5 years.

An article in the San Jose Mercury News stated that students in the California state university system take 5.5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 55 students. The student obtains a sample mean of 5.3 with a sample standard deviation of 1.3. Is there sufficient evidence to support the student's claim at an a=0.05 significance level? Preliminary: a. Is it safe to assume that n<5% of all college students in the local area? ONo O Yes b. Is n 30 ? O Yes O No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. = 1:0H Ha: µ? 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 the mean time to complete an undergraduate degree in the California state university system is less than 5.5 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 5.5 years.

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 5.5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 55 students. The student obtains a sample mean of 5.3 with a sample standard deviation of 1.3. Is there sufficient evidence to support the student's claim at an a=0.05 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 Yes ONo Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: 4 = b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. P-value =D 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 the mean time to complete an undergraduate degree in the California state university system is less than 5.5 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 5.5 years.
Transcribed Image Text:An article in the San Jose Mercury News stated that students in the California state university system take 5.5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 55 students. The student obtains a sample mean of 5.3 with a sample standard deviation of 1.3. Is there sufficient evidence to support the student's claim at an a=0.05 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 Yes ONo Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: 4 = b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. P-value =D 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 the mean time to complete an undergraduate degree in the California state university system is less than 5.5 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 5.5 years.
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