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 5.9 with a sample standard deviation of 0.7. 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? Yes No b. Is n ≥ 30? Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: μ Η μ? ? 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. Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. 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. 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.

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 5.9 with a sample standard deviation of 0.7. 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? Yes No b. Is n ≥ 30? Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: μ Η μ? ? 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. Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. 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. 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.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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