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
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70f429ec-56f7-4b96-8a9a-8fbac7039dcc%2Fd7d6c123-a1eb-4549-b8f8-071ba93a7f6c%2Fnk7btzk_processed.jpeg&w=3840&q=75)
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 5.9 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.
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