The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a =0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 D (a) Write the claim mathematically and identify H, and Ha- Which of the following correctly states H, and H,? OC. Ho: p=11.0 H: u#11.0 O B. Ho: us11.0 Ha: u>11.0 O E. Ho: µ>11.0 Haius11.0 OA. Ho:u<11.0 Hiµ211.0 O D. Ho: µ#11.0 H:p=11.0 OF. Ho: µ211.0 Hai u<11.0 (b) Use technology to find the P-value. P=O (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? OA. Fail to reject Ho because the P-value is less than the significance level. O B. Reject Ho because the P-value is less than the significance level. c. Reject Ho because the P-value is greater than the significance level. D. Fail to reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 10% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. B. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. D. At the 10% level of significance, there is not sufficient evidence to reject the claim that the mean number of OC. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 11.0. classroom hours per week for full-time faculty is less than 11.0.
The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a =0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 D (a) Write the claim mathematically and identify H, and Ha- Which of the following correctly states H, and H,? OC. Ho: p=11.0 H: u#11.0 O B. Ho: us11.0 Ha: u>11.0 O E. Ho: µ>11.0 Haius11.0 OA. Ho:u<11.0 Hiµ211.0 O D. Ho: µ#11.0 H:p=11.0 OF. Ho: µ211.0 Hai u<11.0 (b) Use technology to find the P-value. P=O (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? OA. Fail to reject Ho because the P-value is less than the significance level. O B. Reject Ho because the P-value is less than the significance level. c. Reject Ho because the P-value is greater than the significance level. D. Fail to reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 10% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. B. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 11.0. D. At the 10% level of significance, there is not sufficient evidence to reject the claim that the mean number of OC. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 11.0. classroom hours per week for full-time faculty is less than 11.0.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
Related questions
Topic Video
Question
Transcribed Image Text:The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for
eight full-time faculty for one week is shown in the table below. At a = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
11.4
7.1
13.2
7.6
5.9
11.9
12.1
8.4 D
(a) Write the claim mathematically and identify Ho and Ha.
Which of the following correctly states H, and Ha?
O A. Ho: µ<11.0
Hai µ211.0
ОВ. Но: р$11.0
Ha: u> 11.0
OC. Ho: µ= 11.0
Hai u#11.0
O D. Ho: µ#11.0
Ha: µ= 11.0
ОЕ. Но: > 11.0
Ha: us11.0
OF Hρ: μΣ 11.0|
Hai µ<11.0
(b) Use technology to find the P-value.
P =
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Which of the following is correct?
O A. Fail to reject H, because the P-value is less than the significance level.
B. Reject H, because the P-value is less than the significance level.
O C. Reject H, because the P-value is greater than the significance level.
D. Fail to reject Ho because the P-value is greater than the significance level.
(d) Interpret the decision in the context of the original claim.
O A. At the 10% level of significance, there is not sufficient evidence to reject the claim that the mean number of
classroom hours per week for full-time faculty is 11.0.
O B. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of
classroom hours per week for full-time faculty is 11.0.
O C. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of
classroom hours per week for full-time faculty is greater than 11.0.
D. At the 10% level of significance, there is not sufficient evidence to reject the claim that the mean number of
classroom hours per week for full-time faculty is less than 11.0.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill