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? Com 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 parts (a) through (d) below. Assume the population is normally distributed. 10.5 9.8 a) Write the claim mathematically and identify Ho and H₂- Which of the following correctly states Ho and Ha? A. Ho: 11.0 Ha: H=11.0 D. Ho: <11.0 Ha: 211.0 b) Use technology to find the P-value. "= 12.8 (Round to three decimal places as needed.) :) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? 8.6 B. Ho: H = 11.0 Ha: μ*11.0 O E. Ho: ≤11.0 Ha: > 11.0 OA. Reject Ho because the P-value is greater than the significance level. OB. Reject Ho because the P-value is less than the significance level. OC. Fail to reject Ho because the P-value is less than the significance level. OD. Fail to reject Ho because the P-value is greater than the significance level. Interpret the decision in the context of the original claim. 7.2 10.1 OC. Ho: > 11.0 Ha: ≤11.0 OF. Ho: 211.0 Ha: <11.0 13.5 8.40

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
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
parts (a) through (d) below. Assume the population is normally distributed.
10.5
9.8
(a) Write the claim mathematically and identify Ho and Ha-
Which of the following correctly states Ho and H₂?
O A. Ho: 11.0
Ha: H=11.0
OD. Ho: 11.0
Ha: 211.0
b) Use technology to find the P-value.
12.8
=
8.6
OB. Ho: H=11.0
Ha:
11.0
(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 E. Ho: H≤ 11.0
Ha: >11.0
A. Reject Ho because the P-value is greater than the significance level.
OB. Reject Ho because the P-value is less than the significance level.
OC. Fail to reject Ho because the P-value is less than the significance level.
OD. 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.
C...
7.2
10.1
OC. Ho: > 11.0
Ha: ≤11.0
OF. Ho: 211.0
Ha: <11.0
13.5
8.40
Transcribed Image Text: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 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 parts (a) through (d) below. Assume the population is normally distributed. 10.5 9.8 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and H₂? O A. Ho: 11.0 Ha: H=11.0 OD. Ho: 11.0 Ha: 211.0 b) Use technology to find the P-value. 12.8 = 8.6 OB. Ho: H=11.0 Ha: 11.0 (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 E. Ho: H≤ 11.0 Ha: >11.0 A. Reject Ho because the P-value is greater than the significance level. OB. Reject Ho because the P-value is less than the significance level. OC. Fail to reject Ho because the P-value is less than the significance level. OD. 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. C... 7.2 10.1 OC. Ho: > 11.0 Ha: ≤11.0 OF. Ho: 211.0 Ha: <11.0 13.5 8.40
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