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. 12.1 8.5 13.4 6.4 (a) vvrite the claim mathematically and laenury Ho and Ha Which of the following correctly states Ho and H₂? OA. Ho: 211.0 Ha: μ< 11.0 O D. Hou>11.0 Ha: μ≤11.0 OB. Ho: μ<11.0 Ha με 11.0 O E. Ho: μ≤ 11.0 Ha 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? 5.8 10.4 12.4 OC. Ho: μ = 11.0 Ha: μ#11.0 OF. Hou 11.0 Ha = 11.0 OA. Fail to reject Ho because the P-value is less than the significance level. B. Reject H because the P-value is greater than the significance level. 8.6 ✓

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
9
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.
12.1
8.5
13.4
6.4
(a) vvrite the claim mathematically and laenury Ho and Ha
Which of the following correctly states Ho and H₂?
OA. Ho: ²11.0
Ha: μ< 11.0
O D. Ho μ>11.0
Ha: μ≤11.0
OB. Ho: μ< 11.0
Hg με 11.0
O E. Ho μ≤ 11.0
Ha >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?
5.8
10.4
12.4
OC. Ho H=11.0
Ha μ11.0
OF. Ho 11.0
Ha μ=11.0
A. Fail to reject Ho because the P-value is less than the significance level.
B. Reject Ho because the P-value is greater than the significance level.
8.60
J
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. 12.1 8.5 13.4 6.4 (a) vvrite the claim mathematically and laenury Ho and Ha Which of the following correctly states Ho and H₂? OA. Ho: ²11.0 Ha: μ< 11.0 O D. Ho μ>11.0 Ha: μ≤11.0 OB. Ho: μ< 11.0 Hg με 11.0 O E. Ho μ≤ 11.0 Ha >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? 5.8 10.4 12.4 OC. Ho H=11.0 Ha μ11.0 OF. Ho 11.0 Ha μ=11.0 A. Fail to reject Ho because the P-value is less than the significance level. B. Reject Ho because the P-value is greater than the significance level. 8.60 J
Which of the following is correct?
O A. Fail to reject Ho because the P-value is less than the significance level.
OB. Reject Ho because the P-value is greater than the significance level.
OC. Reject Ho because the P-value is less than the significance level.
O 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.
OA. 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.
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 11.0
OB. 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.
OD. 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.
Transcribed Image Text:Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. OB. Reject Ho because the P-value is greater than the significance level. OC. Reject Ho because the P-value is less than the significance level. O 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. OA. 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. 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 11.0 OB. 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. OD. 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.
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