a 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 ter through (d) below. Assume the population is normally distributed. 10.2 8.4 12.6 9.5 14.9 9.3 6.6 5.4 (a) Write the claim mathematically and identify Họ and Ha- Which of the following correctly states Ho and Ha? O A. Ho: H>11.0 O C. Ho : μ 11.0 CHa: u#11.0 O B. Ho: H<11.0 Ha 211.0 O E. Ho: us11.0 Ha: u>11.0 Ha: uS11.0 OF. Ho: H211.0 Hai H<11.0 O D. Ho: µ#11.0 Hai H =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. Reject Ho because the P-value is greater than the significance level. B. Fail to reject Ho because the P-value is less than the significance level. O C. Fail to reject Ho because the P-value is greater than the significance level. O D. Reject H, because the P-value is less than the significance level. (d) Interpret the decision in the context of the original claim. 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 less than 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. OC. At the 10% level of significance, there is not sufficient evidence to reject the O D. 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. claim that the mean number of classroom hours per week for full-time faculty is 11.0.

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2/2021
a 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 elg
full-time faculty for one week is shown in the table below. At a= 0 10. can vou reject the dean's claim? Complete parts (a
through (d) below. Assume the population is normally distributed.
Week 8 Assignment Part Il-Joseph Grovogui
10.2
8.4
12.6
14.9
9.3
6.6
5.4
9.5
(a) Write the claim mathematically and identify Họ and Ha.
Which of the following correctly states Ho and H?
O A. Ho: H>11.0
O B. Ho: H<11.0
OC. Ho: H=11.0
Ha: HS11.0
Ha: 211.0
Ha: u#11.0
O D. Ho: H#11.0
OE. Ho: us11.0
O F. Ho: H211.0
Hai H= 11.0
Ha: u>11.0
Hai H<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. Reject Ho because the P-value is greater than the significance level.
O B. Fail to reject Ho because the P-value is less than the significance level.
O C. Fail to reject Ho because the P-value is greater than the significance level.
O D. Reject H, because the P-value is less than the significance level.
l is ls then
(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
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.
hours per week for full-time faculty is
less than 11.0.
O C. At the 10% level of significance, there
is not sufficient evidence to reject the
O D. 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.
claim that the mean number of classroom
hours per week for full-time faculty is
11.0.
Transcribed Image Text:2/2021 a 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 elg full-time faculty for one week is shown in the table below. At a= 0 10. can vou reject the dean's claim? Complete parts (a through (d) below. Assume the population is normally distributed. Week 8 Assignment Part Il-Joseph Grovogui 10.2 8.4 12.6 14.9 9.3 6.6 5.4 9.5 (a) Write the claim mathematically and identify Họ and Ha. Which of the following correctly states Ho and H? O A. Ho: H>11.0 O B. Ho: H<11.0 OC. Ho: H=11.0 Ha: HS11.0 Ha: 211.0 Ha: u#11.0 O D. Ho: H#11.0 OE. Ho: us11.0 O F. Ho: H211.0 Hai H= 11.0 Ha: u>11.0 Hai H<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. Reject Ho because the P-value is greater than the significance level. O B. Fail to reject Ho because the P-value is less than the significance level. O C. Fail to reject Ho because the P-value is greater than the significance level. O D. Reject H, because the P-value is less than the significance level. l is ls then (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 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. hours per week for full-time faculty is less than 11.0. O C. At the 10% level of significance, there is not sufficient evidence to reject the O D. 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. claim that the mean number of classroom hours per week for full-time faculty is 11.0.
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a)Null and alternate hypothesis:

C.

H0:μ=11.0Ha:μ11.0

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