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=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.5 7.9 (a) Write the claim mathematically and identify HO and Ha. (b) Use technology to find the P-value. Pa (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. (d) Interpret the decision in the context of the original claim. 11.3 7.8 6.8 11.9 12.7 9.1

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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=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
11.5
7.9
(a) Write the claim mathematically and identify HO and Ha.
(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.
(d) Interpret the decision in the context of the original claim.
11.3
7.8
6.8
11.9
12.7
9.1
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=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.5 7.9 (a) Write the claim mathematically and identify HO and Ha. (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. (d) Interpret the decision in the context of the original claim. 11.3 7.8 6.8 11.9 12.7 9.1
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