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
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
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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Step 1: Write the given information.
VIEWStep 2: Determine the sample mean and standard deviation for the given data.
VIEWStep 3: State the null and alternate hypothesis and identify the claim.
VIEWStep 4: Determine the P-value for the hypothesis test.
VIEWStep 5: State the decision and interpret the decision in context of the original claim.
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