The dean of a university estimates that the mean number of classroom hours per w

Question

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 alpha = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 10.2 8.6 11.4 6.3 6.8 11.5 14.6 8.4 (b) Use technology to find the P-value. (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis.

Explanation / Answer

from above test stat t=(X-mean)/std error =(9.725-11)/0.975 =-1.307

for which at 7 degree of freedom p value =0.232

X 10.200 8.600 11.400 6.300 6.800 11.500 14.600 8.400 mean(X) 9.725 std deviation(S) 2.758 std error =S/(n)1/2 0.975

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