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 fulltime 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 equals 0.01, can you reject the dean's claim? Assume the population is normally distributed. Use technology to find the P-value. P equals _____ (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim.

Explanation / Answer

from above data

test stat t=(X-mean)/std errror =-1.3074

for which at 7 degree of freedom p value =0.2324

as p vlaue is higher we fail to reject null

we do not sufficent evidence that mean is different from 11

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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