SOLUTION: 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 c
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Question 1157885: 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 alphaequals0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
11.7 8.8 13.1 7.2 5.6 9.2 12.3 9.9
You can put this solution on YOUR website! Assume also that s for the sample can be used for sigma of the distribution.
Can get 1-var stats for this
mean is 9.725
s=2.58
can put directly into calculator and use 1 sample t
This gives a test statistic of t=-1.40 a p-value of 0.20 and fail to reject Ho at the 0.10 level
or can do by hand'
t=(x bar-mean)/s/sqrt(n)
=-(1.275)*sqrt(8)/2.58
=-1.40
While this is -.10 away from the left tail, this is a two way test, so both tails have to be counted in the p-value.
