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 claim.

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Question 1177830: 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. At α=0.01, can you reject the dean's claim?
Classroom hours:
11.8

8.6

12.6

7.9

6.4

10.4

13.6

9.1
Parameter: ___________________________ Statistic: ________________________________
Ho: _______________________________ Significance Level: ___________________
Ha: ______________________________________________

Plan:
Name of procedure: _________________________________
Check conditions:
Random: ___________, n>30:________ or Assume normal: _____

Mean of model: ___________________
Standard error: ________________________
d.f.:__________________________

Labeled picture of the model:
Direction of test:___________________

Test statistic formula:


Calculation of test statistic and mark in model:



Decision in context:

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
We are using the T distribution because 
a) we do not know the population standard deviation (very common in most cases)
b) n < 30

Ho:  p = 11
Ha:  p < 11
Sample:  n = 8, mean = 10.05   and s = 2.4853858567922
α=0.01  critical value(df = 7) = 3.5
t =  -.95 /(2.4853858567922/√8) = -1.0811
 |-1.0811| < 3.5
Fail to reject Ho.
Wish You the Best in your Studies.