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 1177423: 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 Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Parameter is mean number of classroom hours per week per full time faculty member.
Ho: mu=11.0
Ha: it doesn't=11.0
alpha=0.01 p{reject Ho|Ho true}
2-way 1 sample t-test
assume normality
test statistic is a t 0.995, df=7
critical value |t|>3.499
t=(x bar-mean)/s/sqrt(n)
=(10.05-11)/2.49/sqrt(8)
=-0.95*sqrt(8)/2.49
=-1.08
fail to reject Ho.
Insufficient evidence to conclude that the mean is different from 11.0 hours.
p=0.32