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 11.011.0. 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 alphaequals=0.100.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.411.4 7.27.2 12.512.5 8.98.9 4.74.7 11.211.2 13.913.9 9.89.8 (a) Write the claim mathematically and identify Upper H 0H0 and Upper H Subscript aHa. Which of the following correctly states Upper H 0H0 and Upper H Subscript aHa?

Explanation / Answer

a)

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   11  
Ha:    u   =/   11   [ANSWER]

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I am attaching the other information as parts b to d are not written:  

          
As we can see, this is a    two   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    7          
tcrit =    +/-   1.894578605      
              
Getting the test statistic, as              
              
X = sample mean =    9.95          
uo = hypothesized mean =    11          
n = sample size =    8          
s = standard deviation =    2.976575213          
              
Thus, t = (X - uo) * sqrt(n) / s =    -0.99774011          
              
Also, the p value is              
              
p =    0.351637817          
              
As P > 0.10, we   FAIL TO REJECT THE NULL HYPOTHESIS.          

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