The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different....

The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56

What can be concluded at the the αα = 0.05 level of significance level of significance?

1. For this study, we should use
   (t-test for a population mean,  z-test for a population proportion)
   


2. The null and alternative hypotheses would be:

 H0:
(symbol) (symbol) ____

 H1:
(symbol) (symbol) ____

1. The test statistic
   (?,t,z)
   = ____  (please show your answer to 3 decimal places.)


2. The p-value =  (Please show your answer to 4 decimal places.)


3. The p-value is (symbol)  αα


4. Based on this, we should  (accept, reject, fail to reject) the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest the populaton mean issignificantly different from 82 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 82.
   
   
   • The data suggest the population mean is notsignificantly different from 82 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 82.
   
   
   • The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is notsignificantly different from 82 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 82.