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Descriptive analysis revealed that the mean Test 3 score of all 63 students in Dr. Ron’s...

Descriptive analysis revealed that the mean Test 3 score of all 63 students in Dr. Ron’s statistics courses was an 80. Similarly, the standard deviation for all students’ Test 3 scores was found to be 16. Assume the Test 3 scores are approximately normally distributed. Descriptive analysis indicated 89% of students passed Test 3. Suppose a random sample of 50 students is drawn and defined as the proportion of students in the sample who passed Test 3.  

14. What is the mean of the sampling distribution of ?

15. What is the standard deviation of the sampling distribution of ? Round your solution to six decimal places.

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