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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.  

16. According to the ________ the sampling distribution of  will be ________ since ___________.

17. What is the probability that in a random sample of 50 students, between 60% and 85% of the students passed Test 3? That is, calculate . Round your solution to four decimal places.

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