Question

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

Descriptive analysis revealed that the mean Test 3 score of all 63 students in Dr. Kilman’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. Next, suppose a random sample of 36 students is drawn. Let  be the mean Test 3 score of such a sample.

12. Since the standard deviation of the sampling distribution () is ______ than the population standard deviation (), the sampling distribution curve will be ________ than the population distribution curve.

13. What is the probability that the mean score of a random sample of 36 Test 3 scores is a 75 or higher? That is, calculate . Round your solution to four decimal places.

12)

Since the standard deviation of the sampling distribution () is less than the population standard deviation(), the sampling distribution curve will be narrower than the population distribution curve.

13) P( > 75)

= P(Z > -1.875)

= 1 - P(Z < -1.875)

= 1 - 0.0304

= 0.9696

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