13 821 Exam grades: Scores on a statistics final in a large class were normally

Question

13 821 Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 73 and a standard deviation of 7. Use the TI-84 caleulator to answer the following, Round the answers to two decimals. Part 1 Find the 43rd percentile of the seores. The 43rd percentile of the scores is 2177 Part 2 Find the 73rd percentile of the scores. The 73rd percentile of the scores is 77.29 Part 3 The instructor wants to give an A to the students whose scores were in the top 7% of the class. What is the minimum score needed to get an A? The minimum score needed to get an A is 83 33 Part 4 out of 4 Between what two values are the middle 48% of the scores? (Enter the smaller number in the first box.) The middle 48% are between and

Explanation / Answer

part 4) for middle 48% lies between 26 and 74 percentile for which corresponding z score =-/+0.6433

hence middle 48% are between mean -/+ z*std deviaiton =68.50 and 77.50

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