According to media research, the typical American listened to 195 hours of music in the

Chapter 0, Problem 27

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QUESTION:

According to media research, the typical American listened to 195 hours of music in the last year. This is down from 290 hours four years earlier. Dick Trythall is a big country and western music fan. He listens to music while working around the house, reading, and riding in his truck. Assume the number of hours spent listening to music follows a normal probability distribution with a standard deviation of 8.5 hours. a. If Dick is in the top 1 percent in terms of listening time, how many hours does he listen per year? b. Assume that the distribution of times four years earlier also follows the normal probability distribution with a standard deviation of 8.5 hours. How many hours did the 1 percent who listen to the least music actually listen?

Questions & Answers

QUESTION:

ANSWER:

Step 1 of 4

Given:

(a) The cut off value of the top has the property that of the data values lie below the cutoff value.

Let us determine the z-score that corresponds with a probability of or in the normal probability table of the appendix. We note that the closest probability is which lies in the row and in the column of the normal probability table and thus the corresponding z-score is then .