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The accompanying data represent the pulse rates (beats per minute) of nine stude

ID: 3236323 • Letter: T

Question

The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine students as a population. Compute the z-scores for all the students. Compute the mean and standard deviation of these z-scores.

Student

Pulse

Student 1

77

Student 2

60

Student 3

60

Student 4

80

Student 5

73

Student 6

80

Student 7

80

Student 8

68

Student 9

73

Compute the z-scores for all the students.

(Round to the nearest hundredth as needed.)

Compute the mean of these z-scores.

(Round to the nearest tenth as needed.)

Compute the standard deviation of these z-scores.

(Round to the nearest tenth as needed.)

Explanation / Answer

From the given data we have

using central limit theorem, we have

z = (x - mu)/sigma

Hence using this formula we can compute the z-score as follows

Mean of z-scores = 0

std. dev. of z-scores = 1

Mean 73.875 std. dev. 6.623
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