Question

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The following data represents the number of minutes customers at a fast food restaurant had to wait in the drive thru line before their order was taken. 0 7 2 13 1 12 496 Calculate the z-score for the following times. a. 12 minutes b. 3 minutes c. 2 minutes d. 6 minutes

Answer 1

The for the given data

sample mean, = 6

T

Sample standard deviation, s= 4.69

a) Z score for 12 = $\frac{x-\bar{x}}{s}$ = $\frac{12-6}{4.69}$ = 1.28

b)Z score for 3 = $\frac{x-\bar{x}}{s}$ =  $\frac{3-6}{4.69}$ = -0.64

c) Z score for 2 = $\frac{x-\bar{x}}{s}$ = = -0.85

2-6 4.69

d)Z score for 6 = $\frac{x-\bar{x}}{s}$ = $\frac{6-6}{4.69}$ = 0