As the new manager of a small convenience store you want to

As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly sample 20 purchases from yesterday\'s records. The amounts of those purchases (in dollars) are shown to the right. Complete parts a) through c). Standardize the minimum and maximum purchase using a mean of 45.8 and a standard deviation of 22.05. The z-score for the minimum purchase is and the z-score for the maximum purchase is (Round to three decimal places as needed.)

Solution

a)

As

z = (x - u)/sigma

Then for the minimum, 3.86:

z = (3.86 - 45.8)/22.05 = -1.902040816

For the maximum, 91.91:

z = (91.91 - 45.8)/22.05 = 2.091156463

Thus, the answers are:

-1.902 [FIRST BLANK]
2.091 [SECOND BLANK]