Amarketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store. assume that the money spent by the population of shoppers follow a normal distribution with a standard deviation of $21.51. what is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.

0.998 is the probability that the average money spent by  a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

We have to find:

P( average money spent is within $10 of the actual population mean.)

Calculation the value from standard normal z table, we have,  

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

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step-by-step explanation: