Question

The mean number of travel days per year for salespeople employed by three hardware distributors needs to be estimated with a 0.90 degree of confidence. For a small pilot study, the mean was 150 days and the standard deviation was 14 days. If the population mean is estimated within two days, how many salespeople should be sampled?

Answer 1

Answer: There are 132 sales people should be sampled.

Explanation:

Since we have given that

Degree of confidence = 0.90

Mean = 150 days

Standard deviation = 14 days

Population mean is estimated within 2 days .

Let E= 2

So, number of sales people should be samples is given by

`n=((z* s)/(E))^2\\\\n=((1.64* 14)/(2))^2\\\\n=131.79\\\\n\approx 132`

Hence, there are 132 sales people should be sampled.