Question

The number of wiring packages that can be assembled by a company's employees has a normal distribution, with a mean equal to 19.8 per hour and a standard deviation of 1.2 per hour. (a) What are the mean and standard deviation of the number X of packages produced per worker in an 8-hour day?

Answer 1

Mean: μ = 158.4

Standard deviation σ = 3.3941

Explanation:

The mean number of packages produced per worker in an 8-hour day is the product of the mean number of packages produced per hour multiplied by the total number of hours:

`\mu = 19.8*8\\\mu = 158.4`

The standard deviation for 158.4 packages produced in an 8-hour period is the product of the standard deviation per hour by the square root of the total number of hours:

`\sigma = 1.2*√(8)\\\sigma = 3.3941`