Question

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n equals 60​, find the probability of a sample mean being less than 24.2 if mue quals24 and sigma equals 1.2.

Would the given sample mean be considered unusual?

Answer 1

Solution :

= / n = 1.2 / 60

P( < 24.2)

= P(( - ) / < (24.2 - 24) / 1.2 / 60 )

= P(z < 1.29)

= 0.9015

Given sample mean is not unusual because probability > 0.05