Question

# The population mean and standard deviation are given below. Find the required probability and determine whether...

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?

#### Homework Answers

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

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