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=68, find the probability of a sample mean being less than 20.6, if u=21 and σ=1.31

For a sample of n=68, the probability of a sample mean being less than 20.6 if μ=21 and σ=1.31 is ________

(Round to four decimal places as needed)

here, sample size (n) = 68 >30, so, we can say that the sample mean will follow normal distribution with :-

the probability of a sample mean being less than 20.6 is:-

[ using standard normal table ]

decision:-

the probability is = 0.0059 < 0.05..

Hence, we can say that the given sample mean would be considered unusual.

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