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You are sampling from a normally distributed set of data with μ = 155 and σ...

You are sampling from a normally distributed set of data with μ = 155 and σ = 16. You have taken samples of this data with sample size of 64 data elements. a) What is the expected mean of your samples?b) What is the expected standard deviation of your samples?c) One sample had a mean of 151. Is this unusual? Why or why not?

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Answer #1

Solution :

Given that ,

a) = 155  

b) = / n = 16 / 64 = 2

c) = 151

z = -   /

z = 151 - 155 / 2

z = -2.00

yes this is unusual, because z-score is not between -2 and 2

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