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Given a normal distribution with μ =100 and σ =8​, and given you select a sample...

Given a normal distribution with μ =100 and σ =8​, and given you select a sample of n=16​, complete parts​ (a) through​ (d). a. What is the probability that Upper X overbar is less than 95​?

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Answer #1

Solution :

Given that ,

mean = = 100

standard deviation = = 8

= / n = 8 / 16 = 2

P( < 95) = P(( - ) / < (95 - 100) / 2)   

P(z < -2.5)

= 0.0062

Probability = 0.0062

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