Suppose a simple random sample of size n=42 is obtained from a population with μ=65 and σ=16. ​(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample​ mean? ​(b) Assuming the normal model can be​ used, determine ​P(x<68.1​).

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Suppose a simple random sample of size
n=42
is obtained from a population with
μ=65
and
σ=16.
​(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample​ mean?
​(b) Assuming the normal model can be​ used, determine
​P(x<68.1​).
 

 

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