Question: Let x be a continuous random variable that has a normal distribution with =83 and =16. Assuming nN0.05, find the probability that the sample mean,

Letx

be a continuous random variable that has a normal distribution with=83

and=16.

AssumingnN0.05,

find the probability that the sample mean,x,

for a random sample of 15

taken from this population will be less than 74.6

.

Round your answer to four decimal places.

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