The number of customers served at a busy restaurant on Wednesdays follows a Normal distribution with mean 4,362 and standard deviation 251.  Suppose we select a simple random sample of 36 Wednesdays and use it to compute x, the average number of customers served on each of these Wednesdays.  What is the probability that the average number of customers served on on these 36 Wednesday exceeds 4,444?

MATLAB: An Introduction with Applications
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The number of customers served at a busy restaurant on Wednesdays follows a Normal distribution with mean 4,362 and standard deviation 251. 

Suppose we select a simple random sample of 36 Wednesdays and use it to compute x, the average number of customers served on each of these Wednesdays.  What is the probability that the average number of customers served on on these 36 Wednesday exceeds 4,444?

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