Sampling distribution

Suppose that, out of a total of 572 full-service restaurants in Vermont, the number of seats per restaurant is normally distributed with mean µ=65.7 and a standard deviation σ=20.5


The Vermont tourism board selects a simple random sample of 50 full-service restaurants located within the state and determines the mean number of seats per restaurant for sample.


What is the standard deviation of the sampling distribution of the sample mean?

There is a .25 probability that the sample mean is less than __________.


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