Studies have shown that the average price for fish fry among all restaurants in Wisconsin is normally distributed with mean $10.20 and a standard deviation of 3.
(a) If we take a random sample of 50 Wisconsin restaurants, what is the probability that the average price of fish fry in this sample is less than $9.50? Show your work.
(b) If we take a random sample of 35 Wisconsin restaurants, what is the probability that the average price of fish fry in this sample is between $9.20 and $11.00? Show your work.
(c) What is the probability that Lake Side Bistro’s fish fry is less than $13.50? Show your work.
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