The League of Kazakhstani Chefs consists of 1500 people. A survey of 30 randomly selected chefs was made. Specifically, for each member of the sample the number of minutes spent on the preparation of Olivier salad was recorded. Suppose that the population standard deviation is 20 minutes. a. What is the probability that the sample mean exceeds the population mean by more than 15 minutes? b. What is the probability that the sample mean is more than 5 minutes below the population mean? c. What is the probability that the sample mean differs from the population mean by more than 12 minutes? Draw a graph

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The League of Kazakhstani Chefs consists of 1500 people. A survey of 30 randomly
selected chefs was made. Specifically, for each member of the sample the number of
minutes spent on the preparation of Olivier salad was recorded. Suppose that the
population standard deviation is 20 minutes.
a. What is the probability that the sample mean exceeds the population mean by more than 15
minutes?
b. What is the probability that the sample mean is more than 5 minutes below the population
mean?
c. What is the probability that the sample mean differs from the population mean by more than
12 minutes? Draw a graph

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