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The mean annual income for people in a certain city (in thousands of dollars) is 42,...

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Statistics

The mean annual income for people in a certain city (inthousands of dollars) is 42, with a standard deviation of 30. Apollster draws a sample of 92 people to interview.

A) What is the probability that the sample mean income is lessthan 37? Round the answer to at least four decimal places.

B) What is the probability that the sample mean income isbetween 40 and 44? Round the answer to at least four decimalplaces.

C) Find the 70th percentile of the sample mean. Roundthe answer to at least one decimal place.

D) Would it be unusual for the sample mean to be less than 37?Round the answer to at least four decimal places.

E) Do you think it would be unusual for an individual to have anincome of less than 37? Explain. Assume the variable is normallydistributed. Round the answer to at least four decimalplaces.

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