Annual income: The mean annual income for people in a certaincity (in thousands of dollars) is 41, with a standard
deviation of 35. A pollster draws a sample of 91 people tointerview.
Part 1 of 5
(a) What is the probability that the sample mean income is lessthan 37? Round the answer to at least four decimal places.
The probability that the sample mean income is less than 37 is?
Part 2 of 5
(b) What is the probability that the sample mean income is between40 and 45? Round the answer to at least four decimal places.
The probability that the sample mean income is between 40 and 45is?
Part 3 of 5
(c) Find the 30th percentile of the sample mean. Round the answerto at least one decimal place.
The 30th percentile of the sample mean is?
Part 4 of 5
(d) Would it be unusual for the sample mean to be less than 33?Round the answer to at least four decimal places
It (is/isnt)unusual because the probability of the sample meanbeing less than 33 is?
Part 5 of 5
(e) Do you think it would be unusual for an individual to have anincome of less than 33? Explain. Assume the variable is normallydistributed. Round the answer to at least four decimalplaces.
(yes/no), because the probability that an individual has an incomeless than 33 is?
