A sample of size 60 will be drawn from a population with mean 31 and standard deviation 6. Use the TI-83 Plus/TI-84 Plus calculator. (a) Find the probability that ; will be more than 30. Round the answer to at least four decimal places. _ X The probability that x will be more than 30 is 0.7746 . I A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-83 Plus/TI-84 Plus calculator: (a) Find the probability that ; will be between 25 and 27. Round the answer to at least four decimal places. The probability that; will be between 25 and 27 is E]. l_i A sample of size 50 will be drawn from a population with mean 10 and standard deviation 8. Use the TI-83 Plus/TI-84 Plus calculator. (a) Find the probability that ; will be less than 8. Round the answer to at least four decimal places. The probability that E hm be less than 8 is E]. I_l Watch your cholesterol: The mean serum cholesterol level for US. adults was 201, with a standard deviation of 40.8 (the units are milligrams per deciliter). A simple random sample of 109 adults is chosen. Use Excel. Round the answers to at least four decimal places. (a) What is the probability that the sample mean cholesterol level is greater than 208? The probability that the sample mean cholesterol level is greater than 208 is [:l. Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4500. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. (a) What is the probability that the sample mean tax is less than $7800? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $7800 is E]. ' High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2557. Assume the standard deviation is $486. A real estate rm samples 86 apartments. Use Excel. (a) What is the probability that the sample mean rent is greater than $2627? Round the answer to at least four decimal places. The probability that the sample mean rent is greater than $2627 is E] . I Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 46, with a standard deviation of 34. A pollster draws a sample of 90 people to interview. (a) What is the probability that the sample mean income is less than 41? Round the answer to at least four decimal places. The probability that the sample mean income is less than 41 is E]. l