1. A normal population has mean=52and standard deviation=7 What is the82nd percentile of the population? Use the TI-84 Plus calculator. Round the answer to at least one decimal place.
2. In a recent study, the Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean80.7 and standard deviation 10.1. (a) Find the30th percentile of the blood pressures. (b) Find the67th percentile of the blood pressures .(c) Find the first quartile of the blood pressures. Use the TI-84 Plus calculator and round the answers to at least two decimal places.
3. A sample of size40 will be drawn from a population with mean50 and standard deviation9. Use the TI-84 Plus calculator. (a) Is it appropriate to use the normal distribution to find probabilities forx? (b) Find the probability thatx will be between51 and52. Round the answer to at least four decimal places. (c) Find the44thpercentile ofx. Round the answer to at least two decimal places. Itisappropriate to use the normal distribution to find probabilities forx. The probability thatx will be between51 and52is. The44thpercentile ofxis.Itis notappropriate to use the normal distribution to find probabilities forx.
4. The mean serum cholesterol level for U.S. adults was204, with a standard deviation of42.5(the units are milligrams per deciliter). A simple random sample of112adults is chosen. Use the TI-84 calculator. Round the answers to four decimal places.

Step 1. What is the probability that the sample mean cholesterol level is greater than212?

The probability that the sample mean cholesterol level is greater than212

is

Step 2. What is the probability that the sample mean cholesterol level is between192 and 202? The probability that the sample mean cholesterol level is between192and202 is

Step 3. Would it be unusual for the sample mean to be less than197? Itwould or would not (Choose one) be unusual for the sample mean to be less than197, since the probability is.