1.The number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and a standard deviation of20 nuts.My can of mixed nuts has only477nuts.What is thez-scorefor this can of nuts? (Enter your answer to two decimal places.)

z=

2.The following exercise refers to scores on standardized exams with results that are normally distributed. Round your answer to one decimal place.

Suppose you have a score that puts you1.7standard deviations below the mean. What is your percentile score?

3.The following exercise refers to scores on standardized exams with results that are normally distributed. Round your answer to one decimal place.

Suppose you have a score that puts you in the56th percentile. What is yourz-score?

4.A person's IQ (Intelligence Quotient) is supposed to be a measure of his or her "intelligence." The IQ test scores are normally distributed and are scaled to a mean of 100 and a standard deviation of 15.

If your IQ is130, what is your percentile score? Round your answer to one decimal place

5.The average maximum monthly temperature in Campinas, Brazil is 29.9 degrees Celsius. The standard deviation in maximum monthly temperature is 2.31 degrees. Assume that maximum monthly temperatures in Campinas are normally distributed.

What percentage of months would have a maximum temperature of32degrees or higher? Round your answer to one decimal place.

6.The heights of American women between the ages of 18 and 24 are approximately normally distributed.The mean is64.1 inches,and the standard deviation is2.5 inches.What percentage of such women are over 5 feet9inches tall? (Round your answer to one decimal place.)