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6. The average weight of men in the United States, aged 20 years or older, is 183.8 pounds and the standard deviation is 31.3 pounds.

6. The average weight of men in the United States, aged 20 years or older, is 183.8 pounds and the standard deviation is 31.3 pounds.

a) Calculate the z score for a man in the United States who weighs 181.6 pounds. (Round your answer to 2 decimals.)

b) Calculate the z score for a man in the United States who weighs 259.0 pounds. (Round your answer to 2 decimals.)

c) What proportion of men in the United States weigh between 181.6 and 259.0 pounds? (Round your answer to 4 decimals.)

7. Waiting times at the local dental office are uniformly distributed between 8 and 25 minutes. a) Find the typical amount of time that one will wait to see the dentist. (Round your answer to 1 decimal.)

b) Find the standard deviation. (Round your answer to 3 decimals.)

8. Find the area under the normal curve that is to the right of z = -2.96. (Round to 4 decimals.)

9.

The shape of a normal probability distribution is

Positively skewed
Bell shaped
Rectangular

Negatively skewed

10. The mean score of the GMAT is 563 points and the standard deviation is 68 points. The scores are normally distributed.

a) Calculate the z score of a GMAT score of 599 points. (Round your answer to 2 decimals.)

b) What proportion of test scores are lower than 599 points? (Round your answer to 4 decimals.)

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