uppose that the heights of female adults in the United States are normally distributed with a mean of 65.4 inches and a standard deviation of 2.8 inches. Let X denote the height of a randomly chosen adult female. Illustrate your answers with graphs. a. Use the standard normal probability table to calculate the probability that X is between 66 and 70 inches. b. Suppose that a random sample of 10 adult females was chosen and the sample mean was recorded. Give the values of the mean and standard deviation of the sample mean, and describe the shape of the distribution. c. Use the standard normal probability table to calculate the probability that the sample mean is greater than 68 inches.

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Suppose that the heights of female adults in the United States are normally distributed with a mean of 65.4
inches and a standard deviation of 2.8 inches. Let X denote the height of a randomly chosen adult female.
Illustrate your answers with graphs.
a. Use the standard normal probability table to calculate the probability that X is between 66 and 70 inches.
b. Suppose that a random sample of 10 adult females was chosen and the sample mean was recorded. Give
the values of the mean and standard deviation of the sample mean, and describe the shape of the distribution.
c. Use the standard normal probability table to calculate the probability that the sample mean is greater than
68 inches. 

 

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