a. What is the shape of the sampling distribution of š. - xp? Why? b. Find the mean and standard deviation of the sampling distribution of F. - Ip. c. Calculate the probability that the average monthly cost of living expense of the 16 randomly selected California residents is less than the average monthly cost of living expense of the 9 randomly selected Florida residents.

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Is it more expensive to live in California or Florida? Monthly cost of living expenses for California are
approximately Normal with mean 4.= $10,800 and standard deviation o, = $3,200. Monthly cost of
living expenses for Florida are approximately Normal with mean 4, = $8,500 and standard
deviation o, = $2,700. Suppose we select independent SRSS of 16 residents of California and 9
residents of Florida and calculate the sample mean monthly cost of living, and p.
a. What is the shape of the sampling distribution of x. - x, ? Why?
b. Find the mean and standard deviation of the sampling distribution of . -īp.
c. Calculate the probability that the average monthly cost of living expense of the 16 randomly
selected California residents is less than the average monthly cost of living expense of the 9
randomly selected Florida residents.
Transcribed Image Text:Is it more expensive to live in California or Florida? Monthly cost of living expenses for California are approximately Normal with mean 4.= $10,800 and standard deviation o, = $3,200. Monthly cost of living expenses for Florida are approximately Normal with mean 4, = $8,500 and standard deviation o, = $2,700. Suppose we select independent SRSS of 16 residents of California and 9 residents of Florida and calculate the sample mean monthly cost of living, and p. a. What is the shape of the sampling distribution of x. - x, ? Why? b. Find the mean and standard deviation of the sampling distribution of . -īp. c. Calculate the probability that the average monthly cost of living expense of the 16 randomly selected California residents is less than the average monthly cost of living expense of the 9 randomly selected Florida residents.
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