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StatisticsQ&A Library. Sunshine City was designed to attract retired people, and its current population of 50,000 residents has a mean age of 60 years and a standard deviation of 16 years. The distribution of ages is skewed to the left.(a) What is the distribution of the sample mean age of residents for a random sample of 100 residents? (b) What is the probability that a random sample of 100 residents have a mean age between 50 and 70 years of age? (c) What is the probability that the mean age of a random sample of 100 residents is less than 55?Question

. Sunshine City was designed to attract retired people, and its current population of 50,000 residents has a mean age of 60 years and a standard deviation of 16 years. The distribution of ages is skewed to the left.

(a) What is the distribution of the sample mean age of residents for a random sample of 100 residents?

(b) What is the probability that a random sample of 100 residents have a mean age between 50 and 70 years of age?

(c) What is the probability that the mean age of a random sample of 100 residents is less than 55?

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