For a certain year, the average annual salary in Pennsylvania was $25,000. Assume that the salaries were normally distributed for a certain group of wage earners and that the standard deviation of this group was $4400. Use the formulas Z= (x-μ) / σ Z= (x̄ - μ) ÷ (μ / √n) a) Find the probability that, a randomly selected individual earned less than $26,000. b) Find the probability that, for a randomly selected sample of 25 individuals, the mean salary was less than $26000. c) Why is the probability for part b higher than the probability for part

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For a certain year, the average annual salary in Pennsylvania was $25,000.

Assume that the salaries were normally distributed for a certain group of wage earners and that the standard deviation of this group was $4400.

Use the formulas

Z= (x-μ) / σ

Z= (x̄ - μ) ÷ (μ / √n)

a) Find the probability that, a randomly selected individual earned less than $26,000.

b) Find the probability that, for a randomly selected sample of 25 individuals, the mean salary was less than $26000.

c) Why is the probability for part b higher than the probability for part a?

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