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Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500

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Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a

standard deviation of $2,500.

a. Calculate and interpret the z-score for a sales associate who makes $36,000.

b. Use Chebyshev's theorem to calculate the percentage of sales associates with salaries between $26,250 and $38,750.

c. Suppose that the distribution of annual salaries for sales associates at this store is bell- shaped. Use the empirical rule to calculate the percentage of sales associates with salaries between $27,500 and $37,500.

d. Use the empirical rule to determine the percentage of sales associates with salaries higher than $37,500.