Suppose Annual Salaries for Sales Associates from a Particular Store

question 110

Essay

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 less than $27,500.
e.Still suppose that the distribution of annual salaries for sales associates at this store is bell-shaped. A sales associate makes $42,000. Should this salary be considered an outlier? Explain.

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Definitions:

Protozoan Infection

An infection caused by protozoa, which are single-celled microscopic organisms.

Trichomoniasis

Trichomoniasis is a sexually transmitted infection caused by the parasite Trichomonas vaginalis, presenting symptoms such as itching, burning, and discharge in women, but often asymptomatic in men.

Mucopurulent Discharge

A type of bodily fluid that is thick, contains mucus, and pus, and is often a sign of infection or inflammation.

Trichomoniasis

A sexually transmitted infection caused by the parasite Trichomonas vaginalis, leading to symptoms such as itching, burning, and unusual discharge in affected individuals.