Suppose that employees at a large company have salaries that are normally distributed, with a mean of $24 per hour, and a standard deviation of $1.60 per hour. a. What percentage of all employees earn less than $25 per hour? b. What percentage of all employees earn more than $26.50 per hour? c. What percentage of all employees earn between $21 and $24 per hour?

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For each problem, sketch the distribution, show the mean and standard deviation, and
shade the part of the curve corresponding to your calculation.
Suppose that employees at a large company have salaries that are normally distributed,
with a mean of $24 per hour, and a standard deviation of $1.60 per hour.
a. What percentage of all employees earn less than $25 per hour?
b. What percentage of all employees earn more than $26.50 per hour?
c. What percentage of all employees earn between $21 and $24 per hour?
d. Suppose the company wanted to give raises to the employees who were in the lowest 20% of
salaries at the company. How much would an employee need to earn to get a raise?
(Round to the nearest cent.)
Transcribed Image Text:For each problem, sketch the distribution, show the mean and standard deviation, and shade the part of the curve corresponding to your calculation. Suppose that employees at a large company have salaries that are normally distributed, with a mean of $24 per hour, and a standard deviation of $1.60 per hour. a. What percentage of all employees earn less than $25 per hour? b. What percentage of all employees earn more than $26.50 per hour? c. What percentage of all employees earn between $21 and $24 per hour? d. Suppose the company wanted to give raises to the employees who were in the lowest 20% of salaries at the company. How much would an employee need to earn to get a raise? (Round to the nearest cent.)
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