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A college has 240 full-time employees that are currently covered under the school's health care plan....

A college has 240 full-time employees that are currently covered under the school's health care plan. The average out-of-pocket cost for the employees on the plan is $1,820 with a standard deviation of $515. The college is performing an audit of its health care plan and has randomly selected 35 employees to analyze their out-of-pocket costs.

a. Calculate the standard error of the mean.

b. What is the probability that the sample mean will be less than $1,765?

c. What is the probability that the sample mean will be more than $1,790 ?

d. What is the probability that the sample mean will be between $1,840 and $1,870 ?

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