The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year.

Employee 1 2 3 4 5 6 7 8 9 10
Age 30 50 40 55 30 28 60 25 30 45
Sick Days 7 4 3 2 9 10 0 8 5 2

The estimated regression line and the standard error are given.

Sick Days=14.310162−0.2369(Age)

se=1.682207

Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 48. Round your answer to two decimal places.

Question

01-11-2022
Business

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The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year.

Employee 1 2 3 4 5 6 7 8 9 10
Age 30 50 40 55 30 28 60 25 30 45
Sick Days 7 4 3 2 9 10 0 8 5 2

The estimated regression line and the standard error are given.

Sick Days=14.310162−0.2369(Age)

se=1.682207

Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 48. Round your answer to two decimal places.

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