Question

In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all residents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2017 by a sample of residents at the Tidelands Medical Center. 86 89 87 85 81 82 89 88 82 84 81 76

What is the point estimate of the population mean? (Round your answer to 2 decimal places.)

Develop a 99% confidence interval for the population mean. (Use t Distribution Table.) (Round your answers to 2 decimal places.)

Answer 1

1) The point estimate of population mean is sample mean Xbar = 84.17

2) The 99% confidence interval for population mean

xbar - t​​​​​​a/2*(s/√n) < < xbar + t​​​​​​a/2*(s/√n)

For a = 0.01 , d.f = n -1 = 12 - 1 = 11

t​​​​​​a/2,n-1 = t​​​​​​0.005 , 11 = 3.11

84.17 -3.11*(3.93/√12) < < 84.17 + 3.11*(3.93/√12)

84 .17 - 3.53 < < 84.17 + 3.53

80.64 < < 87.70

This is 99% confidence interval for population mean