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 2016 by a sample of residents at the Tidelands Medical Center. 81 86 84 81 85 76 86 89 80 82 80 81

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

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

	Confidence interval for the population mean and

C) Is the company’s claim that the “typical customer” spends $80 per month reasonable?

Answer 1

Solution:

a) First we find point estimate for population mean using excel.

First input all data in excel sheet.

We know point estimate of population mean is sample mean.

Using excel command, =AVERAGE(Range_of_dataset)

Hence point estimate is ,

b) Now we have to find 99% confidence interval for the population mean.

Now here first we have to find standard deviation using excel,

Excel command , =STDEV(Range_of_dataset)

Hence s = 3.53

For two decimal place it is,

( 79.42 , 85.75)

Part c) Given claim is, the “typical customer” spends $80 per month reasonable?

That is we have to test that given value $80 lies in the interval or not?

We can see CI is , ( 79.42 , 85.75)

So it can be say that $80 lies in the interval. Hence we can say that the “typical customer” spends $80 per month is reasonable.

Done