In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implem

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.

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.)

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

Explanation / Answer

solution:-
A. point estimation of population mean =
= (81+86+84,81+85+76+86+89+80+82+80+81)/12
=> 991/12 = 82.58

B. confidence interval for 99% with df = 11
standard deviation = 3.528
confidence interval formula = x +/- t * s / sqrt(n)
=> 82.58 +/- 3.106 * 3.528 / sqrt(12)
=> 82.58 +/- 3.1633
=> (79.42 , 85.74)

C. yes , the company’s claim that the “typical customer” spends $80 per month reasonable

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