A medical resident is convinced that, on average, residents at his hospitals work for over 3 hours more per week than residents at other hospitals. Suppose that he finds that a random sample of 30 residents at his hospital works an average of 74.3 hours per week with a standard deviation of 2.6 hours. He also surveys a random sample of 30 residents working at other hospitals and finds they worked an average of 70.1 hours per week with a standard deviation of 2.9 hours. Do the data support the resident's belief? test the relevant hypotheses at a significance level of 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A medical resident is convinced that, on average, residents at his hospitals work for over 3 hours more per week than residents at other hospitals. Suppose that he finds that a random sample of 30 residents at his hospital works an average of 74.3 hours per week with a standard deviation of 2.6 hours. He also surveys a random sample of 30 residents working at other hospitals and finds they worked an average of 70.1 hours per week with a standard deviation of 2.9 hours. Do the data support the resident's belief? test the relevant hypotheses at a significance level of 0.05.

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