# A random sample of 75 medical doctors in Detroit showed that they worked an average of 55.1 hours/week with a standard deviation of 7.2 hours/week. A random sample of 75 medical doctors in Cleveland worked an average of 61 hours/week with a standard deviation of 7.9 hours/week. Is there is difference in the mean number of hours worked for the two cities? What is the appropriate test to answer this question? APaired Samples t test BCorrelation CChi Square test DIndependent Samples t test

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A random sample of 75 medical doctors in Detroit showed that they worked an average of 55.1 hours/week with a standard deviation of 7.2 hours/week. A random sample of 75 medical doctors in Cleveland worked an average of 61 hours/week with a standard deviation of 7.9 hours/week. Is there is difference in the mean number of hours worked for the two cities? What is the appropriate test to answer this question?

A
Paired Samples t test

B
Correlation

C
Chi Square test

D
Independent Samples t test
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Step 1

Conditions for Two sample Independent t test:

• The two samples are independent to each other.
• Population standard deviations are unknown.

From the given information, the mean number of hours worked for a sample of 75 medical doctors in Detroit compared with a sample of 75 medical doctors...

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