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In: Statistics and Probability

The chief physician at a hospital wants to analyze the amount of time it takes two...

The chief physician at a hospital wants to analyze the amount of time it takes two doctors to complete a particular surgical procedure. A sample of 40 of these procedures performed by Dr. McCoy were completed in a mean time of 70.8 minutes with a standard deviation of 1.5 minutes. A sample of 35 these procedures performed by Dr. Turk were completed in a mean time of 71.4 minutes with a standard deviation of 2.4 minutes. A claim is made that the mean time for Dr. McCoy ( μ 1 μ1 ) is less than the mean time for Dr. Turk ( μ 2 μ2 ). For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point.

(a) Calculate the value of the test statistic used in this test. Test statistic's value =

(b) Use your calculator to find the P-value of this test. P-value =

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