Question

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 =

Answer 1

Solution VIS ftypotnesis Null AHernate stati'stics Test n2 35 70 8 か t =て人 の -2.4 S Sp (n2-1) S2 n,4n-2 (40-1).5)+ (35-02.4) 40+3 2 70 8- 1.4 SPx {.9701 40 35 40 35 (It tn.n Pvalue P Lt-1352) P value ニ0.1925 (two tailef)