In a test of a new surgical procedure, the five surgeons participated in a study

Question

In a test of a new surgical procedure, the five surgeons participated in a study at a hospital. Each surgeon was assigned two patients of the same age, gender, and overall health. One patient was operated upon in the old way, and the other in the new way. Both procedures are considered equally safe. The goal of the study was to compare average times to perform the surgery in the two different ways. The surgery times are shown below: Surgeon Allen Bob Chloe Daphne Edgar Old way 36 55 28 40 62 New way 31 45 28 35 57 Which test should we use to test for zero difference in mean times? a. Paired t-test b. Independent samples t-test c. Independent samples z test d. Cannot be sure without knowing .

Explanation / Answer

paired t-test is one sample t-test in which observation in one sample is paired with observation in other sample. so for given data we cannot used paired t-test.

Independent samples z test is used when we have large sample data but here we have only 5 random sample are given. so this test cannot be used here.

if don't know alpha we take it as 0.05, so this option is also not possible.

In Independent samples t-test. is divided ito two parts One sample t-test and Two sample t-test. in two sample t- t we check the difference between two sample mean having small number of observaion.so option b is perfectly fit with our answer. so answer b is correct.

Thanks

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