Question

# An experimental surgical procedure is being studied as an alternative to the old method. Both methods...

An experimental surgical procedure is being studied as an alternative to the old method. Both methods are considered safe. Five surgeons perform the operation on two patients matched by age, sex, and other relevant factors, with the results shown. The time to complete the surgery (in minutes) is recorded.

 Surgeon 1 Surgeon 2 Surgeon 3 Surgeon 4 Surgeon 5 Old way 37 56 33 35 64 New way 35 38 31 34 50

(a-1) Calculate the difference between the new and the old ways for the data given below. Use α = .100. (Negative values should be indicated by a minus sign.)

 X1 X2 X1 - X2 Surgeon Old Way New Way Difference 1 37 35 2 56 38 3 33 31 4 35 34 5 64 50

(a-2) Calculate the mean and standard deviation for the difference. (Round your mean answer to 1 decimal place and standard deviation answer to 4 decimal places.)

 Mean = ___ Standard Deviation = ___

(a-3)
Choose the right option for H0: μd ≤ 0; H1: μd> 0.

• Reject if tcalc < 1.533206274

• Reject if tcalc > 1.533206274

(a-4) Calculate the value of tcalc. (Round your answer to 4 decimal places.)

t
calc = ___

(b-1) Is the decision close? (Round your answer to 4 decimal places.)

The decision is not close

The p-value is = ___

(b-2) The new way is better than the old.

• Yes

• No

To test the hypothesis we will use t distribution

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