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 40 53 28 36 55

New way 29 37 36 33 54

(a-1)Calculate the difference between the new and the old ways for the data given below. Use= .050.(Negative values should be indicated by a minus sign.)

X₁X₂X₁-X₂

Surgeon Old Way New Way Difference

1 40 29 ?

2 53 37 ?

3 28 36 ?

4 36 33 ?

5 55 54 ?

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

Mean ?

Standard Deviation ?

(a-3)Choose the right option forH₀:_d 0;H₁:_d> 0.

multiple choice 1

• Reject ift_calc< 2.131846786
• Reject ift_calc> 2.131846786

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

t_calc

The p-value is?