Question

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: μ_d ≤ 0; H₁: μ_d> 0.

• Reject if t_calc < 1.533206274

• Reject if t_calc > 1.533206274

(a-4) Calculate the value of t_calc. (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

Answer 1

To test the hypothesis we will use t distribution