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An experimental surgical procedure is being studied as an alternative to the old

ID: 3328924 • Letter: A

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.

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.)

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

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.

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Old Way and New Way
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

a - 2) Mean = 10.2

Standard deviation = 10.4976

a - 3) Reject if t > 2.776445105

a - 4) tcalc = 2.1727

b - 1) Close

p - value = 0.0478

Difference Mean Std. Err. DF T-Stat P-value Old Way - New Way 10.2 4.6946778 4 2.172673 0.0478
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