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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 36 55 28 40 62
  New way 29 42 30 32 56

a) at the 5% significance level, is the new way faster? State your hypotheses and show all steps.

B) Is the decision close? clarify why.

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