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.
(a) At the 5 percent significance level, is the new way faster? State your hypotheses and show all steps clearly.
(b) Is the decision close?

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Old way New way Surgeon 1 Surgon 2 Surgon 3 Surgeon 4 Surgeon 5 28 30 40 32 62 56 36 29 42