statistics

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 28 Minutes and a standard deviation of 4 minutes, while B has a mean of 32 minutes and a standard deviation of 2 minutes.
a)which procedure is preferred if the procedure must be completed within 28 minutes?
b) Thirty-eight minutes?
c) Thirty-six minutes?
Explain your reasoning?

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  1. Z = (score-mean)/SD

    Compare the Z scores for both methods for each question.

    a. Method A, Z = 0, Method B, Z = -2

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions/probabilities related to the Z scores.

    Use a similar process for b and c.

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