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Vinvika [58]
3 years ago
12

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard

deviation of 8 minutes, while method B has a mean of 37 minutes and a standard deviation of 4.0 minutes. (a) Which procedure is preferred if the procedure must be completed within 34 minutes?
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

Method A.

Step-by-step explanation:

For solving this question we need to find out the z-scores for both methods,

Since, the z-score formula is,

z=\frac{x-\mu}{\sigma}

Where, \mu is mean,

\sigma is standard deviation,

Given,

For method A,

\mu = 33

\sigma=8

Thus, the z score for 34 is,

z_1=\frac{34-33}{8}=0.125

While, for method B,

\mu = 37

\sigma = 4

Thus, the z score for 34 is,

z_2=\frac{34-37}{4}=-0.75,

Since, z_1 > z_2

Hence, method A is preferred if the procedure must be completed within 34 minutes.

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