A set of pressure measurements is found is found to be normally distributed. The

Question

A set of pressure measurements is found is found to be normally distributed. The mean value of the set is 26.00 inHg and the standard deviation is 0.030 inHg. What are the odds that any given measurement from the set is outside the range [25.940, 26.060]?

A set of pressure measurements is found to be normally distributed. The mean value of the set is 26.000 inlIg and the standard deviation is 0.030 inHg. What are the odds that any given measurement from the set is outside the range [25.940, 26.060) See reference materials at end of exam. Be correct to three significant digits.

Explanation / Answer

Ans:

Given that

range=[25.94,26.06]

width=26.06-25.94=0.12

margin=0.12/2=0.06=2*0.03

The above given interval is 2 standard deviations away from the mean.

so,z=2

Now,95% of the data lies within 2 standard deviations of the mean,so 5% of the data will lie outside.

Hence,odds that any give data will lie outside the range=5/95=0.053

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