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It is known that data are normally distributed.. The mean of the data is 350 and...

It is known that data are normally distributed.. The mean of the data is 350 and 99.7%% of all values lie between 326 and 374.. What is the value of the standard deviation??

A.. 24 B.. 16 C.. 8 D.. 6 E.. 4

Math   Statistics-And-Probability   
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Answer #1

P ( a < X < b ) = 0.997
Dividing the area 0.997 in two parts we get 0.997/2 = 0.4985
since 0.5 area in normal curve is above and below the mean
Area below the mean is a = 0.5 - 0.4985 = 0.0015
Area above the mean is b = 0.5 + 0.4985 = 0.9985
Looking for the probability 0.0015 in standard normal table to calculate critical value Z = -2.97
Looking for the probability 0.9985 in standard normal table to calculate critical value Z = 2.97






Option C is correct.

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