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would you agree with this analysis? The Standard Deviation of the Population is 15 but the Standard Deviation of the Sample of size 3 =

would you agree with this analysis?

The Standard Deviation of the Population is 15 but the Standard Deviation of the Sample of size 3 = 15/3 = 8.67

Therefore at least one data item in the sample has to be within the range 115 141 (within 3 standard deviations of the mean: 115 + 3*8.67 = 141).

The question is "Since there are only 3 data items in the sample: IF the mean of the sample is 115, THEN would at least one data item in the sample lie within 3 standard deviations of 115?"

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