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(3) You gathered a random sample from a population and determined the SAMPLE standard deviation for...

(3) You gathered a random sample from a population and determined the SAMPLE standard deviation for that data set to be 17.6. WHICH of the following comments about the corresponding POPULATION standard deviation is MOST reasonable?

(A)   It must EXCEED 17.6 (B) It must lie WITHIN 4 UNITS of 17.6. (C) It must be LOWER THAN 17.6. (D) NO statement could reasonably be made regarding the possible value of the POPULATION standard deviation. (E) It must EQUAL 17.6.

Math   Statistics-And-Probability   
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Answer #1

We know that,

Hence,

The correct answer is,

(D) NO statement could reasonably be made regarding the possible value of the POPULATION standard deviation.

Thank you.

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