Question

Consider the following two scenarios. A) take a simple random sample of 100
graduate students at X university and b) take a simple random sample of 100 graduate students
studying Data Science. For each sample you record the amount spent on textbooks used for classes.
Which sample do you expect to have the smaller standard deviation? Explain your answer.

Answer 1

SOLUTION-

We know that probability distribution function in normal distribution is inversely proportional to standard deviation.

It means that more the standard deviation ,probability will be less it means that normal distribution curve will be flatter or vice versa

In case b there is more probability of using books. Hence standard deviation in this case will be small.

So for b there is small standard deviation.

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