Question

True or False

a). A random sample of 1000 students' Statistics scores was drawn from the population of all possible comparable Stat scores (an unknown population/distribution). The sample mean, once computed, has the exact value of the distribution/population mean.

b). While trying to figure out the probability that the sample mean for a data of size 10 would exceed a value, we can apply the central limit theorem.

Answer 1

Question (a)

A random sample of 1000 students' statistics scores was drawn from the population of all possible comparable Statistics scores.

Now, as the sample is drawn from the population, it cannot be guaranteed that the sample mean is equal to the population mean.

So, the given statement is FALSE.

Question (b)

While trying to figure out the probability that the sample mean for a dat of size 10, would exceed a value, we cannot apply the central limit theorem.

This is because of the fact that that it is not mentioned that the distribution is normal; and the sample size of 10 also does not allow to apply central limit theorem.

So, the given statement is FALSE.