Question

A researcher collects a simple random sample of grade-point averages of statistics students, and she calculates the mean of this sample. Under what conditions can that sample mean be treated as a value from a population having a normal distribution? Select all that apply.

A. The sample has more than 30 grade-point averages.

B. If the population of grade-point averages has a normal distribution

C. The researcher collects more than 30 samples.

D. If the population of statistics students has a normal distribution.

Answer 1

Answer:

A. The sample has more than 30 grade-point averages.

B. If the population of grade-point averages has a normal distribution

Step-by-step explanation:

According to the Central Limit Theorem, if the sample size is big enough(>30) and the population distribution is normal (population of grade point averages) then that sample mean be treated as a value from a population.

Population of statistics students is out of concern in this context since grade-point averages are sampled.