Question

At the local college, a study found that students earned an average of 14.8 credit hours per semester. A sample of 94 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college

Answer 1

Answer:

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of the sample:

14.8 credit hours per semester.

So

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.