Question

Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). We're interested in using this data to test a null hypothesis about the population mean. Which of the following statements are true?

I. Assuming this represents a random sample from the population, the sample mean is an unbiased estimator of the population mean.
II. Because they're robust, t procedures are justified in this case.
III. We'd use z­procedures here, since we're interested in the population mean.
a. I only
b. II only
c. III only
d. I and II only
e. I and III only

Answer 1

Option I and II

Explanation:

I. Assuming this represents a random sample from the population, the sample mean is an unbiased estimator of the population mean.

II. Because they're robust, t procedures are justified in this case.

The t procedures are utilized because they are used as a hypothesis testing tool, which allows for testing of an hypothesis applicable to a population where in this case we are testing the null hypothesis about the population mean.