Question

1. Consider the non-parametric methods for creating confidence intervals for a single mean and hypothesis testing for a single mean. Answer each of the following questions with one of the following options: confidence interval estimation, hypothesis testing, both, or neither.
   1. (1 point) Which method involves shifting the sample data?
   2. (1 point) Which method creates a distribution that is centered at the observed sample mean?
   3. (1 point) Which method involves using sample data and sampling with replacement?
   4. (1 point) Which method requires that the sampling distribution of the sample mean is known?
   5. (1 point) Which method is appropriate when our sample data did not come from a normal population and the sample sizes are small?

Answer 1

1)

Confidence interval method involves the shifting the sample data

2)

The confidence interval estimation method creates a distribution that is centered at the observed sample mean

3)

The method involves using sample data and sampling with replacement is both confidence interval estimation, hypothesis testing.

4)

The method requires that the sampling distribution of the sample mean is known is neither confidence interval estimation, hypothesis testing.

5)

Confidence interval method is appropriate when our sample data did not come from a normal population and the sample sizes are small