Question

True or False:

1. A confidence interval is used for estimating a population parameter.

2. A confidence interval always captures the sample statistic.

3. A confidence interval always captures the population parameter.

4. When constructing a confidence intervals we should always use Z-critical values.

5. The margin of error determines the center location of the confidence interval.

6. In general, we would like to have a precise confidence interval while having a high level of confidence.

Answer 1

Answer)

1)

True, confidence interval is used for estimating the population parameter.

2)

Confidence interval is given by

(Sample mean - Margin of error, Sample mean + margin of error)

So, answer is true,

A confidence interval always captures the sample statistic.

3)

False.

Because not always.

For example if we have calculated a 95% confidence interval.

Then it will capture the population parameter 95% of the times.

4)

False.

We can aslo use t distribution table.

It depends, if population variance is known or not.

If known then z.

If unknown then t.