Question

Which of the following is different for a t test for a single sample compared to a Z test for a single sample (hypothesis testing with a population with a known μ and σ²)?

Group of answer choices:

The way you restate the problem as a research hypothesis and a null hypothesis about the populations.

The way you determine the mean of the known population.

The way you determine the variance of the known population.

The way you decide whether to reject the null hypothesis (once you have the cutoff and your sample's score on the comparison distribution).

Answer 1

Solution:

Correct option is

The way you decide whether to reject the null hypothesis (once you have the cutoff and your sample's score on the comparison distribution).

Explanation:

One sample t test vs One sample z test.

When the population variance is known , we use z test. When unknown , we use t test (using the sample variance)

To find critical value in t test , we use t table.

In z test , we use standard normal table.

So, t tst and z test have different critical values.

So the decision rule changes