Forms of Test Statistic

If the population variance is known, which form of test statistic should be used?

• Use a z-test

• Use a t-test

• Use a chi-square test

• Use an F-test

If the population variance is unknown, which form of test statistic should be used?

• Use a z-test

• Use a chi-square test

• Use a t-test

• Use an F-test

When can the Central Limit Theorem be used to justify using a z-test?

• The sample size is large enough for the Central Limit Theorem to apply

• The sample size is small and the population is normally distributed

• The sample size is small and the population variance is known

• The sample size is small and the population variance is unknown

Which statement is true about the t-distribution?

• The t-distribution is used when the population variance is known

• The t-distribution is used when the population variance is unknown

• The t-distribution is used when the sample size is greater than 30.

• the t-distribution is used when you have a copy of t-table

What does the Central Limit Theorem allow us to do when dealing with large samples?

• The Central Limit Theorem allows us to use the normal distribution for large samples

• The Central Limit Theorem allows us to use the t-distribution for small samples

• The Central Limit Theorem allows us to use the chi-square distribution for large samples

• The Central Limit Theorem allows us to use the F-distribution for small samples