Question

1. Which of the following scenarios could BEST be tested with a matched pairs or dependent samples t-test? Choose the BEST answer.

a. When you want to compare mean number of hurricanes in both El Niño and La Niña years

b. When you want to see if there is a statistically significant relationship between increased urbanization and an increase in deaths from hyperthermia

c. When you want to see if there is a difference in the number of people who evacuate for a hurricane after a public education campaign (compared to before the campaign)

d. When you want to compare average surface temperatures over two nearby forests: one planted in pine trees and the other planted in maple trees

2. One of the reasons you would use the t-test over the z-test is due to sample size. What sample size commonly distinguishes whether you should use the t-test (instead of the z-test)?

a.	sample sizes above 10

b.	sample sizes below 30

c.	sample sizes above 50

d.	sample sizes below 150

3. If the absolute value of your calculated z- or t-value is less than your z or t-critical value, then we cannot reject our null hypothesis in favor of our research/alternate hypothesis.

True

False

Answer 1

1. Which of the following scenarios could BEST be tested with a matched pairs or dependent samples t-test?

Answer : C. When you want to see if there is a difference in the number of people who evacuate for a hurricane after a public education campaign (compared to before the campaign).

2. One of the reasons you would use the t-test over the z-test is due to sample size. What sample size commonly distinguishes whether you should use the t-test (instead of the z-test)?

Answer : B. sample size below 30.

3. If the absolute value of your calculated z- or t-value is less than your z or t-critical value, then we cannot reject our null hypothesis in favor of our research/alternate hypothesis.

Answer : True

Because when test statistic value is less than the critical value, we fail to reject the null hypothesis.