Question

Question 3 In the following scenarios please indicate which of the following tests would be most appropriate to use in each of the described situations:

(A) Proportion test
(B) 1-sample Z-test
(C) 1-sample t-test
(D) 2-sample t-test
(E) paired t-test
(F) Test of correlation

(G) χ2-goodness of fit test

(H) χ2 test of homogeneity

(I) χ2 test of independence

1. A steel beam manufacturer wants to know if a new process has improved the average strength of its product. They take a sample of beams constructed using the new method and measure the weight they can support, comparing this to the known strength of beams constructed using the previous method.

2. A casino wants to know if its dice are fair. It takes a die and rolls it 300 times, tabulating the outcomes.

3. A dieting company wants to demonstrate the effectiveness of their product. They sample 25 new mem- bers and measure their weights when they begin their diets and 10 weeks later.

4. The FDA wants to know if smoking is related to cancer. They sample 100 fifty-year-olds and ask each whether they smoke and whether they have cancer, tabulating the results.

5. A scientist wants to know if conditions in two different regions have caused the ant populations to adapt by growing to different sizes. They sample 50 ants from each region and record their weights.

Answer 1

QUESTION-3.>

TOPIC: Finding the appropriate testing procedures for the given situations.