For a class project, 6 students prepared popcorn in a similar fashion using identical amounts of 3 different oils. Afterwards, they counted the number of unpopped kernels with the results given below:

Vegetable	Canola	Safflower
336	544	381
453	577	404
468	498	504
516	631	428

At the .05 level, is there a significant difference in the mean number of unpopped kernels?

1. What is the critical value for step 2?

2. At the .05 level, is there a significant difference in the mean number of unpopped kernels?

What is the calculated value (test statistic) for step 3?

3. What is your decision (steps 4 and 5)?

For a research project, George Jetson took a survey of 400 employees at a local manufacturing company and grouped the employees by job position and whether or not they completed a new training program. The information he gathered is given below:

Job Position	Completed Training	Did not complete Training	Total
Worker I	58	15	73
Worker II	51	52	103
Coordinator	42	28	70
Inspector	32	39	71
Loader	29	54	83
Total	212	188	400

Test the hypothesis at the .05 level that job position is independent of whether or not an employee completed the new training program.

4. What is your critical value for step 2?

5. What is the test statistic value for step 3?

6. What is your decision (steps 4 and 5)?