Question

You’re running an experiment to determine whether students perform better if they are rewarded with candy or vegetables. You sample 5 students from your class and you first reward the students with vegetables when they get right answers in the class. Then you test them and record their scores. Next, with a different 5 students you reward these students with cookies when they get right answers in the class. Then you test them with another test and record their scores. The following table depicts test grades for the two conditions:

Candy	Vegetables
3.5	2.5
3	2.5
3.75	3
4	2.75
4	3

The standard deviation for the candy group is 0.25, and the mean is 3.75. The standard deviation for vegetable group is 0.25, and the mean is 2.75.

a. Identify the name of the test you will be employing. ( 4 pts)

b. Conduct a formal null hypothesis significance test, making sure to include every step and to show all of your work, making sure to state the hypotheses in words and using statistical notation.If you need specific symbols, we have put some here for you to copy and paste into your text entry box answer: > < ≥ ≤ = ≠ ± + - x Σ x̄ x̂ ȳ ŷ y’ μ H₀ H₁ (12 pts)

You realize that you actually didn’t select 5 different students from each condition—instead, you recall that you put each student in BOTH in the cookie and the vegetable conditions. Thus, your data above was actually collected from 5 students who participated in both conditions.

Candy	Vegetables
3.5	2.5
3	2.5
3.75	3
4	2.75
4	3

a. Identify the name of the test you will be employing. (4 pts)

b. Conduct a formal null hypothesis significance test, making sure to include every step and to show all of your work, making sure to state the hypotheses in words andusing statistical notation.If you need specific symbols, we have put some here for you to copy and paste into your text entry box answer: > < ≥ ≤ = ≠ ± + - x Σ x̄ x̂ ȳ ŷ y’ μ H₀ H₁ (13 pts)

Answer 1