1. Basic skills test are given to ninth-grade students in four high schools in a certain county. Random samples of their scores are shown in the table.

School A	School B	School C	School D
20	24	16	19
21	21	21	20
22	22	18	21
24	25	13	20

Briefly describe the goal of this study in ordinary language, then conduct a hypothesis test at the .05 level of significance. Explain the meaning of the F-ratio and p-value in this context, and summarize results in paragraph form.

2. A study was conducted to study the length of time (in seconds), required for students majoring in art, music, and physical education to finish a particular task involving certain motor skills. Seven people were randomly chosen from each of the three disciplines. The results are listed in the table.

Art	Music	P.E
17	24	25
21	18	24
25	19	25
16	22	21
19	23	24
22	20	28
18	21	19

Briefly describe the goal of this study in ordinary language, then conduct a hypothesis test at the .01 level of significance. Explain the meaning of the F-ratio and p-value in this context, and summarize results in paragraph form.

3. Four diets were compared for controlling blood sugar in diabetic patients. Nine patients were randomly assigned to each diet. The data in the accompanying table represent the blood glucose readings of the patients following two weeks on the special diets.

A	B	C	D
140	160	200	200
120	110	220	180
80	110	220	180
120	130	190	170
130	150	150	130
120	100	210	210
120	140	230	150
120	100	190	170
120	130	180	170

Briefly describe the goal of this study in ordinary language, then conduct a hypothesis test at the .05 level of significance. Explain the meaning of the F-ratio and p-value in this context, and summarize your in paragraph form.