7.37 Chicken diet and weight, Part III. In Exercises 7.27 and 7.29 we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. Df Sum Sq Mean Sq F value Pr(>F) feed 231,129.16 46,225.83 195,556.02 15.36 0.0000 Residuals 65 3,008.55 Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below. 400 350 - Mean SD n 323.58 160.20 300 casein 64.43 12 horsebean 38.63 10 250 linseed 218.75 52.24 12 meatmeal 276.91 64.90 11 soybean sunflower 200 246.43 54.13 14 328.92 48.84 12 150- 100 casein horsebean linseed meatmeal soybean sunflower 7.38 Teaching descriptive statistics. A study compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures, computer instruction, and computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a 1-hour exam. (a) What are the hypotheses for evaluating if the average test scores are different for the different teaching methods? (b) What are the degrees of freedom associated with the F-test for evaluating these hypotheses? (c) Suppose the p-value for this test is 0.0168. What is the conclusion? Weight (in grams)

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7.37 Chicken diet and weight, Part III. In Exercises 7.27 and 7.29 we compared the effects of two types
of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed,
meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between
the average weights of chicks on different diets.
Df
Sum Sq
Mean Sq
F value Pr(>F)
feed
231,129.16 46,225.83
195,556.02
15.36
0.0000
Residuals
65
3,008.55
Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight
of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary
statistics are shown below.
400
350-
Mean
SD
300
casein
323.58
64.43
12
horsebean
160.20
38.63
10
250
linseed
218.75
52.24
12
meatmeal
soybean
sunflower
276.91
64.90
11
200
246.43
54.13
14
328.92
48.84
12
150-
100
casein horsebean linseed meatmeal soybean sunflower
7.38 Teaching descriptive statistics. A study compared five different methods for teaching descriptive
statistics. The five methods were traditional lecture and discussion, programmed textbook instruction,
programmed text with lectures, computer instruction, and computer instruction with lectures. 45 students
were randomly assigned, 9 to each method. After completing the course, students took a l-hour exam.
(a) What are the hypotheses for evaluating if the average test scores are different for the different teaching
methods?
(b) What are the degrees of freedom associated with the F-test for evaluating these hypotheses?
(c) Suppose the p-value for this test is 0.0168. What is the conclusion?
Weight (in grams)
Transcribed Image Text:7.37 Chicken diet and weight, Part III. In Exercises 7.27 and 7.29 we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. Df Sum Sq Mean Sq F value Pr(>F) feed 231,129.16 46,225.83 195,556.02 15.36 0.0000 Residuals 65 3,008.55 Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below. 400 350- Mean SD 300 casein 323.58 64.43 12 horsebean 160.20 38.63 10 250 linseed 218.75 52.24 12 meatmeal soybean sunflower 276.91 64.90 11 200 246.43 54.13 14 328.92 48.84 12 150- 100 casein horsebean linseed meatmeal soybean sunflower 7.38 Teaching descriptive statistics. A study compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures, computer instruction, and computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a l-hour exam. (a) What are the hypotheses for evaluating if the average test scores are different for the different teaching methods? (b) What are the degrees of freedom associated with the F-test for evaluating these hypotheses? (c) Suppose the p-value for this test is 0.0168. What is the conclusion? Weight (in grams)
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