An education researcher is interested in students' participation in voluntary daily exercise activities (such as weight training or aerobics classes). The researcher believes that if students attend a small-g ssion, then they will be more likely to engage in daily exercise activities. This researcher is testing two hypotheses. The first is that the group work provides extra time on the task and has an effect on students' exercise habits. The second is that this treatment effect is mode umber of languages spoken. Past research has suggested that there should not be a main effect for being multi-lingual. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being cond count for any influence from language, the treatment, and the interaction of the two main effects. To test the hypotheses, the research has obtained 28 participants: 14 English-only speakers and 14 students who speak English and at least one other language. From each group of 14, 7 students were osen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students desire to exercise gher the test score, the more positive the result.) Use a 2x2 ANOVA with a = 0.01 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.

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( 1a) What is the Fvalue for the treatment effect?
(Report answer accurate to 2 decimal place.)
( 1b) What is the p-value for the Fvalue for the treatment effect?
(Report answer accurate to 4 decimal places.)
( 1c) Does this support the researcher's hypothesis that the treatment has an effect on daily exercise patterns?
Oyes
Ono
( 2a) What is the Fvalue for the language effect?
(Report answer accurate to 2 decimal place.)
( 2b) What is the p-value for the Fvalue for the language effect?
(Report answer accurate to 4 decimal places.)
( 2c) Does this support the researcher's assumption that language does NOT have an effect on daily exercise patterns?
Oyes
Ono
( 3a) What is the Fvalue for the interaction effect?
(Report answer accurate to 2 decimal place.)
( 3b ) What is the p-value for the Fvalue for the interaction effect?
(Report answer accurate to 4 decimal places.)
( 3c) Does this support the researcher's hypothesis that the treatment effect is moderated by language?
Oyes
Ono
Transcribed Image Text:( 1a) What is the Fvalue for the treatment effect? (Report answer accurate to 2 decimal place.) ( 1b) What is the p-value for the Fvalue for the treatment effect? (Report answer accurate to 4 decimal places.) ( 1c) Does this support the researcher's hypothesis that the treatment has an effect on daily exercise patterns? Oyes Ono ( 2a) What is the Fvalue for the language effect? (Report answer accurate to 2 decimal place.) ( 2b) What is the p-value for the Fvalue for the language effect? (Report answer accurate to 4 decimal places.) ( 2c) Does this support the researcher's assumption that language does NOT have an effect on daily exercise patterns? Oyes Ono ( 3a) What is the Fvalue for the interaction effect? (Report answer accurate to 2 decimal place.) ( 3b ) What is the p-value for the Fvalue for the interaction effect? (Report answer accurate to 4 decimal places.) ( 3c) Does this support the researcher's hypothesis that the treatment effect is moderated by language? Oyes Ono
An education researcher is interested in students' participation in voluntary daily exercise activities (such as weight training or aerobics classes). The researcher believes that if students attend a small-group work-
session, then they will be more likely to engage in daily exercise activities.
This researcher is testing two hypotheses. The first is that the group work provides extra time on the task and has an effect on students' exercise habits. The second is that this treatment effect is moderated by the
number of languages spoken. Past research has suggested that there should not be a main effect for being multi-lingual. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being conducted to
account for any influence from language, the treatment, and the interaction of the two main effects.
To test the hypotheses, the research has obtained 28 participants: 14 English-only speakers and 14 students who speak English and at least one other language. From each group of 14, 7 students were randomly
chosen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students' desire to exercise daily. (The
higher the test score, the more positive the result.)
Use a 2x2 ANOVA with a = 0.01 to test the the data and evaluate the hypotheses. Results are provided below for each group of students.
Factor B: Treatment
Control:
Treatment:
No Extra Work Extra time with Group
52.5
50.0
47.7
56.0
56.4
58.9
English only
40.5
61.7
30.3
62.1
50.0
70.9
49.1
50.1
Factor A:
Languages
56.9
68.6
40.2
78.2
39.8
61.6
Multilingual
45.9
70.1
54.4
72.8
56.0
50.2
56.1
57.6
Transcribed Image Text:An education researcher is interested in students' participation in voluntary daily exercise activities (such as weight training or aerobics classes). The researcher believes that if students attend a small-group work- session, then they will be more likely to engage in daily exercise activities. This researcher is testing two hypotheses. The first is that the group work provides extra time on the task and has an effect on students' exercise habits. The second is that this treatment effect is moderated by the number of languages spoken. Past research has suggested that there should not be a main effect for being multi-lingual. However, to control for this possibility, a 2-way (2x2) factorial ANOVA is being conducted to account for any influence from language, the treatment, and the interaction of the two main effects. To test the hypotheses, the research has obtained 28 participants: 14 English-only speakers and 14 students who speak English and at least one other language. From each group of 14, 7 students were randomly chosen for the treatment group. After the treatment, all students were given the same test. This test has been used in previous research, has a range of 0 to 100, and measures students' desire to exercise daily. (The higher the test score, the more positive the result.) Use a 2x2 ANOVA with a = 0.01 to test the the data and evaluate the hypotheses. Results are provided below for each group of students. Factor B: Treatment Control: Treatment: No Extra Work Extra time with Group 52.5 50.0 47.7 56.0 56.4 58.9 English only 40.5 61.7 30.3 62.1 50.0 70.9 49.1 50.1 Factor A: Languages 56.9 68.6 40.2 78.2 39.8 61.6 Multilingual 45.9 70.1 54.4 72.8 56.0 50.2 56.1 57.6
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