Question

In: Statistics and Probability

6. Researchers obtained a sample of 36 college students who all have the same history instructor...

6. Researchers obtained a sample of 36 college students who all have the same history instructor this semester. Half of the students were shown a 2-min video that claimed the purpose of education was to help students “learn how to learn” so that they can enjoy a lifetime of learning after college. The other half of students were shown a 2-min video that claimed the purpose of education was to teach facts to students. After watching the 2-min videos, the students were asked to rate their history instructor using a 10-point scale, 1 = very bad teacher to 10 = very good teacher. The mean and standard deviations for each group of 18 students are provided below. Use the provided information to answer the next four questions. Use an α of .05, two tailed.

“learn to learn” Group 1: M1 = 5.9, SD1 = 1.8, n1 = 18

“learn facts” Group 2: M2 = 7.2, SD2 = 1.7, n2 = 18

Compute the independent t-test

a.

-1.27

b.

-2.17

c.

-2.24

d.

-3.07

e.

-0.58

f.

-0.74

g.

-0.34

7. Researchers obtained a sample of 36 college students who all have the same history instructor this semester. Half of the students were shown a 2-min video that claimed the purpose of education was to help students “learn how to learn” so that they can enjoy a lifetime of learning after college. The other half of students were shown a 2-min video that claimed the purpose of education was to teach facts to students. After watching the 2-min videos, the students were asked to rate their history instructor using a 10-point scale, 1 = very bad teacher to 10 = very good teacher. The mean and standard deviations for each group of 18 students are provided below. Use the provided information to answer the next four questions. Use an α of .05, two tailed.

“learn to learn” Group 1: M1 = 5.9, SD1 = 1.8, n1 = 18

“learn facts” Group 2: M2 = 7.2, SD2 = 1.7, n2 = 18

The researchers in this study should:

a.

reject the null hypothesis

b.

fail to reject the null hypothesis

8. Researchers obtained a sample of 36 college students who all have the same history instructor this semester. Half of the students were shown a 2-min video that claimed the purpose of education was to help students “learn how to learn” so that they can enjoy a lifetime of learning after college. other half of students were shown a 2-min video that claimed the purpose of education was to teach facts to students. After watching the 2-min videos, the students were asked to rate their history instructor using a 10-point scale, 1 = very bad teacher to 10 = very good teacher. The mean and standard deviations for each group of 18 students are provided below. Use the provided information to answer the next four questions. Use an α of .05, two tailed.

“learn to learn” Group 1: M1 = 5.9, SD1 = 1.8, n1 = 18

“learn facts” Group 2: M2 = 7.2, SD2 = 1.7, n2 = 18

Compute the effect size of this study.

a.

6.13

b.

4.93

c.

2.04

d.

3.07

e.

.058

f.

0.74

g.

0.34

9. Researchers obtained a sample of 36 college students who all have the same history instructor this semester. Half of the students were shown a 2-min video that claimed the purpose of education was to help students “learn how to learn” so that they can enjoy a lifetime of learning after college. The other half of students were shown a 2-min video that claimed the purpose of education was to teach facts to students. After watching the 2-min videos, the students were asked to rate their history instructor using a 10-point scale, 1 = very bad teacher to 10 = very good teacher. The mean and standard deviations for each group of 18 students are provided below. Use the provided information to answer the next four questions. Use an α of .05, two tailed.

“learn to learn” Group 1: M1 = 5.9, SD1 = 1.8, n1 = 18

“learn facts” Group 2: M2 = 7.2, SD2 = 1.7, n2 = 18

How large is the effect size?

a.

small

b.

small-medium

c.

medium

d.

medium-large

e.

large

10. Researchers obtained a sample of 36 college students who all have the same history instructor this semester. Half of the students were shown a 2-min video that claimed the purpose of education was to help students “learn how to learn” so that they can enjoy a lifetime of learning after college. The other half of students were shown a 2-min video that claimed the purpose of education was to teach facts to students. After watching the 2-min videos, the students were asked to rate their history instructor using a 10-point scale, 1 = very bad teacher to 10 = very good teacher. The mean and standard deviations for each group of 18 students are provided below. Use the provided information to answer the next four questions. Use an α of .05, two tailed.

“learn to learn” Group 1: M1 = 5.9, SD1 = 1.8, n1 = 18

“learn facts” Group 2: M2 = 7.2, SD2 = 1.7, n2 = 18

Compute 95% CI for the mean difference between the “learn how to learn” and “teach facts” groups.

a.

[−2.49, −0.11]

b.

[−2.06, 0.54]

c.

[−2.29, −0.31]

d.

[0, 2.60]

e.

[−3.38, −0.77]

Solutions

Expert Solution

6) t= 0.584

7) H0 is rejected

8) effect size = 0.74

9) effect size = large

10) ci is ( -2.45 , -0.11)


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