In: Statistics and Probability
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] |
6) t= 0.584
7) H0 is rejected
8) effect size = 0.74
9) effect size = large
10) ci is ( -2.45 , -0.11)