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)