In: Statistics and Probability
EXPERIMENT ONE
On a standard test of attention span in children, Dr. Niederjohn wants to know whether attention span is different in children who play video games extensively. He selects a sample of children who regularly play video games and those who do not and obtains the following attention-span data:
Video |
No Video |
23 |
19 |
19 |
17 |
28 |
24 |
21 |
21 |
24 |
27 |
27 |
21 |
28 |
23 |
23 |
18 |
25 |
19 |
23 |
22 |
1. Give the M and SD for each group:
Video |
No Video |
|
M (Experiment 1) |
24.1 |
21.1 |
SD (Experiment 1) |
2.961 |
3.035 |
2. Using SPSS compute the appropriate test. Paste SPSS output here.
t-Test: Two-Sample |
||
Video |
No Video |
|
Mean |
24.1 |
21.1 |
Variance |
8.766667 |
9.211111 |
Observations |
10 |
10 |
Hypothesized Mean Difference |
0 |
|
df |
18 |
|
t Stat |
2.23745 |
|
P(T<=t) one-tail |
0.019072 |
|
t Critical one-tail |
1.734064 |
|
P(T<=t) two-tail |
0.038144 |
|
t Critical two-tail |
2.100922 |
EXPERIMENT TWO
Dr. Marek wants to replicate the previous study. She selects a different sample of children who regularly play video games and those who do not and obtains the following attention-span data:
Video |
No Video |
20 |
16 |
19 |
20 |
31 |
24 |
18 |
21 |
24 |
27 |
27 |
21 |
31 |
23 |
23 |
21 |
25 |
16 |
23 |
22 |
3. Give the Mand SDfor each group:
Video |
No Video |
|
M (Experiment 2) |
24.1 |
21.1 |
SD (Experiment 2) |
4.56 |
3.35 |
4. The difference between the means in experiment 1 is the same asthe difference between the means in experiment 2.
5. The variability in experiment 1 is less thanthe variability in experiment 2.
6a. Given your answer to numbers 4 and 5, the results of EXPERIMENT TWOare less likely
to be significant compared to the results of EXPERIMENT ONE?
6b. Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 4 and 5? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.
7. Using SPSS compute the appropriate test. Paste SPSS output here.
With alpha set at .05, write a conclusion of the findings.
Be sure to report the appropriate statistic in APA style.
EXPERIMENT THREE
Dr. Ziegler wants to replicate the previous study once again. She selects a different sample of children who regularly play video games and those who do not and obtains the following attention-span data:
Video |
No Video |
25 |
21 |
21 |
19 |
30 |
26 |
23 |
23 |
26 |
29 |
29 |
23 |
30 |
25 |
25 |
20 |
27 |
21 |
25 |
24 |
8. Give the Mand SDfor each group.
Video |
No Video |
|
M (Experiment 3) |
||
SD (Experiment 3) |
9. The difference between the means in experiment 1 is _________ the difference between the means in experiment 3.
less than
greater than
the same as
10. The variability in experiment 1 is _________ the variability in experiment 3.
less than
greater than
the same as
11a. Given your answer to numbers 9 and 10, the results of EXPERIMENT THREEare _________ to be significant compared to the results of EXPERIMENT ONE?
a.less likely
b.more likely
c.equally likely
11b. Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 9 and 10? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.
12. The difference between the means in experiment 2 is _________ the difference between the means in experiment 3.
less than
greater than
the same as
13. The variability in experiment 2 is _________ the variability in experiment 3.
less than
greater than
the same as
14a. Given your answer to numbers 12 and 13, the results of EXPERIMENT THREEare _________ to be significant compared to the results of EXPERIMENT TWO?
a.less likely
b.more likely
c.equally likely
14b. Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 12 and 13? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.
15. Using SPSS compute the appropriate test. Paste SPSS output here.
With alpha set at .05, write a conclusion of the findings.
Be sure to report the appropriate statistic in APA style.
Experiment 3:
t-Test: Two-Sample Assuming Equal Variances | ||
Video | No Video | |
Mean | 26.1 | 23.1 |
Variance | 8.76666667 | 9.21111111 |
Observations | 10 | 10 |
Pooled Variance | 8.98888889 | |
Hypothesized Mean Difference | 0 | |
df | 18 | |
t Stat | 2.23744955 | |
P(T<=t) one-tail | 0.01907192 | |
t Critical one-tail | 1.73406361 | |
P(T<=t) two-tail | 0.03814383 | |
t Critical two-tail | 2.10092204 |
Video | No Video | |
M (Experiment 2) | 26.1 | 23.1 |
SD (Experiment 2) | 2.96 | 3.03 |
The difference between the means in experiment 1 is ___the same______ the difference between the means in experiment 3.
The variability in experiment 1 is _the same as________ the variability in experiment 3.
Given your answer to numbers 9 and 10, the results of EXPERIMENT THREEare __more likely_______ to be significant compared to the results of EXPERIMENT ONE?
Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 9 and 10? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.
Numerator which is difference of means is equal in both the experiemnts. Denominator which is variablity is also same in both experiments. So the results are also more likely to be same