please answer all.... Scores /10 21. Chapter 11, Problems 22 A study showed that
ID: 3362256 • Letter: P
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please answer all....
Scores /10 21. Chapter 11, Problems 22 A study showed that students had more academic problems following nights with less than average sleep compared to nights with more than average sleep (Gillen-O'Neel, Huynh, & Fuligni, 2013). Suppose a researcher is attempting to replicate this study using a sample of n-8 college freshmen. Each student records the amount of study time and amount of sleep each night and reports the number of academic problems each day. The following data show the results from the study. Following Nights Following Nights with Above with Below Student Average Sleep Average Sleep 10 13 6 10 13 5 In the above data the participants with the highest scores in the more-sleep condition also had the highest scores in the less-sleep condition. Similarty, participants with the lowest scores in the first condition also had the lowest scores in the second condition. To construct the following data, the same data was used but the scores in treatment 2 were scrambled to eliminate the consistency of the individual differences Number of Academic Problems Following Nights Following Nights with Above with Below Student Average Sleep Average SleepExplanation / Answer
Result:
Part 1
S^2p = 12.00
S=1.73
t statistic=-1.15
Critical t= ±2.145
Fail to reject Ho. There is no significant difference.
Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference
0
Level of Significance
0.05
Population 1 Sample
Sample Size
8
Sample Mean
7
Sample Standard Deviation
3.11677489
Population 2 Sample
Sample Size
8
Sample Mean
9
Sample Standard Deviation
3.77964473
Intermediate Calculations
Population 1 Sample Degrees of Freedom
7
Population 2 Sample Degrees of Freedom
7
Total Degrees of Freedom
14
Pooled Variance
12.0000
Standard Error
1.7321
Difference in Sample Means
-2.0000
t Test Statistic
-1.1547
Two-Tail Test
Lower Critical Value
-2.1448
Upper Critical Value
2.1448
p-Value
0.2675
Do not reject the null hypothesis
Part2
variance = 3.71
standard error =0.68
t statistic=-2.94
Critical t= ±2.365
Reject Ho. There is a significant difference.
Paired t Test
Data
Hypothesized Mean Difference
0
Level of significance
0.05
Intermediate Calculations
Sample Size
8
DBar
-2.0000
Degrees of Freedom
7
SD
1.9272
Standard Error
0.6814
t Test Statistic
-2.9352
Two-Tail Test
Lower Critical Value
-2.3646
Upper Critical Value
2.3646
p-Value
0.0219
Reject the null hypothesis
Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference
0
Level of Significance
0.05
Population 1 Sample
Sample Size
8
Sample Mean
7
Sample Standard Deviation
3.11677489
Population 2 Sample
Sample Size
8
Sample Mean
9
Sample Standard Deviation
3.77964473
Intermediate Calculations
Population 1 Sample Degrees of Freedom
7
Population 2 Sample Degrees of Freedom
7
Total Degrees of Freedom
14
Pooled Variance
12.0000
Standard Error
1.7321
Difference in Sample Means
-2.0000
t Test Statistic
-1.1547
Two-Tail Test
Lower Critical Value
-2.1448
Upper Critical Value
2.1448
p-Value
0.2675
Do not reject the null hypothesis
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