Question
In: Statistics and Probability
DATA SET 2 The following data were obtained from a research study comparing two treatment conditions....
DATA SET 2
The following data were obtained from a research study comparing two treatment conditions. Analyze this data to determine whether you will reject or fail to reject the null hypothesis based upon your results. Two-tailed test. Alpha = .05 (Please show work)
| Treatment 1 | Treatment 2 |
| 10 | 7 |
| 8 | 4 |
| 7 | 9 |
| 9 | 3 |
| 13 | 7 |
| 7 | 6 |
| 6 | 10 |
| 12 | 2 |
Solutions
Expert Solution
n1 = 8
= 9
s1 = 2.5071
n2 = 8
= 6
s2 = 2.8284
The null and alternative hypothesis is
For doing this test first we have to check the two groups have population variances are equal or not.
Null and alternative hypothesis is
Test statistic is
F = largest sample variance / Smallest sample variances
F = 2.8284^2 / 2.5071^2 = 1.27
Degrees of freedom => n1 - 1 , n2 - 1 => 8 - 1 , 8 - 1 => 7 , 7
Critical value = 3.787 ( Using f table)
Critical value > test statistic so we fail to reject null hypothesis.
Conclusion: The population variances are equal.
So we have to use here pooled variance.
Test statistic is
Degrees of freedom = n1 + n2 - 2 = 8 + 8 - 2 = 14
Critical value = 2.145 ( Using t table)
| t | > critical value we reject null hypothesis.
orchestra answered 1 year agoRelated Solutions
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The following data were obtained from an independent-measures
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I
II
III
n = 6
n = 4
n =
4
M = 2
M = 2.5
M = 5
N = 14
T = 12
T = 10
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G = 42
SS = 14
SS = 9
SS = 10
ΣX2tot = 182
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(Chapter 14) The following data were obtained from a
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conducting a hypothesis test!!):
Person
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Treatment 2
Treatment 3
Person Totals
A
0
2
4
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N=15
B
0
3
6
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C
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7
8
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D
0
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5
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7
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1) The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment...
1) The following data represent the results from an
independent-measures study comparing two treatment conditions.
Treatment
One
Treatment
Two
3
3.1
4.5
4.5
4.8
4.5
4.5
3.9
6.5
3.9
4.3
3.8
3.7
3.4
Run the single-factor ANOVA for this data:
F-ratio:
p-value:
Now, run the t test on the same data:
t-statistic:
p-value:
2) Google Sheets can be used to find the critical value for an F
distribution for a given significance level. For example, to find
the critical value...
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment One...
The following data represent the results from an
independent-measures study comparing two treatment conditions.
Treatment
One
Treatment
Two
2.5
1.7
3.9
4.5
4.3
3.2
4.6
2.9
2.9
3.2
5.1
3.8
4.2
2.3
Using technology, run the One-way ANOVA Test for this data:
F-ratio:
p-value:
Now, run the Two Independent Sample t test on the same
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Note: Do this with "pooled variances" since one assumption we
make with ANOVA is that the variances for each group are
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t-statistic:
p-value:
The following data represent the results of an independent-measures study comparing two treatment conditions. Treatment One...
The following data represent the results of an
independent-measures study comparing two treatment conditions.
Treatment
One
Treatment
Two
3.3
2.6
5
4.4
3.6
3.3
5.4
6
6.2
2.8
5.4
5.1
4.3
2.6
4.6
2.5
Run the single-factor ANOVA for this data:
F-ratio:
p-value:
Now, run the t test on the same data:
t-statistic:
p-value:
The following scores are from an independent-measures study comparing two treatment conditions. (Be sure to include...
The following scores are from an independent-measures study
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a. Use an independent -measures t-test with a = 0.05 to
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b. Use an ANOVA with a = 0.05 to determine whether there is a
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10
7
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10
11
2
5
1
2
15
18
7
9
M = 7
M = 9
SS = 134
SS = 150
Assume that the data are from a
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The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an...
The following data represent the results from an
independent-measures experiment comparing three treatment
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determine whether these data are sufficient to conclude that there
are significant differences between the treatments.
Treatment A
Treatment B
Treatment C
5
4
13
5
5
7
5
9
10
6
6
11
4
6
9
F-ratio =
p-value =
Conclusion:
These data do not provide evidence of a difference between the
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There is a significant...
The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an...
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Treatment A
Treatment B
Treatment C
22
24
26
20
21
24
21
23
27
22
22
28
20
20
25
F-ratio = _______________
p-value = ______________
Conclusion:
___These data do not provide evidence of a difference between
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___There is...
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