A sample of difference scores from a repeated-measures experiment has a mean of Mp = 4 with a standard deviation of s = 6. If n = 9, is this sample sufficient to reject the null hypothesis using a two-tailed test with a = .05? t Distribution Degrees of Freedom = 19

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Question
A sample of difference scores from a repeated-measures experiment has a mean of MD
4 with a standard deviation of s = 6.
If n =
9, is this sample sufficient to reject the null hypothesis using a two-tailed test with a = .05?
t Distribution
Degrees of Freedom = 19
A AA
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
t
t-critical
t
The results indicate:
Transcribed Image Text:A sample of difference scores from a repeated-measures experiment has a mean of MD 4 with a standard deviation of s = 6. If n = 9, is this sample sufficient to reject the null hypothesis using a two-tailed test with a = .05? t Distribution Degrees of Freedom = 19 A AA -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 t t-critical t The results indicate:
Failure to reject the null hypothesis; there is no significant mean difference
Failure to reject the null hypothesis; there is a significant mean difference
Rejection of the null hypothesis; there is no significant mean difference
Rejection of the null hypothesis; there is a significant mean difference
Would you reject Ho if n = 36? Again, assume a two-tailed test with a = .05.
t-critical
The results indicate:
Failure to reject the null hypothesis; there is a significant mean difference
Failure to reject the null hypothesis; there is no significant mean difference
Rejection of the null hypothesis; there is a significant mean difference
Rejection of the null hypothesis; there is no significant mean difference
Explain how the size of the sample influences the likelihood of finding a significant mean difference.
The sample size does not influence the likelihood of finding a significant mean difference.
The smaller the sample size, the greater the likelihood of finding a significant mean difference.
The larger the sample size, the greater the likelihood of finding a significant mean difference.
The larger the sample size, the smaller the likelihood of finding a significant mean difference.
Transcribed Image Text:Failure to reject the null hypothesis; there is no significant mean difference Failure to reject the null hypothesis; there is a significant mean difference Rejection of the null hypothesis; there is no significant mean difference Rejection of the null hypothesis; there is a significant mean difference Would you reject Ho if n = 36? Again, assume a two-tailed test with a = .05. t-critical The results indicate: Failure to reject the null hypothesis; there is a significant mean difference Failure to reject the null hypothesis; there is no significant mean difference Rejection of the null hypothesis; there is a significant mean difference Rejection of the null hypothesis; there is no significant mean difference Explain how the size of the sample influences the likelihood of finding a significant mean difference. The sample size does not influence the likelihood of finding a significant mean difference. The smaller the sample size, the greater the likelihood of finding a significant mean difference. The larger the sample size, the greater the likelihood of finding a significant mean difference. The larger the sample size, the smaller the likelihood of finding a significant mean difference.
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