Which of the following illustrates a statistically insignificant result for an i
ID: 2925999 • Letter: W
Question
Which of the following illustrates a statistically insignificant result for an independent-samples t test?
t(12) = 2.33, p = 0.03
t(19) = 2.33, p < 0.05
t(7) = 2.33, p > 0.05
t(24) = 2.33, p < 0.01
Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. They randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. Which statistical analysis would we perform to compare the two group means and answer the researchers' question?
single-sample t test
z test
independent-samples t test
paired-samples t test
A researcher reports a confidence interval for an independent-samples t test as [11.7, 14.82]. What was the difference between the two means observed by this researcher?
1.56
7.41
13.26
-3.12
a.t(12) = 2.33, p = 0.03
b.t(19) = 2.33, p < 0.05
c.t(7) = 2.33, p > 0.05
d.t(24) = 2.33, p < 0.01
Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. They randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. Which statistical analysis would we perform to compare the two group means and answer the researchers' question?
a.single-sample t test
b.z test
c.independent-samples t test
d.paired-samples t test
A researcher reports a confidence interval for an independent-samples t test as [11.7, 14.82]. What was the difference between the two means observed by this researcher?
a.1.56
b.7.41
c.13.26
d.-3.12
Explanation / Answer
a. Test is consider to be insignificant if p value > alpha
hence answer is c. t(7) = 2.33, p > 0.05
b. The paired sample t-test, sometimes called the dependent sample t-test, is a statistical procedure used to determine whether the mean difference between two sets of observations is zero. In a paired sample t-test, each subject or entity is measured twice, resulting in pairs of observations.
Here the given example is of paired observation
Hence answer is d. paired-samples t test
c. Here CI is [11.7, 14.82]
Which means UCI=mean+E=14.82
LCI=mean-E=11.7
Solving this equation we get 2 mean=26.52
Hence mean difference=13.26 and hence answer is c.
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