Question: There is conflicting information about whether a new medication affects a person's ability to concentrate as measured by time spent on a task. You wish
There is conflicting information about whether a new medication affects a person's ability to concentrate as measured by time spent on a task.
You wish to test the following claim (Ha) at a significance level of=0.001. For the context of this problem,d=21where the first data set represents a pre-test measure of time on task and the second data set represents a post-test measure of time on task.
Ho:d=0
Ha:d>0
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
pre-testpost-test59.571.867.583.665.378.969.479.559.249.947.659.381.8100.1
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to)
- greater than
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.
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