You wish to test the following claim (Ha) at a significance level of α=0.05. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha:μd<0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=12 subjects. The average difference (post - pre) is ¯d=−52.7 with a standard deviation of the differences of sd=44.5. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null
You wish to test the following claim (Ha) at a significance level of α=0.05. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test.
Ho:μd=0
Ha:μd<0
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=12 subjects. The average difference (post - pre) is ¯d=−52.7 with a standard deviation of the differences of sd=44.5.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
- in the critical region
- not in the critical region
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
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