You wish to test the following claim (H1H1) at a significance level of α=0.10. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 H1:μd<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-test post-test 62.7 54.4 46.6 35.1 30.7 22.4 55.9 59 29.3 17.8 59.4 38.9 58.2 24.7 72.4 43.6 80.3 59.4 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 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 less than 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0. The sample data support the claim that the mean difference of post-test from pre-test is less than 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.
You wish to test the following claim (H1H1) at a significance level of α=0.10. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test.
Ho:μd=0
H1:μd<0
You believe the population of difference scores is
| pre-test | post-test |
|---|---|
| 62.7 | 54.4 |
| 46.6 | 35.1 |
| 30.7 | 22.4 |
| 55.9 | 59 |
| 29.3 | 17.8 |
| 59.4 | 38.9 |
| 58.2 | 24.7 |
| 72.4 | 43.6 |
| 80.3 | 59.4 |
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
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 less than 0. - There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is less than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.
2. You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01. For the context of this problem, d=x2−x1d=x2-x1 where the first data set represents a pre-test and the second data set represents a post-test.
Ho:μd=0Ho:μd=0
H1:μd<0H1: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=211n=211 subjects. The average difference (post - pre) is ¯d=−7.5d¯=-7.5 with a standard deviation of the differences of sd=36.5sd=36.5.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the P-value for this test? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)
P-value =
The P-value is...
- less than (or equal to) αα
- greater than αα
This P-value 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 less than 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is less than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.
PLEASE ANSWR I DONT HAVE MANY QUESTIONS LEFT AND HOMEWORK IS DUE SOON.
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