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<>
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.
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<><>
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.