You wish to test the following claim (H_a) at a significance level of alpha = 0.

Question

You wish to test the following claim (H_a) at a significance level of alpha = 0.005. For the context of this problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract. H_o: mu_d = 0 H_a: mu_d > 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 = 36 subjects. The average difference (post - pre) is d = 3 with a standard deviation of the differences of s_d = 30.3. a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... less than (or equal to) alpha greater than alpha d. This test statistic leads to a decision to... reject the null accept the null fail to reject the null e. 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.

Explanation / Answer

here std error =std deviation/(n)1/2 =5.05

a)hence test stat =d/std error =3/5.05=0.5940

b)p value for above at 35 degree if freedom =0.2781

c) greater then

d)fail to reject the null

e)option d is correct

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.