The following two samples were collected as matched pairs. Complete parts (a) th

Question

The following two samples were collected as matched pairs. Complete parts (a) through (d) below. a. State the null and alternative hypotheses to test if a difference in means exists between the populations represented 2, where mu_d = mu_1 - mu_2. Choose the correct answer below. A. H_0: mu_d = 0 H_1: mu_d notequalto 0 C. H_0: mu_d lessthanorequalto 0 H_1: mu_d > 0 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using alpha = 0.01. The test statistic is (Round to two decimal places as needed.)

Explanation / Answer

a. Null HYpothesis : H0 : 1 - 2 = d= 0

ALternative Hypothesis : Ha : 1 - 2 = d 0

Option A

Here it is the difference table

First we will find average of differences xd= 20/7 = 2.857

Test statistic

t = xd / (s/n) = 2.857/ (1.3452/7) = 5.619

so here critical t - value = 31.14

so t > tcritical

so we will reject the null hypothesis and conclude that there is significant difference between both sample means.

Pair Sample 1 Sample 2 d 1 6 4 2 2 7 4 3 3 9 4 5 4 5 4 1 5 7 5 2 6 7 4 3 7 9 5 4 sum 20 std. dev. 1.3452

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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