File Edit View History Bookmarks Develop Window Help BQA3123-02, TTh 1230, Fail

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File Edit View History Bookmarks Develop Window Help BQA3123-02, TTh 1230, Fail 2017 Homework: Section 8.3 HW-Two matched/dep. samples Score: 2 of 11 pts 3 of 5 (3 complete) MN Score: 35%. 8.3.29 Questo The data for a random sample of 8 paired observations are Pair shown in the table to the right. a. What are the appropriate null and alternative hypotheses for population 1? c. Find a 90% confidence interval Ho. Interpret this d. What assumptions are necessary to ensure the validity 8 39 46 51 to test whether the mean for population 2 is larger than that r t. Conduct the test identfied in part a using -0.10. se result T of this analysis? 18 60 53 30 35 Calculate the test statistic. t = (Round to three decimal pads as needed.) Enter your answer in the answer box and then click Check Answer. Check Ans Clear All remaining OK 6

Explanation / Answer

a. Null Hypothesis : 2 -1 = d = 0 (mean for population1 is same as mean of population 2)

Alternative Hypothesis : 2 -1= d > 0 (mean for population 2 is greater than mean of population 2)

(b) Here significance level alpha = 0.10

We will use paired test for means

The Paired data table is

Here sample difference of two means xd= 4.625

Sample standard deviation sd = 2.200

Test statistic

t = (xd )/ (sd / sqrt(n) = 4.625 / (2.200 / sqrt(8)) = 4.625/ 0.7778 = 5.946

c. The 90% confidence interval = xd +- t0.10,7 (sd / sqrt(n)

= 4.625 +- 1.895 * (2.2/ sqrt(8))

= 4.625 +- 1.474

= (3.151, 6.099)

d. Assumptions :

(i) data set are randomly taken.

(ii) Normaly distibuted.

Pair Population1 Population2 d 1 41 48 7 2 39 46 7 3 46 51 5 4 18 20 2 5 60 66 6 6 49 53 4 7 43 44 1 8 30 35 5 Sum 37 Average 4.625 Std. Dev 2.200

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