Homework: Inferences Based on Two Samples Score: 0 of 1 pt X*10.1.4 Save 50f 15

Question

Homework: Inferences Based on Two Samples Score: 0 of 1 pt X*10.1.4 Save 50f 15 (14 complete) Hw Score: 80%, 12 of 15 pts Question Help Assume that you have a sample of n -9, with the sample mean X 42, and a sample standard deviation of S, -4, and you have an independent sample of n2 - 14 from another population with a sample mean of X2 -37, and the sample standard deviation S2-8. Construct a 99% confidence interval estimate of the population d mean difference between 1 and 2. at Click here for page 1 of sentical values.oft ic Type an integer or decimal rounded to two decimal places as needed.) at Enter your answer in the edit fields and then cick Check Answer Clear All Check Arnswer All parts showing

Explanation / Answer

Degrees of freedom = (s12/n1 + s22/n2)2/[(s12/n1)2/(n1 - 1) + (s22/n2)2/(n2 - 1)]

= (42/9 + 82/14)2/((42/9)2/8 + (82/14)2/13)

= 20.13 = 20

At 99% confidence interval with 20 degrees of freedom the critical value t0.995,20 = 2.845

Confidence interval = (x1 - x2) + / - * t0.995, 20 * sqrt (s12/n 1 + s 22/n2)

= (42 - 37) +/- 2.845 * sqrt(42/9 + 82/14)

= 5 + /- 7.17

= -2.17, 12.17

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