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edugen.wileyplus.com I Help 1 Contact Us I Log Ow Statistical Methods And Motivations ( STA296 Sof Kentucky Lock, Statistics: Unlocking the Power of Data, 2e, Custom WileyPLUS Course for University WileyPLUS: MyWileyPLUS ctice Assignment Gradebook ORION ment FULL SCREEN PRINTER VERSION BACK NEXT Your answer is partially correct. Try again Use a t-distribution to find a confidence interval for the difference in means 1-, using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d-x -x2 A 99% confidence interval for -2 using the paired data in the following table: Case Treatment 1 23 29 30 24 28 Treatment 2 17 31 24 21 21 Give the best estimate for -12, the margi n of error, and the confidence interval. Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places. best estimate-4 margin of error1.53 2.47 5.53 The 99% confidence interval is to LINK TO TEXT Version 4.24.2.4 I 2000-2017Johnwiley&Sons.ine; All Rights Reserved. A Division of John Wiley asons.inc. olicy

Explanation / Answer

Sample size n1= 5
Mean (x1): 26.8
Variance 1 (s^2): 9.7

STD1 3.11

Sample size: n2= 5

Mean (x 2): 22.8
Variance 2 (s^2): 27.2

STD2Sqrt (27.2)= 5.21

Critical value of t = 3.35

Margin of error = Critical value x Standard error of the statistic

=3.35* 1.36= 4.55
Pooled Variance
s2p = (SS1 + SS2) / (df1 + df2) = 36.82 / 8 = 4.6

Standard Error
s(M1 - M2) = ((s2p/n1) + (s2p/n2)) = ((4.6/5) + (4.6/5)) = 1.36

Confidence Interval
1 - 2 = (M1 - M2) ± ts(M1 - M2) = 4 ± (3.36 * 1.36) = 4 ± 4.552

1 - 2 = (M1 - M2) = 4, 99% CI [-0.552, 8.552].

You can be 99% confident that the difference between your two population means (1 - 2) lies between -0.552 and 8.552.

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