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Name (Last name, First name): AT To receive full crewlit, your work should be ne

ID: 3312350 • Letter: N

Question

Name (Last name, First name): AT To receive full crewlit, your work should be neat, clenn, and organiaed tn the early 1530s, mevarchetrs in the UK collected uata on traffic acvident rolated everygency room aul- missions on Priday the 13th and the previous Friday, Friday the Gth The summary statistics are shown in the following table. You may assume that all conditions for infer- eace are statistied. 6th 13th diff ,7.5 40.83 3.33 5,s5MI5L~·4 sample stundard deviation 3.33 36 301 sample mean sample size >,- 2.3.35 al Calculate a g5% confidence interval for the difference between the average numbers of trafic accident related emergency room admissions between Friday the 6h and Friay the 13th Show work. Leave answers in two decimal places.

Explanation / Answer

1 - 2 = (M1 - M2) = 3.33, 95% CI [1.3351, 5.3249].

Calculation

Pooled Variance
s2p = (SS1 + SS2) / (df1 + df2) = 24.05 / 10 = 2.4

Standard Error
s(M1 - M2) = ((s2p/n1) + (s2p/n2)) = ((2.4/6) + (2.4/6)) = 0.9

Confidence Interval
1 - 2 = (M1 - M2) ± ts(M1 - M2) = 3.33 ± (2.23 * 0.9) = 3.33 ± 1.9949