Problem 5 score :096 The following two samples were obtained from two normal pop

Question

Problem 5 score :096 The following two samples were obtained from two normal populations: sample X: 135, 129, 128, 54, 129, 101, 98, 115, 122, 90, 83, 115 sample Y: 67, 75, 78, 67, 139, 84, 31, 40, 43, 50, 65, 53 1. Assuming the populations are independent find the two-sided 90% confidence interval for the difference of the population means z (1 point) find the lower 90% confidence bound for the difference of the population means Hy (1 point) (use the formula k min (nz, n.)-1 for the number of degrees of freedom). 2. Assuming the samples were obtained in a matched pairs experiment (so that element ci was paired with element yi) find the two-sided 96% confidence interval for the difference of the population means (1 point) find the upper 96% confidence bound for the difference of the population means&z-;y (1 point) Submit You have 3 tries left

Explanation / Answer

1)

Two sided 90% CI = (23.0712 , 61.4288 )

Lower bound = 23.0712

#2.

96% CI = (20.709 , 63.791 )

Upper bound = 63.791

x1(bar) 108.25 x2(bar) 66.00 s1 23.97 s2 28.18 n1 12 n2 12 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 47.8655 (s22/n2) 66.1818 SE 10.6793

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