Question

Data sets A and B are dependent. Find the test statistic.

Assume that the paired data came from a population that is normally distributed.

Answer 1

39)

Calculate the difference of means by subtracting each respective element from both data s X01 - XO2 = 6.1 - 8.5 = -2.4 x11 - X12 = 7.1 - 7.4 = -0.3 x21 - X22 = 9.0 - 7.3 = 1.7 X31 - X32 = 6 - 7.2 = -1.2 X41 - x42 = 6.1 - 8.6 = -2.5 We then add our of our differences of mean and divide by the number of items in the data s d = Ex1 - x2 n d = -2.4 +-0.3 + 1.7 + -1.2 + -2.5 5 d = -4.7 5 d = -0.94 Calculate the sample variance s? by adding the sum of squared differences from the mean d = (-2.4--0.94)2 = -1.462 = 2.1316 d = (-0.3 --0.94)2 = 0.642 = 0.4096 d = (1.7--0.94)2 = 2.642 = 6.9696 d = (-1.2--0.94)2 = -0.262 = 0.0676 d = (-2.5--0.94)2 = -1.562 = 2.4336 s2 = Sum of Squared Differences n-1 S2 = 2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336 4 S2 = 12.012 4 s2 = 3.003 Now calculate the sample standard deviation s: S=vS2 S = 73.003 s = 1.7329166165745

= d Sa/Vn 1.7329166165745/15 = -0.94 = -0.94 7 1.7329166165745/2.236067977499

test statistic is

1.212928

1.212

option second is correct.

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