Perform a paired samples t test in order to evaluate whether or not the mean val

Question

Perform a paired samples t test in order to evaluate whether or not the mean value of X1 equals the mean value of X2 in the population. The critical t value for this test is:

D. Less than 0.001

A. 2.09 B. 0.32 C. 0.05

D. Less than 0.001

Student ID X1 X2 Gender 1 10 12 Male 2 57 38 Male 3 65 57 Male 4 23 8 Male 5 30 21 Male 6 25 25 Male 7 19 30 Male 8 70 73 Male 9 5 1 Male 10 38 63 Male 11 71 85 Female 12 56 73 Female 13 47 29 Female 14 33 45 Female 15 58 67 Female 16 27 36 Female 17 75 82 Female 18 45 28 Female 19 68 64 Female 20 59 62 Female

Explanation / Answer

from above option B. 0.32 is correct,

X1 X2 difference(d) 10 12 2 57 38 -19 65 57 -8 23 8 -15 30 21 -9 25 25 0 19 30 11 70 73 3 5 1 -4 38 63 25 71 85 14 56 73 17 47 29 -18 33 45 12 58 67 9 27 36 9 75 82 7 45 28 -17 68 64 -4 59 62 3 mean 0.900 std deviaition 12.4980 sample size 20.0000 std error= std dev/(n)^(1/2) 2.7946 t stat= (d)/std error 0.3220

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