Question

In: Statistics and Probability

Elements 1-7 for Sample 1 are 11 7 9 12 13 15 15. Elements 1-7 for...

Elements 1-7 for Sample 1 are 11 7 9 12 13 15 15. Elements 1-7 for Sample 2 are 8 8 6 7 10 15 14.Construct a 95% conf.interval for the mean of the paired sample differences.

Expert Solution

Sample 1 (X) Sample 2 (Y) d = X - Y

11 8 3

7 8 - 1

9 6 3

12 7 5

13 10 3

15 15 0

15 14 1

From the values of d, the following statistics are calculated:

n = 7

= 14/7 = 2

s_d = 2.0817

SE = s_d/

= 2.0817/ = 0.7868

ndf = 7 - 1 = 6

= 0.05

From Table, critical values of t = 2.4469

Confidence intervaL;

t SE

= 2 (2.4469 X 0.7868)

= 2 1.9252

= (0.0748 , 3.9252)

orchestra answered 2 years ago

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