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.

Solutions

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

sd = 2.0817

SE = sd/

= 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)


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