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The paired data values for this test are    First Value Second Value -9.68 -9.89 -14.16...

The paired data values for this test are

  

First Value Second Value
-9.68 -9.89
-14.16 -12.11
-16.16 -8.24
-13.66 -17.15
-14.05 -14.28
-14.66 -12.69
-11.58 -11.69
-17.41 -15.27
-13.89 -12.18
-13.03 -13.63
-14.13 -12.36

There are 11 data pairs. In the test, subtract the First Value from the Second Value. Also,Δ0 = 0. Compute the test statistic t0

Solutions

Expert Solution

From the Table, the following Table is calculated:

First Value Second Value d = Second Value - First value
-9.68 -9.89 - 0.21
-14.16 -12.11 2.05
-16.16 -8.24 7.92
-13.66 -17.15 - 3.49
-14.05 -14.28 - 0.23
-14.66 -12.69 1.97
-11.58 -11.69 - 0.11
-17.41 -15.27 2.14
-13.89 -12.18 1.71
-13.03 -13.63 - 0.6
-14.13 -12.36 1.77

From the d = Second value - First value, the following statistics are calculated:

n = 11

= 12.92/11

= 1.1745

d (d - ) (d - )2
-0.21 -1.3845 1.9170
2.05 0.8755 0.7664
7.92 0.7455 45.5012
-3.49 -4.6645 21.7580
-0.23 -1.4045 1.9727
1.97 0.7955 0.6327
- 0.11 -1.2845 1.6501
2.14 0.9655 0.9321
1.71 0.5355 0.2867
-0.6 -1.7745 3.1490
1.77 0.5955 0.3545
Total = 78.9205

Standard deviation (sd) =

SE = sd/

= 2.8093/

= 0.8470

Test statistic is given by:

t = 1.1745/0.8470

= 1.3866

So,

Answer is:

1.3866

milcah answered 1 month ago
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