Question

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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

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 (s_d) =

SE = s_d/

= 2.8093/

= 0.8470

Test statistic is given by:

t = 1.1745/0.8470

= 1.3866

So,

Answer is:

1.3866

milcah answered 5 months ago

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