The data for a random sample of six paired observations are shown below. Pair Observation 1 Observation 2 1 1 3 2 2 4 3 3 5 4 4 6 5 5 7 6 6 8 a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate sd2. b. Calculate the standard deviations s12 and s22 of each column of observations. Then find pooled estimate of the variance sp2. c. Comparing sd2 and sp2, explain the benefit of a paired difference experiment.

The data for a random sample of six paired observations are shown below. Pair Observation 1 Observation 2 1 1 3 2 2 4 3 3 5 4 4 6 5 5 7 6 6 8 a. Calculate the difference between each pair of...

The data for a random sample of six paired observations are shown below.

Pair	Observation 1	Observation 2
1	1	3
2	2	4
3	3	5
4	4	6
5	5	7
6	6	8

a.	Calculate the difference between each pair of observations by subtracting observation 2 from

observation 1. Use the differences to calculate sd2.

b.	Calculate the standard deviations s12 and s22 of each column of observations. Then find

pooled estimate of the variance sp2.

c.	Comparing sd2 and sp2, explain the benefit of a paired difference experiment.

Jun 02, 2022

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