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A random sample of nine pairs of observations is recorded
Chapter 8, Problem 94SE(choose chapter or problem)
Problem 94SE
A random sample of nine pairs of observations is recorded on two variables x and y . The data are shown in the following table and saved in the LM7_119 file. Do the data provide sufficient evidence to indicate that the probability distribution for x is shifted to the right of that for y? Test, using α = .05.
Pair |
x |
y |
1 2 3 4 5 6 7 8 9 |
19 27 15 35 13 29 16 22 16 |
12 19 7 25 11 10 16 10 18 |
Questions & Answers
QUESTION:
Problem 94SE
A random sample of nine pairs of observations is recorded on two variables x and y . The data are shown in the following table and saved in the LM7_119 file. Do the data provide sufficient evidence to indicate that the probability distribution for x is shifted to the right of that for y? Test, using α = .05.
Pair |
x |
y |
1 2 3 4 5 6 7 8 9 |
19 27 15 35 13 29 16 22 16 |
12 19 7 25 11 10 16 10 18 |
ANSWER:
Step 1 of 4
A random sample of five pairs of observations were selected, one of each pair from a population with and other with mean .
From the given data:
= 5
Value from population 1 |
Value from population 2 |
|
|
28 |
22 |
6 |
36 |
31 |
27 |
4 |
16 |
24 |
20 |
4 |
16 |
30 |
27 |
3 |
9 |
22 |
20 |
2 |
4 |
|
|
The mean and variance of the difference of two populations is shown below: