A random sample of nine pairs of observations is recorded

Chapter 8, Problem 94SE

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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

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:

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