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A health and wellness company is rolling out a new high-quality protein shake. The company is experimenting with two versions of the product, but they

A health and wellness company is rolling out a new high-quality protein shake. The company is experimenting with two versions of the product, but they only want to push one version to market. They sent out both versions to random sample of current customers for evaluation, rating, and pricing. The company recorded the maximum price each customer is willing to pay for each product. The results are recorded below. At the 1% significance level, determine if the customers priced the products differently.

  • From options #1 to #4 select the correct hypotheses for this test.
  • From options #5 to #8 select the correct p-value for this test.
  • From options #9 to #12 select the correct conclusion for this test.

Let Product A be population 1 and Product B be population 2. Complete the subtraction as population 1-population 2.

  1. H0:1-2=0

Ha:1-2>0

  1. H0:D=0

Ha:D>0

  1. H0:1-2=0

Ha:1-20

  1. H0:D=0

Ha:D0

  1. 0.0061
  2. 0.0031
  3. 0.0368
  4. 0.0491
  5. There is no difference in the prices
  6. Based on the samples there is enough evidence to conclude that the customers priced the products differently.
  7. Based on the samples there is not enough evidence to conclude that the customers priced the products differently.
  8. There is a difference in the prices.

Customer

Product A

Product B

1

19

16

2

18

16

3

11

15

4

13

17

5

18

16

6

11

12

7

18

16

8

17

15

9

19

16

10

18

20

11

17

15

12

15

14

13

19

15

14

16

18

15

13

11

16

17

14

17

20

19

18

16

16

19

20

19

20

10

14

21

18

19

22

14

11

23

17

14

24

17

14

25

16

13

26

19

15

27

16

11

28

16

10

29

15

13

30

16

13

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