Question

In: Statistics and Probability

1. A taste-testing experiment has been designed so that four brands of Colombian coffee are to...

1. A taste-testing experiment has been designed so that four brands of Colombian coffee are to be rated by nine experts. To avoid any carryover effects, the tasting sequence for the four brews is randomly determined for each of the nine expert tasters until a rating on a 7-point scale (1=extremely unpleasing, 7=extremely pleasing) is given for each of the following four characteristics: taste, aroma, richness, and acidity. The following table displays the summated ratings-accumulated over all four characteristics.

BRAND

Expert

A

B

C

D

C.C.

24

26

25

22

S.E.

27

27

26

24

E.G.

19

22

20

16

B.L.

24

27

25

23

C.M.

22

25

22

21

C.N.

26

27

24

24

G.N.

27

26

22

23

R.M.

25

27

24

21

P.V.

22

23

20

19

  1. State a null and alternative hypothesis to determine if a difference exists between four different brands for a parametric and a nonparametric test.
  2. Check the necessary conditions.
  3. Give your conclusion from both tests and a final conclusion. Use .

2. Suppose a company is looking at the time between computer failures in 3 different locations. The data are given below:

Location

1

2

3

105

76

183

3

43

144

90

1

219

217

37

76

22

14

39

  1. Test for Normality
  2. State a null and alternative hypothesis to determine if a difference exists between three different locations for a parametric and a nonparametric test.
  3. Give your conclusion from both tests and a final conclusion. Use .

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