A soft drink company is conducting research to select a new design for their can. A sample of 9 participants has been selected. Instead of a typical taste test with two different sodas, they give each participant the same soda twice. One drink is served in a predominantly red can, the other in a predominantly blue can. The order the two cans are used is chosen randomly. Participants are asked to rate each drink on a scale of 1 to 10. The mean difference between the rating of the red and blue can for the 9 participants is -0.56 with standard deviation 2.19. Researchers would like to determine whether or not the mean difference in ratings between the red and blue cans is 0. Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem. Does this sample indicate that there is a difference in the ratings? Test an appropriate hypothesis and state your conclusion.
Rater Red Blue
1 4 6
2 7 5
3 3 6
4 8 9
5 5 2
6 9 9
7 7 1
8 5 4
9 9 6
10 9 7
11 8 8
12 3 7
13 6 5
14 8 8
15 9 1
16 7 6
A) What type of statistical testing procedure is appropriate here?
B) Formulate an appropriate null and alternative hypothesis: Но: На:
C) Compute a test statistic.
D) Find the P-Value. (Show how you got the P-Value, what function did you use?)
E) Make conclusion with context.