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soda Asoft drink company is conducting research to select a new design for the can. A random sample of individuals have been selected to participate.

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soda Asoft drink company is conducting research to select a new design for the can. A random sample of individuals have been selected to participate. The company gave each participant the same soda twice, but one drink was served in a red can and the other was in a blue can. The order was chosen randomly. Participants were asked to rate each drink on a scale of 1 to 10. Thus the company wishes to test if the colour of the can can inuence the ratings. The ratings were recorded in the table below. Does this sample indicate that there is a difference in ratings? Assume a = 0.10 Let Md represent the population mean difference (red - blue) in the ratings. Rater Red Blue Difference (Red - Blue) 1 4 6 -2 2 7 5 2 3 3 6 -3 4 8 9 -1 5 5 2 3 6 9 9 O 7 7 10 -3 8 5 4 1 9 6 8 -2 10 9 7 2 11 8 8 0 12 3 7 -4 13 6 5 1 14 8 8 0 15 9 1o -1 16 7 6 1 Mean 6.5 6.875 -O.375 Standard deviation 2.03 2.22 2.03 1 point 9 Which of the following must we assume to conduct the appropriate hypothesis test? (select all that apply) CH3 DO The distribution of the differences of the ratings is Normally distributed. The distribution of the ratings for the red can and the distribution of the ratings for the blue can are each Normally distributed. n'pZIOandn-(lp)210 None of the above

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