Question

In: Statistics and Probability

A pupillometer is a device used to observe changes in an individual’s pupil dilations as he...

A pupillometer is a device used to observe changes in an individual’s pupil dilations as he or she is exposed to different visual stimuli. The Design and Market Research Laboratories of the Container Corporation of America used a pupillometer to evaluate consumer reaction to different silverware patterns for one of its clients. Suppose 15 consumers were chosen at random, and each was shown two different silverware patterns, and their pupil diameters recorded (mm). A sample of data looks like:

Consumer

Pattern 1

Pattern 2

1

1.00

0.80

2

0.97

0.66

3

1.45

1.22

.

.

.

.

.

.

.

.

.

  Is there sufficient evidence to indicate that there is a mean difference in the consumers’ reactions to the two silverware patterns? Test at  = 0.05. Output is below.

Show all five steps.  As always, show work when calculations are necessary. Go out at least four decimal places if there are many significant digits.

  

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