11.2.1 Suppose that you were interested in investigating the effect of a drug that is to be used in the treatment of patients who have glaucoma in both eyes. A comparison between the meanreduction in eye pressure for this drug and for a standard treatment is desired. Both treatments are applied directly to the eye.(a) Describe a reasonable method of collecting data that would result in paired samples.Gather a number of volunteers who suffer from glaucoma in both eyes. Measure the pressure in each eye of each participant before the treatments begin. For eachexperimental subject, randomly assign the treatments to each participant. Once the patients have applied the treatments for a fixed time, measure again the pressures in allthe eyes,and compare the mean reduction in pressure for the eyes that have received the new treatment with the mean reduction in pressure for those that have receivedthe standard treatment.Gather a number of volunteers who suffer from glaucoma in both eyes. Measure the pressure in each eye of each participant before the treatments begin. For eachexperimental subject, randomly assign the treatments to the eyes (so that one eye receives the standard treatment and the other receives the drug that is being evaluated).Once the patients have applied the treatments for a fixed time, measure again the pressures in all the eyes, and compare the mean reduction in pressure for the eyes thathave received the new treatment with the mean reduction in pressure for those that have received the standard treatment.(b) Describe a reasonable method of collecting data that would not result in paired samples.Gather a number of volunteers who suffer from glaucoma in both eyes. Measure the pressure in each eye of each participant before the treatments begin. For eachexperimental subject, randomly assign the treatments to each participant. Once the patients have applied the treatments for a fixed time, measure again the pressures in allthe eyes, and compare the mean reduction in pressure for the eyes that have received the new treatment with the mean reduction in pressure for those that have receivedthe standard treatment.Gather a number of volunteers who suffer from glaucoma in both eyes. Measure the pressure in each eye of each participant before the treatments begin. For eachexperimental subject, randomly assign the treatments to the eyes (so that one eye receives the standard treatment and the other receives the drug that is being evaluated).Once the patients have applied the treatments for a fixed time, measure again the pressures in all the eyes, and compare the mean reduction in pressure for the eyes thathave received the new treatment with the mean reduction in pressure for those that have received the standard treatment.(c) Would an experiment without paired samples be as informative as a paired experiment? Comment.The unpaired experiment would be just as informative as a paired experiment because a set of eyes belonging to one person are likely to vary as much as two eyes belongingto different people.The unpaired experiment would be more informative since a set of eyes are likely to be very similar, while the individual patients may have very different eyes.The unpaired experiment would be less informative since the the individual patients may have very different eyes, while a set of eyes are likely to be very similar.

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Paired test:A test that is said to compare the averages and the standard deviations of two groups…