# statistics

posted by Alfie

One of the ways most people relieve stress is to reward themselves with sweets. According

to one study in Food Technology, 46 percent admit to overeating sweet foods when

stressed. Suppose that the 46 percent figure is correct and that a random sample of 100

people is selected.

A. Does the distribution of, the sample proportion of people who relieve stress by

overeating sweet foods, have an approximately normal distribution? If so, what are its

mean and standard deviation?

B. What is the probability that the sample proportion, , exceeds 0.5?

C. What is the probability that lies within the interval 0.35 to 0.55?

D. What might you conclude if the sample proportion were as small as 30 percent?

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