#2. A study found that 16 of 40 peanut candy bars in fact did not contain peanuts. (a) Construct a 90\% confidence interval. (b) Interpret your 90\% confidence interval. (c) Construct a 95\% confidence interval. (d) Interpret your 95\% confidence interval.
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This means that the sample proportion of peanut candy bars that did not contain peanuts is $\hat{p} = \frac{16}{40} = 0.4$. Show more…
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on page 218 , instead of testing a hypothesis, you might prefer to construct a confidence interval for the mean weight of all 2 -pound boxes of candy during a recent production shift. (a) Given a population standard deviation of .30 ounce and a sample mean weight of 33.09 ounces for a random sample of 36 candy boxes, construct a 95 percent confidence interval. (b) Interpret this interval, given the manufacturer's desire to produce boxes of candy that, on the average, exceed 32 ounces.
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