Brian Wansink, author of the popular book Mindless Eating, conducts research int

Question

Brian Wansink, author of the popular book Mindless Eating, conducts research into factors that influence people to eat without conscious regard for how much they are eating. One of his studies involved a sample of 20 undergraduates from the University of Illinois at Urbana-Champaign. Particiants were allowed to take as many M&M candies as they wished from a 24-ounce bowl for consumption during a lab study session that day. After they selected the M&Ms individually, the researcher determined how many M&Ms each person had selected (www.MindlessEating.org). The informal 80 % confidence interval estimate for the population mean number of M&Ms that would be chosen among all undergraduates who might have participated in this study is (41.34, 58.96)

a) The 80% confidence interval is (41.15, 59.15). Nine of the sample values fall within 80% confidence interval, is it close to 80%?

The percentage is ____________%

Explanation / Answer

9 out of 20 undergraduates fall within the 80% confidence interval but this is far away from the 80% mark which is the expectation.

The percentage here is computed as 9/20 = 45% of the observations which lies within the given confidence interval.

The percentage is 45% and it is not close to 80%.

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