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Confidence Interval and Normality Assumption for Number of Unpopped Popcorn Kernels

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Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86.

a) Construct a 90% confidence interval for the proportion of all kernels that would not pop.
b) Check the normality assumption
c) Try the Very Quick Rule. Does it work well here? Why or why not?
d) Why might this sample not be typical?

Please show all steps.

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Solution Summary

Excel spreadsheet attached shows how to construct a 90% confidence interval, check normality assumption, execute the Very Quick Rule and decide if a sample is typical.

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