A certain brand of dry noodles contains a mixture of beet, spinach, carrot, and plain. A random sample of 200 dry noodles contained 47 beet noodles. (a) Construct a 95 percent confidence interval for the true proportion of beet noodles. (b) Check the normality assumption. Show your work. (c) Does the Very Quick Rule work well here? Explain. (d) What sample size would be needed to obtain an error of ± 0.04 with 90 percent confidence? (e) How might a manufacturer design a quality control program to monitor the proportions of each type of noodles so as to produce a consistent mix?
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