1. The owner of a fast food restaurant keeps records of the daily hamburger demand, which is Normally Distributed with a mean of 260 pounds and a standard deviation of 20 pounds.
Address parts (a) and (b). For values obtained by using a statistics function on the TI-84 calculator function, specify the function's name and the specific numerical entries used. Report each of the values requested in parts (a) and (b) with at least five digits after the decimal point. [A trial-and-error, guess-and-check approach will not receive credit.]
(a) What percent of days will the owner need more than 320 pounds of hamburger?
(b) The owner does not want to run out of meat more than 1% of days. How many pounds should she order every day?
2. Heights in inches were recorded for a sample of men and a sample of women. The following boxplots were created.
Estimate the percentage of male heights that are greater than the tallest female using the information in the boxplots. Explain.
3. The weights of small bags of potato chips are Normally distributed with standard deviation 0.199 ounces. Find the mean weight these bags of potato chips if the first quartile is 5.865 ounces. For values obtained by using a statistics function on the TI-84 calculator function, specify the function's name and the specific numerical entries used. Report the mean value requested in this problem with at least five digits after the decimal point. [A trial-and-error, guess-and-check approach will not receive credit.]