A survey found that women's heights are normally distributed with mean 62.5 in. and standard deviation 3.2 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.5 in. Complete parts (a) through (c) below. a. What percentage of adult men can fit through the door without bending? The percentage of men who can fit without bending is 0.05%. (Round to two decimal places as needed.) b. Does the door design with a height of 55.5 in. appear to be adequate? Why didn't the engineers design a larger door? A. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed. OB. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented. c. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical. O D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed. c. What doorway height would allow 40% of men to fit without bending? The doorway height that would allow 40% of men to fit without bending is (Round to one decimal place as needed.) in.

Consider the data from the Anthropology 105 class.  The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 64 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between oz and b) What percentage of the widget weights lie between 55 and 70 ounces? % c) What percentage of the widget weights lie below 67 ? %

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 ounces and a standard deviation of 10 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 24 and 74 ounces? c) What percentage of the widget weights lie above 34? Question Help: DVideo D Post to forum E Calculator Submit Question

The heights of senior girls are normally distributed with a mean of 65 inches and a standard deviation of 2.2 inches.  What percent of senior girls are … 4)  Under 66 inches tall?  Group of answer choices A.) 67.36% B.) 55.96% C.)93.57% D.)78.23%

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It is generally believed that the heights of adult females in the U.S. are approximately normally distributed with mean 65 inches and standard deviation 4 inches. A small university is considering custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. A. The beds that the university currently purchases are 70 inches long. What proportion of females will be able to fit on the bed while lying perfectly straight (less than 70”)? Draw/Label/Shade a curve with this information and provide the value of the requested proportion. B. What is the height of a female who is in the top 10% for her height? Draw/Label/Shade

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 ounces and a standard deviation of 9 ounces.Use the Empirical Rule.Suggestion: sketch the distribution in order to answer these questions.a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 28 and 73 ounces?       %c) What percentage of the widget weights lie above 37 ?        %