A survey found that women's heights are normally distributed with mean 62.4 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.6 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 6.50 %. (Round to two decimal places as needed.) Since most men do not meet the height requirement, it is likely that most of the characters are women. b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of in. (Round to one decimal place as needed.)

For the normal distribution of adult males in North America (mean=70.0 inches, standard deviation=4.0 inches), find the proportion of those who are  a) under 65 inches b) over 76 inches c) between 67 and 73 inches

Based on data from the 2010 Census the average age of a Pierce County, Washington resident is 41 years with a standard deviation of 12.3 . The data is normally distributed. The median age, in years, is: a) 41   b) 38   c) 43   d) 33

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information. Stratum Flaked Stone Tools Nonflaked Stone Tools 1 10 2 2 10 3 3 9 2 4 1 3 5 4 7 6 38 32 7 51 30 8 25 12   What is the value of the sample test statistic? (Round your answer to three decimal places.)

The speed limit of a road is 65 miles per hour. The speed of a car on the highway follows a normal distribution with a mean of 70 and standard deviation of 5. What percent of the distribution breaks the speed limit? A)0% B)34% C)84% D)100%

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 ?        %

a) In the process of designing an airplane, men were measured to determine the size of the seat that was needed. Men have mean hip width of 36.6 cm and a standard deviation of 2.5 cm. Copy and complete the picture below as we have done in class. b) What percentage of men will have hip widths between 36.6cm and 44.1 cm c) About 95% of men will have hip widths between what lengths?