A survey found that women's heights are normally distributed with mean 62.2 in. and standard deviation 3.1 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.1 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 12.91 %. (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 (Round to one decimal place as needed.) in.

Both sets of value have an average of 13. Is set A's standard deviation similar, larger, or about the same as set B's? set A: 1 2 3 23 24 25 ser B: 9 10 11 14 16 18

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. Suppose that at five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Wilderness District 1 2 3 4 January April 130 127 122 64 78 105 97 108 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. Solve the problem using the critical region method of testing. (Let d = January - April. Round your answers to three decimal places.) test statistic = critical value = Interpret your conclusion in the context of the application. O Reject the null hypothesis, there is insufficient evidence to claim average peak…

According to an automobile association, the average cost of a gallon of regular unleaded fuel at gas stations in a certain month was $2.825. Assume that the standard deviation of such costs is $0.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the month's cost per gallon of regular unleaded fuel is determined for each. Consider x, the sample mean cost per gallon. Complete part a through d. Click the icon to view the table of normal curve areas. a. Calculate P and o