Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all adults. (Accommodating 100% of adults would require very wide seats that would be muchtoo expensive.) Assume adults have hip widths that are normally distributed with a mean of 13.8 in. and a standard deviation of 1.1 in. Find P99. That is, find the hip width for adults that separatesthe smallest 99% from the largest 1%.What is the maximum hip width that is required to satisfy the requirement of fitting 99% of adults?in. (Round to one decimal place as needed.)

We will be using the concepts of standardization and z-scores to solve this problem. Givenmean =…

Answered: Engineers want to design seats in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
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
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.3 in. and a standard deviation of 0.9 in. Find Pan. That is, find the hip breadth for men that separates the smallest 90% from the largest 10%. ... The hip breadth for men that separates the smallest 90% from the largest 10% is P90 = in. (Round to one decimal place as needed.) Pa Th Expla The o use sm
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Most people think that the "normal" adult body temperature is 98.6°F. In a more recent study, researchers reported that a more accurate figure may be 98.1°F. Furthermore, the standard deviation appeared to be around 0.7°F. Assume that a Normal model is appropriate. b) What fraction of people would be expected to have body temperatures above 98.6°F?
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.7-in and a standard deviation of 1.1-in.In what range would you expect to find the middle 50% of most head breadths? Between and .If you were to draw samples of size 46 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample? Between and .Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
. In a county male height is normally distributed with a mean of 177 cm and astandard deviation of 6 cm. What percentage of males have a height between 170cm and 182 cm.
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.9 in. and a standard deviation of 1.1 in. Find Pg9. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%. The hip breadth for men that separates the smallest 99% from the largest 1% is Pgg in. %3D (Round to one decimal place as needed.)
Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the heights of kindergarten children are normally distributed with a mean of 97 cm and a standard deviation of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?
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.)

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