**Designing Aircraft Seats for Optimal Fit**Engineers aim to design seats in commercial aircraft that are sufficiently wide to fit 90% of all males. Accommodating 100% of males would require excessively wide and expensive seats. Men's hip breadths follow a normal distribution with a mean of 14.3 inches and a standard deviation of 0.9 inches. **Objective**: Calculate \( P_{90} \), the hip breadth measurement that separates the smallest 90% from the largest 10%.**Task**: Determine the hip breadth for men that distinguishes the smallest 90% from the largest 10%.\[ \text{The hip breadth for men that separates the smallest 90% from the largest 10% is } P_{90} = \_ \text{ inches.} \] *Round to one decimal place as needed.*

given data normal distribution μ= 14.3σ= 0.9 for smallest 90%P(x<z) = 0.90x = ?

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 bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
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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 6.7-in and a standard deviation of 0.9-in. In what range would you expect to find the middle 98% of most head breadths? Between and If you were to draw samples of size 36 from this population, in what range would you expect to find the middle 98% 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.
Answer number 3 only pls.
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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. 1.96,-1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. D. Fail to reject Ho. There is sufficient…
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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 5.8-in and a standard deviation of 0.8-in. In what range would you expect to find the middle 95% of most head breadths? Between and If you were to draw samples of size 42 from this population, in what range would you expect to find the middle 95% 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.
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