A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.5 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.8 in. and a standard deviation of 1.0 in. Use this information to answer the following questions. What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? nothing in. (Round to one decimal place as needed.) Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%. A. The statement is false because the 95th percentile for men is greater than the 5th percentile for women. B. The statement is false because some women will have sitting knee heights that are outliers. C. The statement is true because the 95th percentile for men is greater than the 5th percentile for women. D. The statement is true because some women will have sitting knee heights that are outliers. The author is writing this exercise at a table with a clearance of 23.9 in. above the floor. What percentage of men fit this table? nothing% (Round to two decimal places as needed.) What percentage of women fit this table? nothing% (Round to two decimal places as needed.) Does the table appear to be made to fit almost everyone? Choose the correct answer below. A. The table will fit only 1% of men. B. The table will only fit 1% of women. C. The table will fit almost everyone except about 1% of men with the largest sitting knee heights. D. Not enough information to determine if the table appears to be made to fit almost everyone.

A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.5 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.8 in. and a standard deviation of 1.0 in. Use this information to answer the following questions. What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? nothing in. (Round to one decimal place as needed.) Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%. A. The statement is false because the 95th percentile for men is greater than the 5th percentile for women. B. The statement is false because some women will have sitting knee heights that are outliers. C. The statement is true because the 95th percentile for men is greater than the 5th percentile for women. D. The statement is true because some women will have sitting knee heights that are outliers. The author is writing this exercise at a table with a clearance of 23.9 in. above the floor. What percentage of men fit this table? nothing% (Round to two decimal places as needed.) What percentage of women fit this table? nothing% (Round to two decimal places as needed.) Does the table appear to be made to fit almost everyone? Choose the correct answer below. A. The table will fit only 1% of men. B. The table will only fit 1% of women. C. The table will fit almost everyone except about 1% of men with the largest sitting knee heights. D. Not enough information to determine if the table appears to be made to fit almost everyone.

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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Question

A common design requirement is that an environment must fit the range of people who fall between the

5th

percentile for women and the

95th

percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of

21.5

in. and a standard deviation of

1.1

in. Females have sitting knee heights that are normally distributed with a mean of

19.8

in. and a standard deviation of

1.0

in. Use this information to answer the following questions.

What is the minimum table clearance required to satisfy the requirement of fitting 95% of men?

nothing

in. (Round to one decimal place as needed.)

Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%.

The statement is false because the 95th percentile for men is greater than the 5th percentile for women.

The statement is false because some women will have sitting knee heights that are outliers.

The statement is true because the 95th percentile for men is greater than the 5th percentile for women.

The statement is true because some women will have sitting knee heights that are outliers.

The author is writing this exercise at a table with a clearance of

23.9

in. above the floor. What percentage of men fit this table?

nothing%

(Round to two decimal places as needed.)

What percentage of women fit this table?

nothing%

(Round to two decimal places as needed.)

Does the table appear to be made to fit almost everyone? Choose the correct answer below.

The table will fit only

of men.

The table will only fit 1% of women.

The table will fit almost everyone except about

of men with the largest sitting knee heights.

Not enough information to determine if the table appears to be made to fit almost everyone.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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