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,Kthe 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 21.4in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.4 in. and a standard deviation of 1.1 in. Use this information to answer thefollowing questions.GWhat is the minimum table clearance required to satisfy the requirement of fitting 95% of men?in. (Round to one decimal place as needed.)

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Answered: A common design requirement is that an…

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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Scores on a recent NYS Standardized Exam were normally distributed with a mean of 77.6 and a standard deviation of 4.3. Find the NYS Standardized Exam score that separates the bottom 2.5% from the rest. Round this score to the nearest tenth
If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5 miles per hour, what would the standardized score be for a pitch that is 97 miles per hour? O 0.4 4.0 1.4 O 1.0
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 57 miles per hour and 73 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 57 miles per hour and 73 miles per hour.
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
A recent survey of students at Regina Mundi College included a question about the number of school days each student had missed due to illness during one semester. The data are summarized below. For this data set, find Number of Frequency of days missed occurence 20 1 27 2 28 3 15 4 (a) the sample mean, (b) the sample median, and (c) the sample standard deviation.
A company wants to assess the average time it takes for customers to complete a particular task on their website. They collect the following data from a sample of 10 customers: 5, 6, 7, 8, 9, 10, 10, 11, 12, 13 minutes. Calculate the sample mean and standard deviation for this data.
The providence health maintenance organization wants to establish a criterion for recommending dietary changes if cholesterol levels are in the top 3%. What is the cutoff level for men aged 18 to 24 and the mean is 178.1 and the standard deviation is 40.7
According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. These hours are normally distributed. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
The speed vehicles traveled on a local highway was recorded for one month. The speeds ranged from 47 mph to 62 mph with a mean speed of 55 mph and a standard deviation of 6 mph. The quartiles and median speeds were 50 mph, 59 mph, and 52 mph. Suppose increased patrols reduced speeds by 7%. Find the new mean and standard deviation. Express your answer in exact decimals. Choose the best answer below: A. Mean: 3.85 mph, SD: 0.42 mph B. Mean: 58.85 mph, SD: 6.42 mph C. Mean: 51.15 mph, SD: 6 mph D. Mean: 58.85 mph, SD: 6 mph E. Mean: 51.15 mph, SD: 5.58 mph
Please answer the following: You can Thank you. Adult IQ scores can be modeled using a normal model with mean 100 and a standadrd deviation of 15. a. Find the prportion of IQ scores that are less than 115. b. Find the proportion of IQ scores that are greater than 131.5. c. Find the proportion of IQ scores between 90 and 110. d. Find the proportion of IQ scores that are betewwn 110 and 120. e. Find the IQ score above which there are 10% of the scores. f. Find the IQ score below which there are 20% of the scores.

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