A common design requirement is that an environment must fit the range of people who fall between the 5th percentile forwomen and the 95h 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 normallydistributed with a mean of 21.2 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normallydistributed with a mean of 19.7 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?23.0 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 clearancefor 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 true 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 false because some women will have sitting knee heights that are outliers.The author is writing this exercise at a table with a clearance of 23.3 in. above the floor. What percentage of men fit thistable?96.56 % (Round to two decimal places as needed.) In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they couldsense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapiststo identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among300 trials, the touch therapists were correct 140 times. Complete parts (a) through (d)......a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responseswould be expected if the touch therapists made random guesses?0.5 (Type an integer or a decimal. Do not round.)b. Using Emily's sample results, what is the best point estimate of the therapists' success rate?0.467 (Round to three decimal places as needed.)c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made bytouch therapists.

Answered: Image /qna-images/answer/0668613f-0d62-42a3-8d09-230bdf409e37.jpg

In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 300 trials, the touch therapists were correct 140 times. Complete parts (a) through (d). ..... a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.467 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 300 trials, the touch therapists were correct 140 times. Complete parts (a) through (d). ..... a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.467 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

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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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

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 95h 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 21.2 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally
distributed with a mean of 19.7 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?
23.0 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 true 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 false because some women will have sitting knee heights that are outliers.
The author is writing this exercise at a table with a clearance of 23.3 in. above the floor. What percentage of men fit this
table?
96.56 % (Round to two decimal places as needed.)

In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could
sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists
to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among
300 trials, the touch therapists were correct 140 times. Complete parts (a) through (d).
.....
a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses
would be expected if the touch therapists made random guesses?
0.5 (Type an integer or a decimal. Do not round.)
b. Using Emily's sample results, what is the best point estimate of the therapists' success rate?
0.467 (Round to three decimal places as needed.)
c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by
touch therapists.
<p<
(Round to three decimal places as needed.)

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