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Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was seven hours with a sample standard deviation of four hours. O Part (a) (i) Enter an exact number as an integer, fraction, or decimal. hrs (ii) Enter an exact number as an integer, fraction, or decimal. Sy = hrs (ii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n-1 = O Part (b) (b) Define the random variables X and X in words. X is the amount of time an individual waits at the courthouse to be called for service. X is the mean wait time for a sample of individuals. O Xis the number of individuals at the courthouse to be called for service. X is the average number of individuals at the courthouse. Xis the amount of time an individual waits at the courthouse to be called for service. X is the mean wait time for a sample of individuals. O Xis the number of individuals at the courthouse to be called for service. Xis the average number of individuals at the courthouse. O Part (c) Which distribution should you use for this problem? (Enter your answer in the form z or tor where df is the degrees of freedom.) Explain your choice. The Student's t-distribution for 81 degrees of freedom should be used because the sample standard deviation is known. The Student's t-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation. The standard normal distribution should be used because the sample standard deviation is known. O The standard normal distribution should be used because the population standard deviation is known.

Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was seven hours with a sample standard deviation of four hours. O Part (a) (i) Enter an exact number as an integer, fraction, or decimal. hrs (ii) Enter an exact number as an integer, fraction, or decimal. Sy = hrs (ii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n-1 = O Part (b) (b) Define the random variables X and X in words. X is the amount of time an individual waits at the courthouse to be called for service. X is the mean wait time for a sample of individuals. O Xis the number of individuals at the courthouse to be called for service. X is the average number of individuals at the courthouse. Xis the amount of time an individual waits at the courthouse to be called for service. X is the mean wait time for a sample of individuals. O Xis the number of individuals at the courthouse to be called for service. Xis the average number of individuals at the courthouse. O Part (c) Which distribution should you use for this problem? (Enter your answer in the form z or tor where df is the degrees of freedom.) Explain your choice. The Student's t-distribution for 81 degrees of freedom should be used because the sample standard deviation is known. The Student's t-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation. The standard normal distribution should be used because the sample standard deviation is known. O The standard normal distribution should be used because the population standard deviation is known.

MATLAB: An Introduction with Applications
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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**Suppose that a committee is studying whether or not there is a waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was seven hours with a sample standard deviation of four hours.** ### Part (a) (i) Enter an exact number as an integer, fraction, or decimal. \( \bar{x} = \) _______ hrs (ii) Enter an exact number as an integer, fraction, or decimal. \( s_x = \) _______ hrs (iii) Enter an exact number as an integer, fraction, or decimal. \( n = \) _______ (iv) Enter an exact number as an integer, fraction, or decimal. \( n - 1 = \) _______ ### Part (b) Define the random variables \( X \) and \( \bar{X} \) in words. - \( \bar{X} \) is the amount of time an individual waits at the courthouse to be called for service. \( X \) is the mean wait time for a sample of individuals. - \( \bar{X} \) is the number of individuals at the courthouse to be called for service. \( X \) is the average number of individuals at the courthouse. - \( X \) is the amount of time an individual waits at the courthouse to be called for service. \( \bar{X} \) is the mean wait time for a sample of individuals. - \( X \) is the number of individuals at the courthouse to be called for service. \( \bar{X} \) is the average number of individuals at the courthouse. ### Part (c) Which distribution should you use for this problem? (Enter your answer in the form \( z \) or \( t_{df} \) where \( df \) is the degrees of freedom.) ________ Explain your choice. - The Student's t-distribution for 81 degrees of freedom should be used because the sample standard deviation is known. - The Student's t-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation. - The standard normal distribution should be used because the sample standard deviation is known. - The standard normal distribution should be used because the population standard deviation is known.
Transcribed Image Text:**Suppose that a committee is studying whether or not there is a waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was seven hours with a sample standard deviation of four hours.** ### Part (a) (i) Enter an exact number as an integer, fraction, or decimal. \( \bar{x} = \) _______ hrs (ii) Enter an exact number as an integer, fraction, or decimal. \( s_x = \) _______ hrs (iii) Enter an exact number as an integer, fraction, or decimal. \( n = \) _______ (iv) Enter an exact number as an integer, fraction, or decimal. \( n - 1 = \) _______ ### Part (b) Define the random variables \( X \) and \( \bar{X} \) in words. - \( \bar{X} \) is the amount of time an individual waits at the courthouse to be called for service. \( X \) is the mean wait time for a sample of individuals. - \( \bar{X} \) is the number of individuals at the courthouse to be called for service. \( X \) is the average number of individuals at the courthouse. - \( X \) is the amount of time an individual waits at the courthouse to be called for service. \( \bar{X} \) is the mean wait time for a sample of individuals. - \( X \) is the number of individuals at the courthouse to be called for service. \( \bar{X} \) is the average number of individuals at the courthouse. ### Part (c) Which distribution should you use for this problem? (Enter your answer in the form \( z \) or \( t_{df} \) where \( df \) is the degrees of freedom.) ________ Explain your choice. - The Student's t-distribution for 81 degrees of freedom should be used because the sample standard deviation is known. - The Student's t-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation. - The standard normal distribution should be used because the sample standard deviation is known. - The standard normal distribution should be used because the population standard deviation is known.
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