Many people struggle with gambling addictions. Gambling addicts can jeopardize their relationships with friends and family as they spiral into deeper and deeper debt. In order to quantify the degree of addiction a gambler suffers, a study surveyed a random sample of 100 gambling addicts. The amount of debt to be repaid is examined, and it is found that they have an average of 9 thousand dollars in gambling debts to repay. Suppose that all conditions are met and that the population standard deviation is o = 2.3 thousand dollars. In this problem, we will systematically investigate what happens to the length of the confidence interval as the sample size quadruples. (a) Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size, n = 100. (Use a table or technology. Round your answers to three decimal places.) The 95% confidence interval based upon n = 100 is thousand dollars. (b) Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size, n = 400. (Use a table or technology. Round your answers to three decimal places.) The 95% confidence interval based upon n = 400 is thousand dollars. (c) Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size, n = 1,600. (Use a table or technology. Round your answers to three decimal places.) The 95% confidence interval based upon n = 1,600 is thousand dollars.
Many people struggle with gambling addictions. Gambling addicts can jeopardize their relationships with friends and family as they spiral into deeper and deeper debt. In order to quantify the degree of addiction a gambler suffers, a study surveyed a random sample of 100 gambling addicts. The amount of debt to be repaid is examined, and it is found that they have an average of 9 thousand dollars in gambling debts to repay. Suppose that all conditions are met and that the population standard deviation is o = 2.3 thousand dollars. In this problem, we will systematically investigate what happens to the length of the confidence interval as the sample size quadruples. (a) Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size, n = 100. (Use a table or technology. Round your answers to three decimal places.) The 95% confidence interval based upon n = 100 is thousand dollars. (b) Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size, n = 400. (Use a table or technology. Round your answers to three decimal places.) The 95% confidence interval based upon n = 400 is thousand dollars. (c) Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size, n = 1,600. (Use a table or technology. Round your answers to three decimal places.) The 95% confidence interval based upon n = 1,600 is thousand dollars.
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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Many people struggle with gambling addictions. Gambling addicts can jeopardize their relationships with friends and family as they spiral into deeper and deeper debt. In order to quantify the degree of addiction a gambler suffers, a study surveyed a random sample of 100 gambling addicts. The amount of debt to be repaid is examined, and it is found that they have an average of
10 thousand
dollars in gambling debts to repay. Suppose that all conditions are met and that the population standard deviation is ? = 1.6 thousand dollars.In this problem, we will systematically investigate what happens to the length of the confidence interval as the sample size quadruples.
(a)
Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size,
n = 100.
(Use a table or technology. Round your answers to three decimal places.)The 95% confidence interval based upon
,
thousand
dollars.
n = 100
is
(b)
Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size,
n = 400.
(Use a table or technology. Round your answers to three decimal places.)The 95% confidence interval based upon
,
thousand
dollars.
n = 400
is
(c)
Calculate a 95% confidence interval for the mean amount of debt owed (in thousands of dollars) for all gambling addicts using the given sample size,
n = 1,600.
(Use a table or technology. Round your answers to three decimal places.)The 95% confidence interval based upon
,
thousand
dollars.
n = 1,600
is
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