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.

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Description: Many people struggle with gambling addictions. Gambling addicts can jeopardize their relationships with friends and family as theyspiral into deeper and deeper debt. In order to quantify the degree of addiction a gambler suffers, a study surveyed a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS

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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 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.

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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

n = 100

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

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

thousand

dollars.

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