. ( Find the sample size. a) You want to estimate the percentage of adults who buy clothing online. How many adults must be surveyed to be 95% confident that the sample percentage is in error by no more than four percentage points? b) You want to estimate the mean amount of charitable contributions made by college graduates. How many graduates must you survey to be 90% confident that your sample mean is in error by no more than $50? Assume that the population standard deviation of donations by graduates is $360.

. ( Find the sample size. a) You want to estimate the percentage of adults who buy clothing online. How many adults must be surveyed to be 95% confident that the sample percentage is in error by no more than four percentage points? b) You want to estimate the mean amount of charitable contributions made by college graduates. How many graduates must you survey to be 90% confident that your sample mean is in error by no more than $50? Assume that the population standard deviation of donations by graduates is $360.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

2. ( Find the sample size.

a) You want to estimate the percentage of adults who buy clothing online. How many adults must be surveyed to be 95% confident that the sample percentage is in error by no more than four percentage points?

b) You want to estimate the mean amount of charitable contributions made by college graduates. How many graduates must you survey to be 90% confident that your sample mean is in error by no more than $50? Assume that the population standard deviation of donations by graduates is $360.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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