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A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met, which of the following is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time? 1.812 () A 1.833 () B V10 1.96 () C 2.228 () V10 E 2.262 V10

A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met, which of the following is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time? 1.812 () A 1.833 () B V10 1.96 () C 2.228 () V10 E 2.262 V10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met, which of the following is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time? 1.812 () A V10 6 1.833 () B V10 1.96 () V10 2.228 () 6 2.262 () E
Transcribed Image Text:A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met, which of the following is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time? 1.812 () A V10 6 1.833 () B V10 1.96 () V10 2.228 () 6 2.262 () E
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Given Information : 

A random sample of 10 employees of a company was selected to estimate the mean one way commute time for all employees at the company. The mean and standard deviation of the sample mean were 38 minutes and 6 minutes, respectively. 

Here , 

Sample size : n = 10 

Sample mean : x¯ = 38 minutes 

Sample standard deviation : s = 6 minutes 

The margin of Error: The margin of error can be calculated by depending on whether you have parameters from a population or statistics from a sample:

The margin of error = Critical value x Standard deviation for the population.

 

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