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 andstandard 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 populationmean one-way commute time?1.812 ()AV1061.833 ()BV101.96 ()V102.228 ()62.262 ()E

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Description: 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 andstandard deviation of the sample were 38 minutes and 6 minutes, respectively.Assuming all conditions fo

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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

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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 : $\bar{x}$ = 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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