A researcher conducted a study of the impact of profession o

A researcher conducted a study of the impact of profession on commute times for workers in a southern U.S. city. The researcher obtained a random sample of 100 factory line workers and a random sample of 100 manufacturing executives and recorded their commute times (in minutes) for the previous day. The resulting summary statistics are given in this table. Calculate the margin of error of a 95% confidence interval for the difference in the average commute times for these groups.


Give only the margin of error to 2 decimal places

Profession n mean st. dev
Line Worker 100 131 27.4
executives 100 84 28.4

Solution

A researcher conducted a study of the impact of profession on commute times for workers in a southern U.S. city. The researcher obtained a random sample of 100

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