A Study Conducted by a Commuter Train Transportation Authority Involved

question 7

Short Answer

A study conducted by a commuter train transportation authority involved surveying a random sample of 200 passengers. The results show that a customer had to wait on the average 9.3 minutes with a standard deviation of 6.2 minutes to buy his or her ticket. Construct a 95% confidence interval for , the true mean waiting time.
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Definitions:

Simple Linear Regression

A method in statistics that models the relationship between two variables by fitting a linear equation to the observed data.

Least-squares Regression Line

A straight line that best models the relationship between a dependent and independent variable by minimizing the sum of the squares of the vertical distances of the points from the line.

MPG

Miles Per Gallon, a measure of fuel efficiency used in the United States to indicate how many miles a vehicle can travel per gallon of fuel.

Linear Model

A mathematical model that assumes a linear relationship between the input variables (x) and a single output variable (y), where y can be calculated from a linear combination of the input variables.