The US Department of Transportation provides estimated numbe

The U.S. Department of Transportation provides estimated number of miles that residents of large metropolitan areas travel per day in a car. In a random sample of 50 City A residents the mean was 22 miles with a standard deviation of 4 miles, and in a random sample of 50 City B residents the mean was 28 miles with a standard deviation of 8 miles. You want to know if the mean difference in number of miles travelled per day between City A and City B is different from zero in the population.

decide which of the following four methods is appropriate.

One sample t test

Paired samples t test

Independent samples t test

One-way analysis of variance (ANOVA)

Solution

The mean difference is 0 or not you are interested.

i.e. comparison of two means.

Here two cities were compared hence

Independent samples t test is to be used