The U.S. Department of Transportation provides estimated number of miles that re

Question

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)

Explanation / Answer

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

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