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.

a. One sample t test
b. Paired samples t test
c. Independent samples t test
d. One-way analysis of variance (ANOVA)

Answer 1

c. Independent samples t test

Step-by-step explanation:

An independent samples t test is used in the above case. Independent samples t test are employed when comparison is between two independently groups. Independent samples t test compares the mean of two independent groups as in above to determine if there is a statistically significant difference between them for the purpose of making a decision. For example in the above scenario if there is a difference in the means, we can conclude that City A and city B residents do not travel same distance in miles