Question

1. USDOT wants to know if the presence of children in the car is related to driving speeds. Your data are (driving speed: mile/hour) of different drivers classified by the "presence of passengers" (none vs. some). You should analyze these data using
   1. Two-way chi-square test of association.
   2. t for two independent samples.
   3. t for two matched (or dependent) samples.
   4. t for population correlations.
   5. Two-way Analysis of Variance.

Answer 1

It has two groups of different drivers classified by the "presence of passengers" (none vs. some) and measures their driving speed: mile/hour. The dependent variable driving speed is a continuous variable and the independent variable presence of passengers is nominal. So, the measurement of driving speed between the none and some passenges are independent. By the question we requared to compare the means of driving speed between the none and some groups of the presence of passengers. So, the appropriate test from the list is:

" t for two independent samples."