Question

A study is being conducted to determine whether drivers at or over the age of 70 have longer reaction times in a simple driving task than drivers aged less than 70. A SRS of 50 drivers at or over age 70, and another SRS of 60 drivers under age 70 is selected. Each driver’s reaction time to a specific driving activity was measured in a laboratory, and the reaction times in minutes were recorded. The sample mean and sample standard deviation of each sample are given in the following table:

	n	mean	standard dev
Age 70 or Over	50	0.772	0.1020
Age Under 70	60	0.714	0.0847

a) State the null and alternative hypotheses

b) Do we need to assume anything about the distribution of driving times in order to proceed with hypothesis test? why or why not?

c) Calculate the test statistic

d) Give the distribution of the test statistic assuming that the null is true

e) Calculate the p-value. Draw the picture of the appropriate pdf and shade the region corresponding to the p-value

f) Draw your rejection region.

g) Draw your conclusion of this study at alpha=0.05

Answer 1