# Question: A leading researcher in the study of interstate highway accidents

A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data are presented here.

a. Do the data indicate any violations in the conditions necessary to use the chi-square procedures for generating confidence intervals and testing hypotheses?

b. Estimate the standard deviation in the speeds of the vehicles traveling on the interstate using a 95% confidence interval.

c. Do the data indicate that the standard deviation in vehicle speeds exceeds 10 mph? Use α = .05 in reaching your conclusion.

d. To what population can the inferences obtained in parts (b) and (c) be validly applied?

a. Do the data indicate any violations in the conditions necessary to use the chi-square procedures for generating confidence intervals and testing hypotheses?

b. Estimate the standard deviation in the speeds of the vehicles traveling on the interstate using a 95% confidence interval.

c. Do the data indicate that the standard deviation in vehicle speeds exceeds 10 mph? Use α = .05 in reaching your conclusion.

d. To what population can the inferences obtained in parts (b) and (c) be validly applied?

## Relevant Questions

A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all third graders in the ...Refer to Example 8.1. In example a. Using the observed data, compute the 15 sample residuals: eij = yij –yi.. b. Using the 15 residuals, verify that s2W = 1/12 Σij e2ij. c. Do the data indicate any violations in the ...Refer to Exercise 7.18. In exercise a. The biologist hypothesized that the mean weight of deer raised in a zoo would differ from the mean weight of deer raised either in the wild or on a ranch. Do the conditions necessary ...Refer to Example 8.6. In example a. Apply the Kruskal–Wallis test to determine if there is a difference in the distributions of opinions across the four geographical regions. b. Does your conclusion differ from the ...Doing homework is a nightly routine for most school-age children. The article “Family Involvement with Middle-Grades Homework: Effects of Differential Prompting” (Balli, S. J., J. F. Wedman, and D. H. Demo, 1997), ...Post your question