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An insurance actuary claims that the mean footwell intrusions for small and midsize cars are equal. Crash tests at 40 mph were performed on 18 randomly selected small cars and 8 randomly selected midsize cars. The amount that the footwell intruded on the driver's legs was measured. The mean footwell intrusion for the small cars was 11.5 centimeters with a standard deviation of 4.29 centimeters. The mean footwell intrusion for the midsize cars was 11.1 centimeters with a standard deviation of 3.71 centimeters. At a= 0.20, answer parts (a) through (e). Assume the population variances are equal. If convenient, use technology to solve the problem.

An insurance actuary claims that the mean footwell intrusions for small and midsize cars are equal. Crash tests at 40 mph were performed on 18 randomly selected small cars and 8 randomly selected midsize cars. The amount that the footwell intruded on the driver's legs was measured. The mean footwell intrusion for the small cars was 11.5 centimeters with a standard deviation of 4.29 centimeters. The mean footwell intrusion for the midsize cars was 11.1 centimeters with a standard deviation of 3.71 centimeters. At a= 0.20, answer parts (a) through (e). Assume the population variances are equal. If convenient, use technology to solve the problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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1. Find the critical​ value(s) and identify the rejection​ region(s).

An insurance actuary claims that the mean footwell intrusions for small and midsize cars are equal. Crash tests at 40 mph were performed on 18 randomly selected small cars and 8 randomly selected midsize cars. The amount that the footwell intruded on the driver's legs was measured. The mean footwell intrusion for the small cars was 11.5 centimeters with a standard deviation of 4.29 centimeters. The mean footwell intrusion for the midsize cars was 11.1 centimeters with a standard deviation of 3.71 centimeters. At a= 0.20, answer parts (a) through (e). Assume the population variances are equal. If convenient, use technology to solve the problem.
Transcribed Image Text:An insurance actuary claims that the mean footwell intrusions for small and midsize cars are equal. Crash tests at 40 mph were performed on 18 randomly selected small cars and 8 randomly selected midsize cars. The amount that the footwell intruded on the driver's legs was measured. The mean footwell intrusion for the small cars was 11.5 centimeters with a standard deviation of 4.29 centimeters. The mean footwell intrusion for the midsize cars was 11.1 centimeters with a standard deviation of 3.71 centimeters. At a= 0.20, answer parts (a) through (e). Assume the population variances are equal. If convenient, use technology to solve the problem.
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