(a) identify the claim and state H and H, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t. (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. In each exercise, assume the populations have approximately normal distributions. 15. Footwell Intrusion An insurance actuary claims that the mean footwell intrusions for small and midsize cars are equal. Crash tests at 40 miles per hour were performed on 12 randomly selected small cars and 17 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 10.1 centimeters with a standard deviation of 4.11 centimeters. The mean footwell intrusion for the midsize cars was 8.3 centimeters with a standard deviation of 4.02 centimeters, At a = 0.10, can you reject the insurance actuary's claim? Assume the population variances are equal. (Adapted from Insurance Institute for Highway Safety)