Question

10.513 A fuel economy study was conducted for two German automobiles, Mercedes and Volkswagen. One vehicle of each brand was selected, and the mileage performed was observed for 10 tanks of fuel in each car. Assume that the data are from normal populations. The data are as follows (in miles per gallon): Mercedes: 24.9 25.1 24.8 24.6 24.9 24.6 24.7 24.9 24.5 24.8 Volkswagen: 40.8 42.5 42.3 42.4 41.6 39.9 39.5 40.8 41.9 39.6 Using a 95% confidence interval, is there evidence to support the claim that the variability in mileage performance is greater for a Volkswagen than for a Mercedes? Oy < Round your answer to two decimal places (e.g. 98.76). Statistical Tables and Charts the absolute tolerance is +/-0.03 Question Attempts: 1 of 3 used SAVE FOR LATER SUBMIT ANSWER

Answer 1

Solution: Given Data inolo (df:9) 2 -0.05 * Mercedes: 24.9,25.1,24:8, 24:6,24.9, 24.6,24.7,24.9, 04:5, 24.3 * volkswage:-40.8, 402.5.40.3, 424, 4146, 39.9, 39.5, 40.8.41.9, 39.6 and a confidence Internal is there evidence for mercedes Mean = EXIn. 24.9+25.14... +24.8 10 7- 24:48] Tie Ho :0,²-0,27 E Standard deviation (@: 136-pe I th:63024] OM : 20:1814 for volkswagen Mean estlo: 40.8+40157"..+ 39.6 2SE X , -(41.13] Standard deviation (O): 15Q-2)2 o N or - 114738] F Critical value = 0.05 and of (9) Fc : 13.179 10 o'm 1. 11.1733) (0.18142 . 1.3778 0.0329 - (41.887 2.0: (41.88] comme