46. A tire manufacturer has been producing tires with an average life expectancy of 26,000 miles. Now the company is advertising that its new tires' life expectancy has increased. In order to test the legitimacy of the advertising campaign, an independent testing agency tested a sample of 6 of their tires and has provided the following data. Life Expectancy (In Thousands of Miles) 28 27 25 28 29 25 Determine the mean and the standard deviation. a. At the .01 level of significance using the critical value approach, test to determine whether or not the tire company is using legitimate advertising. Assume the population is normally b. distributed. ANSWER: a. X- 27,s = 1.67 (rounded) Ho: 4 <26 (in thousands of miles) Ha: 4 > 26 (in thousands of miles) Since t= 1.467 <3.365, do not reject Họ and conclude that there is insufficient evidence to support the manufacturer's claim. b.

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