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V Espanol Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Raina is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Raina tests a random sample of 13 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would D need to be replaced. These data are shown in the table. Distances (in thousands of km) Puma 50.8, 51.6, 49.7, 53.7, 53.3, 35.7, 54.1, 50.5, 54.5, 52.8, 56.5, 56.7, 53.1 Eternal 43.8, 40.1, 47.5, 34.3, 50.0, 68.6, 57.7, 34.4, 48.5, 47.2, 45.5, 58.7, 63.6, 50.0, 49.0 Send data to calc... v ( Send data to Excel Assume that the two populations of distances driven are approximately normally distributed. Can Raina conclude, at the 0.10 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H1. Ho : D H1 :0 (b) Determine the type of test statistic to use. (Choose one) V -0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) X 2 (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.10 level of significance, can Raina conclude that there is a difference between the mean distance (in thousands of km) driven on Puma tires before they need to be replaced and the mean distance (in thousands of km) driven on Eternal tires before they need to be replaced? Yes No