Question #16 Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Nicole is a buyer for a major shipping company and wants to determine if there isany 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, Nicole tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosenindependently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table.Distances (in thousands of km)Puma56.5, 57.0, 49.1, 60.5, 54.3, 61.0, 51.4, 51.3, 53.8, 53.0, 47.7, 47.6, 57.8, 57.6Eternal57.0, 55.5, 51.8, 58.7, 60.5, 53.4, 44.9, 34.1, 57.8, 38.8, 52.0, 49.9, 31.5, 56.8, 54.0Send data to calculatorSend data to ExcelAssume that the two populations of distances driven are approximately normally distributed. Can Nicole conclude, at the 0.05 level of significance, that there isa 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 meanof 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 H. and the alternate hypothesis H,H, :0H :0 Assume that the two populations of distances driven are approximately normally distributed. Can Nicole conclude, at the 0.05 level of significance, that there isa 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 meanof 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 H, and the alternate hypothesis H,.H. :0H, :0On믐(b) Determine the type of test statistic to use.(Choose one) ▼O=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

For Puma : sample size (n1) = 14 sample mean (x̄1) = Σx1 /n1 =758.6/14 = 54.19 sample standard…

vo popular brands of tires for tractor-trailers are the Puma and the Eternal. Nicole is a buyer för a ny difference between the two brands of tire in the mean distance (in thousands of km) driven on th n the company's testing lab, Nicole tests a random sample of 14 Puma tires and a random sample of dependently.) For each tire she logs the distance driven (in thousands of km) before the tire would Distances (in thousands of km) Puma 56.5, 57.0, 49.1, 60.5, 54.3, 61.0, 51.4, 51.3, 53.8, 53.0, 47.7, 47.