Eternal Jane is a buyer for a major shipping company and

Last updated: 6/3/2023

Eternal Jane 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 Jane 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 need to be replaced These data are shown in the table Puma Eternal Send data to calculator V Distances in thousands of km 50 8 51 6 49 7 53 7 53 3 55 7 54 1 50 5 54 5 52 8 56 5 56 7 53 1 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 Excel Assume that the two populations of distances driven are approximately normally distributed Can Jane 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 H Ho O H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places 0 d Find the p value Round to three or more decimal places e At the 0 10 level of significance can Jane 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 OYes No H Xx 4 X O S OSO D S P 00 20 D