Eternal Keisha is a buyer for a major shipping company and

Last updated: 5/27/2023

Eternal Keisha 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 Keisha tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires These samples are chosen independently For the Puma tires the sample mean distance in thousands of km until they would need to be replaced is 49 36 with a sample variance of 10 64 For the Eternal tires the sample mean distance in km until they would need to be replaced is 45 05 with a sample variance of 54 68 Assume that the two populations of distances driven are approximately normally distributed Can Keisha conclude at the 0 01 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 H and the alternate hypothesis H 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 d Find the two critical values Round to three or more decimal places and e At the 0 01 level of significance can Keisha 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 QYes No H x X 4 0 0 0 0 X a S 2 OSO 020 O O P 0 0 S