03-Car manufacturers are often keen to claim that their car will travel further on a tank full of gas, than a similar si

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03 Car Manufacturers Are Often Keen To Claim That Their Car Will Travel Further On A Tank Full Of Gas Than A Similar Si 1 (34.06 KiB) Viewed 26 times

03-Car manufacturers are often keen to claim that their car will travel further on a tank full of gas, than a similar sized car from another manufacturer. The table below gives the kilometers traveled for two 1500cc cars, one is a Toyota, the other a Honda. The manufacturer claims that Toyota's travel further than Hondas. There are 15 different drivers and they each drove both cars over the same roads. The data are given below. Driver Toyota (kam (tienda (kum 545 555 1 1499 3 525 525 4 311 3 40 . 530 341 531 L 345 AM . 16 de 1 11 525 SH 12 125 405 11 WE TH 14 A AN 15 KIR 142 State the appropriate hypotheses in order to conduct the sign test. Find the value of $ (the number of positive signs). Determine whether you can accept the null hypothesis at the 5% level of significance. State the conclusion to the test. 94-A government agency wants to test a refining company's claim that the mileage achieved with its unleaded gasoline (A) is at most equal to and probably less than that achieved with its leaded gasoline (B). Fifteen car models are chosen; a given driver drives each model twice over the identical route. At randoms, each driver is given brand A or brand B first, then drives with the other brand during the second trip. This procedure is designed to assure that neither brand of gasoline is favored or handicapped by all drivers being fresh or tired, respectively. Because the agency statistician knows nothing about the probability distribution of the population of miles per gallon differences, a sign test at the 2.5 percent level of significance is chosen Make the test. using the government's following Table data TABLE: Gasoline Experiment M Car Mod anded Gas (Ande A 233 13.7 Iki 182 100 199 16 237 243 192 218 Dep S 210 os. The following table shows how a sample of men and women rank ten different TV shows. Determine whether a significant degree of rank correlation exists, using a -0.10 as the desired level of significance Hint: you need to do a Hypothesis test using the non- parametric method of the Spearman's rank correlation test. Clearly state your conclusion to the test. AN