(1 point) ms company owns 9 trucks of various makes and models. The manager rece
ID: 3315053 • Letter: #
Question
(1 point) ms company owns 9 trucks of various makes and models. The manager recently heard that inflating tires with nitrogen may provide slightly better gas mileage. The manager wants to determine if there is a noticeable increase in the mean gas mileage for the 9 trucks when nitrogen is utilized. Over a period of time, a test is run in which the gas mileage of each truck is recorded both with and without nitrogen in the tires. The gas mileages of the 15 trucks with and without nitrogen in the tires are recorded here. (data is in miles per gallon) Truck ABCDEFGH Without Nitrogen 28 20 1718 20 23 19 23 22 With Nitrogen 3121 19 1821 25 21 2424 1. Calculate the difference in mpg by (nitrogen mpg- air mpg). Use a 0.05 significance level to test the claim that nitrogen filled tires get better gas mileage (a) What test method should be used? A. Two Independent Samples t-test B. Two Independent Samples z-test O C. Two Dependent Samples t-test Matched Pairs) (b) The test statistic is o.0047 (c) The p-value is 0.005 (d) is there statistically significant evidence to support the claim that the trucks get better gas mileage when the air in the tires is replaced with O A. Yes B. No Note: You can earn partial credit on this problem 3Explanation / Answer
all the answers are right , here we must use two dependent sample t test , as the with nitrogen and without nitrogen are independent event .
[rootover(n)*{(xbar-mean)}]/sigma is the test statistic , and as the p-value is less than the level of significance we reject the null hypothesis . , so there is a significant evidence to support yhe claim that the trucks get better millage when the air in the tires replaced by the nitrogen ,
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