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(2 marks) b) The manufacturer of a fuel additive claims that the use of this additive increased mileage. A random sample of six cars was

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(2 marks) b) The manufacturer of a fuel additive claims that the use of this additive increased mileage. A random sample of six cars was selected and these cars were driven for one week without the fuel additive and then for one week with the fuel additive. The Minitab output below gives the paired T-Test and CI for these cars without and with the additive. Assume the distance travelled with or without the additive are normally distributed. Paired T-Test and CI: Without, With Paired T for Without - With N Mean StDev SE Mean Without 6 23 . 40 5 . 42 2.21 With 6 25.22 5. 79 2.36 Difference 6 D 1 . 423 0. 581 T-Test of mean difference = 0: T-Value = T Assume that the population distributions are approximately normally distributed, answer the questions below. i) Find the missing values of D and T in the output. (3 marks) ii) Is there enough evidence at 5% significance level to conclude whether the use of fuel (5 marks) additive increases the mean mileage of cars

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