Maurice Tutor

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Category > Management Posted 11 Feb 2018 My Price 7.00

methods for producing a tire

Two new methods for producing a tire have been proposed. The manufacturer believes there will be no appreciable difference in the lifetimes of tires produced by these methods. To test the plausibility of such a hypothesis, a sample of 9 tires is produced by method 1 and a sample of 7 tires by method 2. The first sample of tires is to be road-tested at location A and the second at location B.

Table 10.1 Tire Lives in Units of 1000 Kilometers

Tires tested at A

Tires tested at B

Tires tested at A

Tires tested at B

66.4

58.2

61.4

58.7

61.6

60.4

62.5

56.1

60.5

55.2

64.4

 

59.1

62.0

60.7

 

63.6

57.3

 

 

It is known, from previous experience, that the lifetime of a tire tested at either of these locations is a normal random variable with a mean life due to the tire but with a variance that is due to the location. Specifically, it is known that the lifetimes of tires tested at location A are normal with a standard deviation equal to 3000 kilometers, whereas those tested at location B have lifetimes that are normal with a standard deviation of 4000 kilometers. Should the data in Table 10.1 cause the manufacturer to reject the hypothesis that the mean lifetime is the same for both types of tires? Use a 5 percent level of significance.

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Maurice Tutor
(5)
Status NEW Posted 11 Feb 2018 09:02 PM My Price 7.00

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