1. A company claims that the mean tread life for one of its tyres is 35,000 hour

Question

1. A company claims that the mean tread life for one of its tyres is 35,000 hours. To test this clai,50 tyres are randomly selected and tested. The sample mean for the tread life was 34,200 hours and the sample standard deviation was 3,100. For denoting the mean tread life, the hypotheses to be tested are: Ho : = 35,000 versus H1 : 35,000. (a) Using the fact that 490 975 2010, calculate a 95% confidence interval for the mean tread life assuming that tread life is normally distributed b) Does your interval provide evidence that the company's claim is false? That is, do you reject Ho? Explain. c) Write a simple statement that summarises your findings

Explanation / Answer

Using Miitab:

One-Sample T

Test of = 35000 vs 35000

N Mean StDev SE Mean 95% CI T P
50 34200 3100 438 (33319, 35081) -1.82 0.074

a. 95% CI is (33319, 35081)

b.No. Here P-value >0.05 so we fail to reject H0.

c.P-value >0.05 so we fail to reject H0. Accept H0 mean=35000

Hope this will be helpful. Thanks and god Bless You:-)

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