1.     A tire company claims that its top selling brand averages at least 50,000 miles before it needs to be replaced. Past studies have shown the standard deviation is 8,000 miles. A survey of 28 owners of the tire design is conducted and the mean lifespan is 46,500 with a standard deviation of 9,800 miles. Using a 95% level of confidence, are the sample findings consistent with the company’s claim? a.     What statistical test will you use to test this data ?   b.     State the null and alternative hypothesis .           i.     H0:            ii.     Ha:  c.     What are the confidence intervals ?   d.     What is the value of the test statistic ?   e.     What is the p-value ?   f.      Circle/highlight the correct decision about the null hypothesis . Reject H0                                                          Fail to Reject H0   g.     What are your conclusions ?

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1.     A tire company claims that its top selling brand averages at least 50,000 miles before it needs to be replaced. Past studies have shown the standard deviation is 8,000 miles. A survey of 28 owners of the tire design is conducted and the mean lifespan is 46,500 with a standard deviation of 9,800 miles. Using a 95% level of confidence, are the sample findings consistent with the company’s claim?

a.     What statistical test will you use to test this data ?

 

b.     State the null and alternative hypothesis .

          i.     H0

          ii.     Ha

c.     What are the confidence intervals ?

 

d.     What is the value of the test statistic ?

 

e.     What is the p-value ?

 

f.      Circle/highlight the correct decision about the null hypothesis .

Reject H0                                                          Fail to Reject H0

 

g.     What are your conclusions ?

 

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