Nike claims that the number of miles a jogger can get a on a pair of...

Nike claims that the number of miles a jogger can get a on a pair of Nike’s running shoes is higher than 1000. Moreover, Nike also claims that their shoes outperform Adidas shoes by more than 15 miles. We have samples of 150 joggers using Nike shoes and 170 using Adidas shoes. The sample average of miles they got are 1015 for Nike and 995 for Adidas. The sample standard deviations are 100 for Nike and 50 for Adidas.

a.) At a 5% level of signiﬁcance, is there statistical evidence showing that Nike shoes get more than 1000 miles?

b.) Obtain the p-value for the previous test. What does it mean?

c.) At a 5% level of signiﬁcance, is there statistical evidence showing that Nike shoes outperform Adidas shoes?

d.) Obtain the p-value for the previous test. Interpret.

Expert Solution

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milcah answered 4 weeks ago

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