A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. A designer came with a new model of shoes which were worn by 15 individuals, and the lifetime of each of those pairs of shoes are given below: 15, 18, 17, 20, 16, 16.5, 15.5, 17.5, 19, 14, 21, 18.5, 16.5, 15, 14 a) State the appropriate hypotheses to test whether the lifetime of shoes are showing evidence of a longer lasting product than expected.  b) Determine the mean and standard deviation for the lifetimes of the sample of shoes. c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings.

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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. A designer came with a new model of shoes which were worn by 15 individuals, and the lifetime of each of those pairs of shoes are given below:

15, 18, 17, 20, 16, 16.5, 15.5, 17.5, 19, 14, 21, 18.5, 16.5, 15, 14

a) State the appropriate hypotheses to test whether the lifetime of shoes are showing evidence of a longer lasting product than expected. 

b) Determine the mean and standard deviation for the lifetimes of the sample of shoes.

c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings.

 

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