Please includes all the seven steps in order to get a high recommendation. Use t

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Please includes all the seven steps in order to get a high recommendation. Use the tables for your questions
Problem 2 (25 points research engineer for a tire manufacturer company is investigating the lifetime of made from a new rubber compound. She has tires and tested them to end-of-ife in a road test. The sample mean and standard deviation are 61,492 and 3035 kilometers, respectively. The engineer would like to demonstrate that the mean life of this new tire is in excess of 60,000 km. Test this hypothesis with a significance level of 0.05 using t-test.

Explanation / Answer

here null hypothesis: mean <=60000

and alternate hypothesis: mean >60000

std error =std deviation/(n)1/2 =3035/(10)1/2 =959.75

for test stat t=(X-mean)/std error =(61492-60000)/959.75 =1.5546

for above test stat and 9 degree oif freedom p value =0.0772

as p vlaue is higher then 0.05 level; we can not reject null hypothesis that mean is equal or less then 60000.

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