Question

Please help me with this exercise. Thank you

The manager of a car dealer is doing a wear test between two tire brands. To perform the test assigned a tire of each class, randomly, to the front of 8 cars and ran the same until they were worn. The manager recorded the miles until the wear of each tire. Car Brand Brand 36925 34318 2 45300 42280 3 3624035500 4 3210031950 5 3710 38015 6 48360 47800 7 3820037810 8 33500 33215 2 4 Determine if there is a significant difference between tire brands, which brand would you prefer?

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Answer #1

Hypothesis:

H0 : mud = 0

Ha : mud not equals to 0

test statistics:

BrandA Brand B dbar

36925 34318 2607

45300 42280 3020

36240 35500 740

32100 31950 150

37210 38015 -805

48360 47800 560

38200 37810 390

33500 33215 285

dbar = ?(before) - ?(after) = 868.3750

s(dbar) = 1290.0331

SE = s(dbar)/sqrt(n)

= 1290.0331/sqrt(8)

= 456.0956

Test Statisitcs,

t = dbar/SE

= 868.3750/456.0956

= 1.9039

p value = .0986

do not reject the null hypothesis

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