Question 1131482: In order to increase customer service, a muffler repair shop claims its mechanics can replace a
muffler in less than 12 minutes. A time management specialist selected six repair jobs and found their
mean time to be 11.6 minutes. The standard deviation of the sample was 2.1 minutes. At a 0.025 level of
significance, is there enough evidence to support the shop’s claim?
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Assuming normality, s unbiased estimator of sigma, random sample, etc.
do 1 way
test stat is a t
critical value is t0.975, df=5, t<2.571
calc is (x bar-mean)/s/sqrt (6)
this is -0.4/2.1/sqrt(6) =-0.47
fail to reject with insufficient evidence to support the claim at the 0.025 level
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