Question 1086669
The average greyhound can reach a top speed of 18.5 meters per second. A particular greyhound breeder claims her dogs are faster than the average greyhound. A sample of 40 of her dogs ran, on average, 19.2 meters per second with a population standard deviation of 1.2 meters per second. With α = 0.05, is her claim correct?
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Ho: u <= 18.5
Ha: u > 18.5 (claim)
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Critical region:: z >= 1.96
x-bar = 19.2
z(19.2) = (19.2-18.5)/(1.2/sqrt(40)) = 3.689
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Conclusion:: Reject Ho because the test statistic is in the
reject region.
Therefore, accept Ha which states the claim.
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Answer::
c. Yes, because the test value 3.69 falls in the critical region.
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Cheers,
stan H.