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?
a. Yes, because the test value 0.09 falls in the noncritical region.
b. No, because the test value 0.09 falls in the critical region.
c. Yes, because the test value 3.69 falls in the critical region.
d. No, because the test value 0.70 falls in the critical region.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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