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Large sample hypothesis test for a population mean

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The average speed of greyhound dogs is about 18.8 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 45 of her dogs, they ran, on average, 19.2 meters per second with a standard deviation of 1.4. Is her claim correct if she is willing to accept an error rate of 2.5 out of 100?

A) Yes, because 1.92 falls in the noncritical region.
B) No, because 0.04 falls in the noncritical region.
C) Yes, because 0.04 falls in the noncritical region.
D) No, because 1.92 falls in the noncritical region.

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This solution is a detailed, step-by-step example of how to conduct and interpret a large sample hypothesis test for a population mean.

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