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A researcher gives feed A to a randomly selected sample of 12 pigs and gives feed B to a

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different randomly selected sample of 17 pigs. The sample of 12 showed an average

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weight gain of 16 pounds in one week with a standard deviation of 4 pounds. The other

sample gave an average weight gain of 15 pounds with a standard deviation of 7 pounds.

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Assume the population standard deviations are equal , = 62 = G. Required value of t

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(a) Using a = 0.05, is there sufficient evidence to support the claim that feed A produces a higher average

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weight gain than feed B? Use the Classical method and assume the parent populations are normally

distributed. (b) Construct an appropriate confidence interval for the difference of the means.

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(a) Test Statistics

O Reject Ho

O Fail to reject Ho

(b) 90% Confidence Interval =

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