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    Small sample t-test for a population mean

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    Experience raising New Jersey Red chickens revealed the average weight of the chickens at age 5 months to be 4.35 lbs. The weights are normally distributed.

    In an effort to increase their weight, a special additive was mixed with the chicken feed. The subsequent weights of a sample of five-month-old chickens were (in pounds): 4.41, 4.37, 4.33, 4.35, 4.30. Level of significance = 0.01.

    1. Has the special additive increased the weight of the chickens?

    2. State the hypothesis to be tested, the decision rule, the test statistic and the decision.

    3. Estimate the p-value

    4. In the context of your hypothesis, write out in words what making a type I error would mean.

    Please provide detailed answers so that I can verify my answers and the calculations to my answers are proper/correct. Thank you.

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    I have attached a Word document with detailed calculations and explanations of all calculations for performing a small sample hypothesis test (t-test) regarding a population mean.

    Experience raising New Jersey Red chickens revealed the average weight of the chickens at age 5 months to be 4.35 lbs. The weights are normally distributed.

    In an effort to increase their weight, a special additive was mixed with the chicken feed. The subsequent weights of a sample of five-month-old chickens were (in pounds): 4.41, 4.37, 4.33, 4.35, 4.30. Level of significance = 0.01.

    1. Has the special additive increased the weight of the chickens?

    2. State the hypothesis to be tested, the decision rule, the test statistic and the decision.

    3. Estimate the p-value

    4. In the context of your hypothesis, write out in words what making a type I error would mean.

    Please provide detailed answers so that I can verify my answers and the calculations to my answers are proper/correct. Thank you.

    Solution

    Detailed calculations are shown below. Verbal explanations are provided here.

    1. Has the special additive ...

    Solution Summary

    This solution shows detailed hand calculations for performing a small sample hypothesis test (t-test) regarding a population mean.

    $2.49

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