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    What is the mean weight of a box of cereal?

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    A cereal company claims that the average weight of its cereal packages is 14 ounces. Eight packages are tested and the weights given below are measured. Test the claim at α=.0.01

    14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2

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    Solution Preview

    In the present problem, there is one sample mean; however, the population parameters are not known. Thus, we should use the single sample t-test when the µx is known, but σ is unknown.
    Below is the test of the null hypothesis using the t-test.

    1. Hypothesis:
    µ is the population mean.
    H0: µ = 14
    HA: µ ≠ 14
    2.Calculate the ...

    Solution Summary

    The solution addresses the claim that the average weight of its cereal packages is 14 ounces using the sample data. Calculations and interpretation of results are included.