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    Statistics - Null Hypothesis

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    A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. What is the decision rule at the 0.01 level of significance to test if the new design increased the absorption amount of the sponge?

    a Do not reject null hypothesis if computed t is less than 2.580
    b Do not reject null hypothesis if computed t is less than 2.821
    c Reject null hypothesis if computed z is 1.96 or larger
    d Reject null hypothesis if computed t is less than 2.764

    © BrainMass Inc. brainmass.com June 3, 2020, 9:35 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/statistics-null-hypothesis-absorption-capacity-sponge-189349

    Solution Preview

    H0: x-bar - mu (not greater than 0) vs Ha: x-bar - mu > 0

    n = 10, Degrees of freedom ...

    Solution Summary

    The expert examines the null hypothesis for absorption capacity of a sponge. Neat, step-by-step solution is provided.

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