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    Gibbs Baby Food Company: State the null & alternative hypotheses and design the study and select a level of significance

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    The Gibbs Baby Food Company wishes to compare the weight gain of infants
    using their brand versus their competitor's. A sample of 40 babies using
    the Gibbs products revealed a mean weight gain of 7.6 pounds in the
    first three months after birth. The standard deviation of the sample was
    2.3 pounds. A sample of 55 babies using the competitor's brand revealed
    a mean increase in weight of 8.1 pounds, with a standard deviation of
    2.9 pounds. At the .05 significance level, can we conclude that babies
    using the Gibbs brand gained less weight? Compute the p-value and
    interpret it. Set this up using the 5-step hypothesis testing procedure
    outlined in your textbook:

    1. State the null & alternative hypotheses - remember that the
    alternative hypothesis is our research question

    2. Design the study and select a level of significance (alpha) -
    here, it's given to us

    3. Identify the test statistic - which of the formulas will work
    best with our data?)

    4. Formulate a decision rule - under what conditions can we reject
    the null hypothesis and accept the alternate?

    5. Take a sample and arrive at a decision to reject or not reject
    the null - write a short summary statement communicating your decision

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