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In: Statistics and Probability

The “fun size” of a Snickers bar is supposed to weigh 20 grams. The manufacture calibrates...

  1. The “fun size” of a Snickers bar is supposed to weigh 20 grams. The manufacture calibrates the machine so that the mean is 20.1 grams. The quality-control engineer takes a random sample of 11 candy bars and finds the weights in grams are:
    19.68, 19.98, 20.55, 21.50, 20.66, 20.65, 20.36, 19.74, 19.56, 19.61, 21.02
    Suppose that the standard deviation of the weight of the candy was 0.75 grams before a machine recalibration. The engineer wants to know if the recalibration resulted in more consistent weights. Conduct the appropriate test at the alpha = 0.05 level of significance. To answer this, complete the following steps.
    (a) State the appropriate Null Hypothesis and Alternate Hypotheses
    (b) From the table of data, find the sample standard deviation.
    (c) Find the appropriate Test Statistic
    (d) Complete your analysis, finding and comparing any necessary values, and explain what your results determine about the hypothesis statements for this situation.

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