As a baker you know from experience that the standard deviation of the weight of 10lbs packages of cookies is 0.20 lbs. To check whether the true average is, on a given day, 10 pounds, you select a random sample of 36 packages and find that their mean weight is 9.45 lbs. Perform a two-tailed z-test on this data, checking at the alpha= .01 significance level.
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