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A certain brand of apple juice is supposed to have 64 ounces of juice. Because the penalty for under-filling bottles is so severe, the target mean...
A certain brand of apple juice is supposed to have 64 ounces of juice. Because the penalty for under-filling bottles is so severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over-filling or under-filling the bottles. She randomly samples 22 bottles of juice, measures the content, and obtains a mean of 64.022 ounces and a standard deviation of .04 ounces. She determines the data is normally distributed. Should the assembly line be shut down so that the machine can be recalibrated? Use a .01 level of significance.a) state the null hypothesis and the alternative hypothesisb) sketch the sampling distributionc) determine the critical values and mark them on your sketchd) determine the rejection region(s) and shade on your sketche) calculate the standardized test statistic and mark on your sketchf) determine whether to accept or reject the null hypothesisg) interpret your decision in the context of the original claim. (Be sure to write a complete sentence as your interpretation.)If you are using P-tests instead of the traditional method, parts c), d), and e) become •
