Question
The Coca-Cola Bottling Company states on their cans that the amount of contents in a standard can is 12 fluid ounces.They have precisely calibrated machines
- The Coca-Cola Bottling Company states on their cans that the amount of contents in a standard can is 12 fluid ounces.They have precisely calibrated machines to fill their cans to the specified amounts.If the cans are under-filled, then they run the risk of customer dissatisfaction, while if the cans are over-filled, they will lose money on their product.To maintain quality control, they often sample cans, at random, from their process and determine the average quantity in each can on the line.If the process is out of control, then the entire line must be halted for the machines to be recalibrated. Therefore the process is only halted when the process is extremely out of control.
In one such quality check, 64 cans were sampled, and the following sample information was collected:
Sample Mean: 12.05 fluid ounces
Sample Standard Deviation: 0.1 fluid ounces
a.What are the null and alternative hypotheses for this test?
b.Which hypothesis test should you use for this experiment?
c.What assumptions are you making for this hypothesis test?
d.State the decision rule for your test, including the form of the test statistic and the critical value.
e.Is your sample mean statistically different from the hypothesized population mean?
f.Is your sample mean practically different from the hypothesized mean?
g.Do you halt the line?
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