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A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard...

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Basic Math

A cola-dispensing machine is set to dispense 8 ounces of colaper cup, with a standard deviation of 1.0 ounce. The manufacturerof the machine would like to set the control limit in such a waythat, for samples of 34, 5% of the sample means will be greaterthan the upper control limit, and 5% of the sample means will beless than the lower control limit.

  1. At what value should the control limit be set? (Round zvalues to two decimal places. Round your answers to 2 decimalplaces.)
  2. If the population mean shifts to 7.6, what is the probabilitythat the change will not be detected? (Round yourintermediate calculations to 2 decimal places and final answer to 4decimal places.)
  3. If the population mean shifts to 8.7, what is the probabilitythat the change will not be detected? (Round yourintermediate calculations to 2 decimal places and final answer to 4decimal places.)

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