A cola-dispensing machine is set to dispense 11 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer of the machine would like to set the control limit in such a way that, for samples of 35, 5% of the sample means will be greater than the upper control limit, and 5% of the sample means will be less than the lower control limit. a. At what value should the control limit be set? (Round z values to two decimal places. Round your answers to 2 decimal places.) Answer is complete and correct. Value should be in between 10.72 O and 11.28 O b. If the population mean shifts to 10.7, what is the probability that the change will not be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.) Answer is complete but not entirely correct. Probability 0.5481 X

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A cola-dispensing machine is set to dispense 11 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer of
the machine would like to set the control limit in such a way that, for samples of 35, 5% of the sample means will be greater than the
upper control limit, and 5% of the sample means will be less than the lower control limit.
a. At what value should the control limit be set? (Round z values to two decimal places. Round your answers to 2 decimal places.)
Answer is complete and correct.
Value should be in between
10.72 O and
11.28
b. If the population mean shifts to 10.7, what is the probability that the change will not be detected? (Round your intermediate
calculations to 2 decimal places and final answer to 4 decimal places.)
X Answer is complete but not entirely correct.
Probability
0.5481 X
Transcribed Image Text:A cola-dispensing machine is set to dispense 11 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer of the machine would like to set the control limit in such a way that, for samples of 35, 5% of the sample means will be greater than the upper control limit, and 5% of the sample means will be less than the lower control limit. a. At what value should the control limit be set? (Round z values to two decimal places. Round your answers to 2 decimal places.) Answer is complete and correct. Value should be in between 10.72 O and 11.28 b. If the population mean shifts to 10.7, what is the probability that the change will not be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.) X Answer is complete but not entirely correct. Probability 0.5481 X
b. If the population mean shifts to 10.7, what is the probability that the change will not be detected? (Round your intermediate
calculations to 2 decimal places and final answer to 4 decimal places.)
X Answer is complete but not entirely correct.
Probability
0.5481 X
c. If the population mean shifts to 11.7, what is the probability that the change will not be detected? (Round your intermediate
calculations to 2 decimal places and final answer to 4 decimal places.)
X Answer is complete but not entirely correct.
Probability
0.9934
Transcribed Image Text:b. If the population mean shifts to 10.7, what is the probability that the change will not be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.) X Answer is complete but not entirely correct. Probability 0.5481 X c. If the population mean shifts to 11.7, what is the probability that the change will not be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.) X Answer is complete but not entirely correct. Probability 0.9934
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