The Fallbrook Distributing Company has a soft drink bottling plant in Plano, Texas. Based on historical records, if its filling machine is working properly, the mean fill volume per can is 12.0 ounces with a standard deviation equal to 0.13 ounce.
Further, the distribution of fill amounts is known to be normally distributed. The State of Texas has a department whose job it is to check on such consumer-related processes as soft drink filling. The idea is to protect the consumer. The department arrives at the Fallbrook plant once a month on an unscheduled day. When they arrive, they randomly select n = 4 cans and carefully measure the volume in each can. If any of these cans contains less than 11.85 ounces, the plant is shut down until a full inspection of the filling process is performed. Based on this information, the probability that the plant will get shut down if it is operating properly is approximately 0.1251. Indicate whether the statement is true or false
Question 2
A production process that fills 12-ounce cereal boxes is known to have a population standard deviation of 0.009 ounce.
If a consumer protection agency would like to estimate the mean fill, in ounces, for 12-ounce cereal boxes with a confidence level of 92 and a margin of error of 0.001, what size sample must be used?A) 249
B) 351
C) 512
D) 211
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