3- The quality assurance department for Pepsi Distributors, Inc. maintains meticulous records on the bottling line for two-liter Pepsi bottles. Records indicate that the process follows the normal probability distribution with a mean amount per bottle of 2.01 liters and a standard deviation of 0.025 liters. The foreman randomly selects 25 bottles from the bottling line and determines that the mean amount per bottle is 2.005 liters a- Compute the sampling error b- Compute the standard error of the sampling distribution of sample means. c- Compute the probability that the sample of 25 bottles would have a mean of 2.005 liters or more. d- Suppose the foreman selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the sample of 16 bottles would have a mean of 1.994 liters or more.
3- The quality assurance department for Pepsi Distributors, Inc. maintains meticulous records on the bottling line for two-liter Pepsi bottles. Records indicate that the process follows the normal probability distribution with a mean amount per bottle of 2.01 liters and a standard deviation of 0.025 liters. The foreman randomly selects 25 bottles from the bottling line and determines that the mean amount per bottle is 2.005 liters a- Compute the sampling error b- Compute the standard error of the sampling distribution of sample means. c- Compute the probability that the sample of 25 bottles would have a mean of 2.005 liters or more. d- Suppose the foreman selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the sample of 16 bottles would have a mean of 1.994 liters or more.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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a.) Compute the sampling error
b.) Compute the standard error of the sampling distribution of sample means.
c.) Compute the probability that the sample of 25 bottles would have a
d.) Suppose the foreman selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the samples of 16 bottles would have a mean of 1.994 liters or more.
Transcribed Image Text:3-
The quality assurance department for Pepsi Distributors, Inc. maintains meticulous records on the bottling line for two-liter Pepsi bottles. Records indicate
that the process follows the normal probability distribution with a mean amount per bottle of 2.01 liters and a standard deviation of 0.025 liters. The foreman
randomly selects 25 bottles from the bottling line and
determines that the mean amount per bottle is 2.005 liters
a- Compute the sampling error
b- Compute the standard error of the sampling distribution of sample means.
c- Compute the probability that the sample of 25 bottles would have a mean of 2.005 liters or more.
d- Suppose the foreman selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the sample of 16 bottles
would have a mean of 1.994 liters or more.
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