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 samples 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 indicatethat 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 foremanrandomly selects 25 bottles from the bottling line anddetermines that the mean amount per bottle is 2.005 litersa- Compute the sampling errorb- 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 bottleswould have a mean of 1.994 liters or more.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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 samples 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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