Three suppliers provide parts in shipments of 500 units. Random samples of six shipments from each of the three suppliers were carefully checked, and the numbers of parts not conforming to standards were recorded. These numbers are listed in the following table:Supplier A Supplier B Supplier C 28 22 33 37 27 29 34 29 39 29 20 33 31 18 37 33 30 38a. Prepare the analysis of variance table for these data.b. Test the null hypothesis that the population mean numbers of parts per shipments not conforming to standards are the same for all three suppliers.c. Compute the minimum significant difference and indicate which subgroups have different means.
Three suppliers provide parts in shipments of 500 units. Random samples of six shipments from each of the three suppliers were carefully checked, and the numbers of parts not conforming to standards were recorded. These numbers are listed in the following table:Supplier A Supplier B Supplier C 28 22 33 37 27 29 34 29 39 29 20 33 31 18 37 33 30 38a. Prepare the analysis of variance table for these data.b. Test the null hypothesis that the population mean numbers of parts per shipments not conforming to standards are the same for all three suppliers.c. Compute the minimum significant difference and indicate which subgroups have different means.
Three suppliers provide parts in shipments of 500 units. Random samples of six shipments from each of the three suppliers were carefully checked, and the numbers of parts not conforming to standards were recorded. These numbers are listed in the following table:Supplier A Supplier B Supplier C 28 22 33 37 27 29 34 29 39 29 20 33 31 18 37 33 30 38a. Prepare the analysis of variance table for these data.b. Test the null hypothesis that the population mean numbers of parts per shipments not conforming to standards are the same for all three suppliers.c. Compute the minimum significant difference and indicate which subgroups have different means.
Three suppliers provide parts in shipments of 500 units. Random samples of six shipments from each of the three suppliers were carefully checked, and the numbers of parts not conforming to standards were recorded. These numbers are listed in the following table: Supplier A Supplier B Supplier C 28 22 33 37 27 29 34 29 39 29 20 33 31 18 37 33 30 38
a. Prepare the analysis of variance table for these data. b. Test the null hypothesis that the population mean numbers of parts per shipments not conforming to standards are the same for all three suppliers. c. Compute the minimum significant difference and indicate which subgroups have different means.
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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