Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.Set up the ANOVA table for this problem (to 2 decimals, if necessary). Round p-value to four decimal places.Source of VariationSum of SquaresDegrees of FreedomMean SquareFp-valueTreatments Error Total Use = .05 to test for any significant difference in the means for the three assembly methods.The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11 What is your conclusion?SelectConclude not all means of the three assembly methods are equal can not reject the assumption that the means of all three assembly methods are equalItem 12

Given that SST = 10,800; SSTR = 4560. The sum of squares of error is, SST=SSTR+SSE 10,800=4560+SSE…

Answered: an industrial engineer. To investigate…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

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Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.

Set up the ANOVA table for this problem (to 2 decimals, if necessary). Round p-value to four decimal places.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value

Treatments

Error

Total
Use = .05 to test for any significant difference in the means for the three assembly methods.

The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11

What is your conclusion?
SelectConclude not all means of the three assembly methods are equal can not reject the assumption that the means of all three assembly methods are equalItem 12

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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