Task:In a certain factory, production can beaccomplished by four different workers onfive diffferent types of machines. A simplestudy, in context of a two-way designwithout repeated values, is being made withtwo fold objectives of examining whetherthe four workers differ with respect to meanproductivity and whether the meanproductivity is the same for the fivedifferent machines. The researcher involvedin this study reports while analysing thegathered data as under :i: Sum of squares for variance betweenmachines = 35.2%3D(ii) Sum of squares for variance betweenworkmen = 53.8%3D(iii) Sum of squares for total variance =174.2Set up ANOVA table for the giveninformation and draw the inference aboutvariance at 5 per cent level of significance.

Answered: Image /qna-images/answer/0f010e89-076b-48b6-83ba-a650ba83ace8.jpg

Answered: Task: In a certain factory, production…

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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Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 36 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 12 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 = 12,120; SSTR = 4,540. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Mean Degrees of Freedom F p-value of Variation of Squares Square Treatments 4540 2270 9.88 Error 7580 33 229.70 Total 12120 35 (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. Ho: H1 = "2 = H3 Ha: H1 * 42 + H3 Ho: H1 # H2 # 43 Ha: H1 = #2 = #3 Ho:…
1. A purification process for a chemical involves passing it, in solution, through a resin on which impurities are adsorbed. A chemical engineer wishing to test the efficiency of 3 different resins took a chemical solution and broke it into 15 batches. She tested each resin 5 times and then measured the concentration of impurities after passing through the resins. The results of the Analysis of Variance on the data are shown below. Analysis of Variance Table Response: concentration Df Sum Sq Mean Sq F value Pr(>F) resin 2 1.45E-05 7.27E-06 0.048737 0.9526 Residuals 12 0.001789 0.000149 a.) Interpret the result of the Analysis of Variance (ANOVA). What is the statistical decision and corresponding conclusion? b.) What is the implication of the results obtained from the analysis of the data?
"A large candy manufacturer produces, packages and sells packs of candy targeted to weigh 52 grams. A quality control manager working for the company was concerned that the variation in the actual weights of the targeted 52-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 52-grams and some weighed significantly more than 52 grams. In an attempt to estimate the variance of the weights of all of the 52-gram packs the manufacturer makes, he took a random sample of n = 20 packs off of the factory line. The random sample yielded a sample variance of 3.5 grams. Use 90% confidence level. What is the confidence interval for the variance of the weight of the candy?"
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 =10,870; SSTR =4580. a. Set up the ANOVA table for this problem (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 4580 Error 6290 Total 10870 b.Use a = 0.05 to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? Select your answer -
Three different methods for assembling a product were proposed by an Industrial engineer. To investigate the number of units assembled correctly with each method, 36 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 12 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 = 12,750; SSTR = 4,510. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Degrees of Freedom Sum Mean of Variation of Squares Square p-value Treatments Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. Ho: H H2 H3 H H- H2=H3 O Ho: Hy=H2-H H H H2 Hy Ho: At least two of the population means are equal. H3: At least…
The grams of carbohydrates for cereals made by three popular cereal manufacturers (Kellogg, General Mills, and Post) were collected and a one-way ANOVA was performed, as displayed in the table below. Analysis of Variance results: Where: mfr="General Mills" or mfr="Kellogg" or mfr="Post" Responses: carbo Factors: mfr Response statistics by factor mfr="General Mills" or mfr="Kellogg" or mfr="P Carbohydrates 20 mir General Mills 22 14.727273 no Means Std. Dev. Std. Error + 3.3478041 0.71375423 15 Kellogg Post 23 15.130435 4.4650598 0.93102933 9 13.222222 1.9220938 0.64069792 ANOVA table Source DF mi SS MS F-Stat P-value 2 23.786927 11.893464 0.86217854 0.4283 51 703.52789 13.794664 10 Total 153 727.31481 General Mills Kellogg Manufacturer Post Which manufacturer has the highest median grams of carbohydrates? Post O Cannot be determined. O General Mills Kellogg myhip

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