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Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the thre 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 =10,790; SSTR =4520. 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 Error Total

Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the thre 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 =10,790; SSTR =4520. 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 Error Total

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 9SGR
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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: \( \text{SST} = 10,790; \, \text{SSTR} = 4520. \) 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 | | | | | | | Error | | | | | | | Total | | | | | | b. Use \( \alpha = 0.05 \) to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals). \[ \text{Test statistic:} \] \_\_\_\_\_\_\_ The \( p \)-value is \(- \text{Select your answer} -\) What is your conclusion? \(- \text{Select your answer} -\)
Transcribed Image Text: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: \( \text{SST} = 10,790; \, \text{SSTR} = 4520. \) 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 | | | | | | | Error | | | | | | | Total | | | | | | b. Use \( \alpha = 0.05 \) to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals). \[ \text{Test statistic:} \] \_\_\_\_\_\_\_ The \( p \)-value is \(- \text{Select your answer} -\) What is your conclusion? \(- \text{Select your answer} -\)
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