# OSU BUSMGT 2320 - Recitation Practice Problems One-Way ANOVA Part I (3 pages)

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## Recitation Practice Problems One-Way ANOVA Part I

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- School:
- Ohio State University
- Course:
- Busmgt 2320 - Decision Sciences: Statistical Techniques

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Recitation Practice Problems One Way ANOVA Part I 1 The average amount of time required to complete a particular task in an assembly process needs to be estimated Twelve workers were randomly selected to complete the task The time required in minutes by each of the 12 workers was carefully measured and recorded To ease the calculation burden we ll pretend that the times required were all exact to a minute Data 10 3 5 5 4 9 7 5 10 5 6 3 x 6 s 2 68 11 6 1818 Calculate the 95 confidence interval estimate of the mean time required to complete the task Identify the margin of error Work Answer 6 1 580 CI 4 420 7 580 Suppose that this one task can be done with 3 machine types Machine A Machine B or Machine C Suppose further that the 12 workers were randomly assigned to do the task with one of the 3 machines The collected times can now be summarized as follows 2 A Machine B 6 4 5 5 xB 5 2 B Machine C 10 10 7 9 xC 9 2 C 1 333 s 0 667 s 2 000 sA 1 155 sB 0 816 sC 1 414 s Individual Value Plot of Machine A Machine B Machine C 10 9 8 Data Machine A 5 3 3 5 xA 4 7 6 5 4 3 Machine A Terminology Match the term in Column 1 with the correct item in column 2 Column 1 Term Column 2 Item Response Variable Worker Factor 4 N 3 Treatment Time to complete the task Experimental Unit Type of machine I 12 n1 Machine A Machine B Machine C Recitation Practice Problems One Way ANOVA Part I Calculations Complete the One way ANOVA Summary Table ANOVA Summary Table Source of Variation Sum of Squares SS DF Mean Squares MS F ratio Between Within Total Check your answers One way ANOVA Machine A Machine B Machine C Source Factor Error Total DF 2 9 11 S 1 155 SS 56 00 12 00 68 00 MS 28 00 1 33 R Sq 82 35 F 21 00 P 0 000 R Sq adj 78 43 Hypotheses State the null and alternative hypotheses for the One way ANOVA test to determine if the time required to complete the task on average is not the same with all 3 machine types H0 Ha Decision Rule Draw the completely labeled decision rule using a 5 significance

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