In the attached picture, the data for the perceived level of stress of 30 employees is recorded. Also, researchers exposed the employees to either early or late stressors before completing the stress questionnaire. Attached is also the output for the data after conducting a two way ANOVADiscuss the two kinds of variance here, and indicate how they are compared to conclude a significant difference. Anova: Two-Factor With ReplicationSUMMARYLowModerateHighTotalEarlyCount515Sum12.77612.40810.76835.952Average2.55522.48162.15362.3968Variance0.14581120.08647680.0751728 0.120498743LateCount55515Sum14.28812.61611.09638Average2.85762.52322.2192 2.533333333Variance0.02483680.06180320.18021120.14907581TotalCount101010Sum27.06425.02421.864Average2.70642.50242.1864Variance0.10124516 0.066382933 0.114699378ANOVASource of VariationdfMSP-valueFcritSample- timing0.139810131 0.139810133 1.460636031 0.238602241 4.259677272 0.686453333 7.171572246 0.003616448 3.402826112 0.051944533 0.542679241 0.588154143 3.40282611Columns- stress level1.37290667Interaction b/w stress level and timing 0.10388907Within2.29724824 0.095718667Total3.9138538729 Stress LevelLowModerateHigh2.62.72.22.42.72.3Early2.32.12.02.32.72.53.22.31.8Timing2.72.92.82.92.22.1Late2.72.61.83.02.41.93.02.52.5

Two-way ANOVA Two-way ANOVA estimates how group means differ when there are two categorical…

Anova: Two-Factor With Replication SUMMARY Low Moderate High Total Early Count 5 5 15 Sum 12.776 12.408 10.768 35.952 Average Variance 2.5552 2.4816 2.1536 2.3968 0.1458112 0.0864768 0.0751728 0.120498743 Late Count Sum 5 5 5 15 14.288 12.616 11.096 38 Average Variance 2.8576 2.5232 2.2192 2.533333333 0.0248368 0.0618032 0.1802112 0.14907581 Total Count 10 10 10 Sum 27.064 25.024 21.864 Average 2.7064 2.5024 2.1864 Variance 0.10124516 0.066382933 0.114699378 ANOVA Source of Variation df P-value Fcrit SS MS 1 0.139810133 1.460636031 0.238602241 4.25967727 2 0.686453333 7.171572246 0.003616448 3.40282611 2 0.051944533 0.542679241 0.588154143 3.40282611 Sample - timing 0.13981013 Columns - stress level 1.37290667 Interaction b/w stress level and timing 0.10388907 Within 2.297248 24 0.095718667 Total 3.91385387 29

Anova: Two-Factor With Replication SUMMARY Low Moderate High Total Early Count 5 5 15 Sum 12.776 12.408 10.768 35.952 Average Variance 2.5552 2.4816 2.1536 2.3968 0.1458112 0.0864768 0.0751728 0.120498743 Late Count Sum 5 5 5 15 14.288 12.616 11.096 38 Average Variance 2.8576 2.5232 2.2192 2.533333333 0.0248368 0.0618032 0.1802112 0.14907581 Total Count 10 10 10 Sum 27.064 25.024 21.864 Average 2.7064 2.5024 2.1864 Variance 0.10124516 0.066382933 0.114699378 ANOVA Source of Variation df P-value Fcrit SS MS 1 0.139810133 1.460636031 0.238602241 4.25967727 2 0.686453333 7.171572246 0.003616448 3.40282611 2 0.051944533 0.542679241 0.588154143 3.40282611 Sample - timing 0.13981013 Columns - stress level 1.37290667 Interaction b/w stress level and timing 0.10388907 Within 2.297248 24 0.095718667 Total 3.91385387 29

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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