b. Set up and complete an ANOVA table for a one-way analysis. Show all work.
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- We have presented partially completed two-way ANOVA tables for a balanced ANOVA. a. fill in the missing entries. b. determine the number of levels for each factor. c. determine the common sample size.ShopEasy Inc. is a specialty e-tailer that operates 87 catalogue websites on the Internet. Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.) of a website may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalogue websites to each design style. Analysis of Larson's data yielded the following ANOVA table: Source of Variation Between Groups Within Groups Total 0.1333 0.5022 O 22.4567 17.5054 SS O 1.9911 df 68102.33 2 34051.17 Using a = 0.05, the observed F value is MS 29177.67 15 1945.178 97280 17 FTeachers told their students that they would either receive praise, candy, or money after completing their homework on time. Below you will find a table of the number of homework completed by 15 children in one week. In addition, you will find the Means, Totals, and Sum of Squares values below each column for each treatment. Is there enough evidence to show that the type of reward affects the number of homework completed? Compute a one-way ANOVA following the steps below. Treatment: Praise Candy Money 0 2 2 0 4 3 2 0 1 1 1 4 2 3 5 M1= 1 M2= 2 M3= 3 T= 5 T=10 T= 15 SS1= 4 SS2=10 SS3=10 Compute the following values: N = # of total scores = G = ∑T= grand total of all scores= ∑X2= k = # of conditions = n = # per group = For the data above in the table, calculate SSTotal: SStotal = ΣX2 – (G2/N) = Now, calculate SSwithin: SSwithin = ΣSSeach treatment = Finally, calculate SSbetween:…
- State the four assumptions for one-way ANOVA, and explain how those assumptions can be checked.After finding the mean, median, SD and CV, what can be concluded about the performance characteristics of the analysis?A research team is hired to investigate the prevalence of periodontal disease in a rural countywith a low average socio-economic status. The team is given the task of surveying the area, andproviding a brief examination of participants to correctly identify cases of periodontal diseaseand estimate an overall prevalence. If the team identifies an overall prevalence of above 25%, thesponsoring organization is to initiate an active campaign promoting healthy dental practice. Outof 2,879 participants surveyed, 589 were identified to have periodontal disease. A) Conduct a formal test for detecting if the prevalence of periodontal disease in the sample issignificantly different from the minimum prevalence for intervention. Use an alpha level of 0.01.B) Interpret your conclusions.
- A bank branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1:00 P.M. lunch period. The waiting time, in minutes, is defined as the time the customer enters the line to when he or she reaches the teller window. Data are collected from a sample of 15 customers during this hour. Another bank branch, located in a residential area, is also concerned with the noon-to-1 P.M. lunch hour. The waiting times, in minutes, are also collected from a sample of 15 customers during this hour. Complete parts (a) through (c) below. The following is the list of time data gathered from the bank branch in the commercial district. 4.55 5.89 3.44 5.03 4.08 2.25 3.65 3.58 4.69 6.03 0.66 5.72 6.17 6.65 3.38 The following is the list of time data gathered from the bank branch in the residential district. 9.44 5.07 8.98 5.13 8.87…Three different milling machines were being considered for purchase by a clothes manufacturing company. The company would be purchasing hundreds of these machines. To make sure it made the best decision, the company borrowed five of each machine which is assigned to 15 technicians. Each machine was put through a series of tasks and was rated using a standardized test. The following data were obtained. Perform an ANOVA on these data at 1% level of significanceState the three assumptions required for a two-way ANOVA. How crucial are these assumptions?
- We have presented partially completed two-way ANOVA tables for a balanced ANOVA. a. fill in the missing entries. b. determine the number of levels for each factor. c. determine the common sample size.Q18. Why do we conduct post hoc analysis in ANOVA? a. To make a comparison on individual adjusted R-squares B. To make a comparison of the individual group meansC. To make a comparison of the individual group scatter plots D. None of the aboveA bank branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1:00 P.M. lunch period. The waiting time, in minutes, is defined as the time the customer enters the line to when he or she reaches the teller window. Data are collected from a sample of 15 customers during this hour. Another bank branch, located in a residential area, is also concerned with the noon-to-1 P.M. lunch hour. The waiting times, in minutes, are also collected from a sample of 15 customers during this hour. Complete parts (a) through (c) below. The following is the list of time data gathered from the bank branch in the commercial district. 4.74 5.93 3.63 5.38 4.19 2.86 3.84 3.21 4.09 6.48 0.84 5.41 6.04 6.42 3.31 The following is the list of time data gathered from the bank branch in the residential district. 9.67 5.82 8.63 5.97 8.03…