Homework Answers
from given data:
| Source | SS | df | MS | F | p value |
| between | 11.43 | 3 | 3.8100 | 3.645 | 0.018 |
| within | 58.54 | 56 | 1.0454 | ||
| total | 69.97 | 59 |
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CH13 Q2
a. Given the following information obtained from four normally distributed populations, construct an ANOVA...
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round...
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "P' to 3 decimal places.) SSTR = 220.7; SSE = 2,252.2; c = 3; ni = n2 = n3 = 8 ANOVA Source of Variation SS df MS F p-value Between Groups 0.375 Within Groups 0.00 0 Total b. At the 1% significance level,...
a. Given the following information obtained from four normally distributed populations, construct an ANOVA table. (Round...
a. Given the following information obtained from four normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "f' to 3 decimal places.) SST = 78.95; SSTR = 18. 16; C = 4; n1 = n2 = n3 = n4 = 15 df ANOVA Source of Variation Between Groups Within Groups Total p-value 0.002 b. At the 10% significance level, what is...
CH13 Q5 The following observations were obtained when conducting a two-way ANOVA experiment with no interaction....
CH13 Q5
The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Factor A X for Factor B 2.500 8.000 13.750 Factor B 15 9.667 13 8.000 16 8.333 Xi for Factor A 6.000 X 8.083 a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4...
CH13 Q9 A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA...
CH13 Q9
A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F' to 3 decimal places.) ANOVA Source of Variation Sample Columns df MS 770.76 12,351.18 55.10 693.74 13,870.78 F Factor B- F Factor A F Interaction- 2 MSB 1MSA- Within 12 MSE- 17 Total
CH13 Q10 A consumer advocate examines whether the longevity of car batteries (measured in years) is...
CH13 Q10
A consumer advocate examines whether the longevity of car batteries (measured in years) is affected by the brand name (factor A) and whether or not the car is kept in a garage (factor B). Interaction is suspected. The results are shown in the accompanying table Brand Name of Batter Kept in Garage? Yes No 7, 8, 6 7, 6, 7 9, 7, 10 7, 7, 6 5, 4, 5 6, 6, 6 he a-1. Construct an ANOVA table....
CH13 Q6 The following output summarizes a portion of the results for a two-way analysis of...
CH13 Q6
The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS"...
CH13 Q8 A two-way analysis of variance experiment with interaction was conducted. Factor A had three...
CH13 Q8
A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. The results include the following sum of squares terms: SST 1548 SSA 1022 SSB 390 SSAB 26 a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F' to 3 decimal places.) Answer is not complete. ANOVA...
Exercise 13-45 Algo A researcher conducts a two-way ANOVA test with interaction and provides the following...
Exercise 13-45 Algo A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA table. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation SS df MS F p-value Sample 776.84 2 MSB = F Factor B = 0.010 Columns 12,425.44 1 MSA = F Factor A = 4.57E-09 Interaction 56.25 2...
CH13 Q7 Given a recent outbreak of illness caused by E. coli bacteria, the mayor in...
CH13 Q7
Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's cleanliness In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of O to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. (You may find it useful to reference the g table.) Restaurant Inspector...
An accounting professor wants to know if students perform the same on the departmental final exam irrespective of the accounting section they attend. She randomly selects the exam scores of 39 studen...
An accounting professor wants to know if students perform the same on the departmental final exam irrespective of the accounting section they attend. She randomly selects the exam scores of 39 students from four sections. A portion of the output from conducting a one-way ANOVA test is shown in the accompanying table. Assume exam scores are normally distributed. a. Find the missing values in the ANoVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS to 2...
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "P' to 3 decimal places.) SSTR = 220.7; SSE = 2,252.2; c = 3; ni = n2 = n3 = 8 ANOVA Source of Variation SS df MS F p-value Between Groups 0.375 Within Groups 0.00 0 Total b. At the 1% significance level,...
a. Given the following information obtained from four normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "f' to 3 decimal places.) SST = 78.95; SSTR = 18. 16; C = 4; n1 = n2 = n3 = n4 = 15 df ANOVA Source of Variation Between Groups Within Groups Total p-value 0.002 b. At the 10% significance level, what is...
CH13 Q5
The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Factor A X for Factor B 2.500 8.000 13.750 Factor B 15 9.667 13 8.000 16 8.333 Xi for Factor A 6.000 X 8.083 a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4...
CH13 Q9
A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F' to 3 decimal places.) ANOVA Source of Variation Sample Columns df MS 770.76 12,351.18 55.10 693.74 13,870.78 F Factor B- F Factor A F Interaction- 2 MSB 1MSA- Within 12 MSE- 17 Total
CH13 Q10
A consumer advocate examines whether the longevity of car batteries (measured in years) is affected by the brand name (factor A) and whether or not the car is kept in a garage (factor B). Interaction is suspected. The results are shown in the accompanying table Brand Name of Batter Kept in Garage? Yes No 7, 8, 6 7, 6, 7 9, 7, 10 7, 7, 6 5, 4, 5 6, 6, 6 he a-1. Construct an ANOVA table....
CH13 Q6
The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS"...
CH13 Q8
A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. The results include the following sum of squares terms: SST 1548 SSA 1022 SSB 390 SSAB 26 a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F' to 3 decimal places.) Answer is not complete. ANOVA...
CH13 Q7
Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's cleanliness In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of O to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. (You may find it useful to reference the g table.) Restaurant Inspector...
An accounting professor wants to know if students perform the same on the departmental final exam irrespective of the accounting section they attend. She randomly selects the exam scores of 39 students from four sections. A portion of the output from conducting a one-way ANOVA test is shown in the accompanying table. Assume exam scores are normally distributed. a. Find the missing values in the ANoVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS to 2...
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