Activity 10 Data

Section 1 - Group 1

Summary Statistics

BrandBountyScottSparkleVivaAll
n666624
Mean28.50031.83330.75023.66728.688
St Dev2.8811.4721.4401.9663.721

Analysis of Variance

Source SS df MS F P
Brand 236.3646 3 78.7882 19.2069 0.000004
Within 82.0417 20 4.1021  
Total 318.4062 23 13.8438

Critical F(3,20,0.05) value = 3.0984.

Section 1 - Group 2

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean29.00031.10031.60030.60030.575
St Dev2.0311.9812.3021.1402.021

Analysis of Variance

Source SS df MS F P
Brand 19.0375 3 6.3458 1.7327 0.200571
Within 58.6000 16 3.6625  
Total 77.6375 19 4.0862

Critical F(3,16,0.05) value = 3.2389.

Section 1 - Group 3

Summary Statistics

BrandMardi GrasScottSparkleVivaAll
n666624
Mean33.33334.08331.50024.16730.771
St Dev0.8161.2012.2801.0334.232

Analysis of Variance

Source SS df MS F P
Brand 370.1146 3 123.3715 58.9237 0.000000
Within 41.8750 20 2.0937  
Total 411.9896 23 17.9126

Critical F(3,20,0.05) value = 3.0984.

Section 1 - Group 4

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean26.90031.30032.30030.40030.225
St Dev4.4220.6711.9240.5483.067

Analysis of Variance

Source SS df MS F P
Brand 82.7375 3 27.5792 4.5965 0.016693
Within 96.0000 16 6.0000  
Total 178.7375 19 9.4072

Critical F(3,16,0.05) value = 3.2389.

Section 1 - Combined Data

Summary Statistics

BrandBountyScottSparkleVivaMardi GrasAll
n162222121688
Mean28.15632.50030.84123.91732.00030.034
St Dev3.1451.9021.4911.5201.5923.474

Analysis of Variance

Source SS df MS F P
Brand 715.4285 4 178.8571 44.3842 0.000000
Within 334.4692 83 4.0297  
Total 1049.8977 87 12.0678

Critical F(4,83,0.05) value = 2.4817.

Section 2 - Group 1

Summary Statistics

BrandBountyMardi GrasScottVivaAll
n555520
Mean30.60034.60030.80021.00029.250
St Dev0.8942.0741.3042.9155.457

Analysis of Variance

Source SS df MS F P
Brand 504.5500 3 168.1833 43.9695 0.000000
Within 61.2000 16 3.8250  
Total 565.7500 19 29.7763

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 2

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean31.00033.20028.40028.80030.350
St Dev2.1213.4930.8941.7892.870

Analysis of Variance

Source SS df MS F P
Brand 73.7500 3 24.5833 4.7504 0.014864
Within 82.8000 16 5.1750  
Total 156.5500 19 8.2395

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 3

Summary Statistics

BrandBountyScottSparkleVivaAll
n555520
Mean30.40034.00031.60019.80028.950
St Dev2.3021.5811.1400.8375.763

Analysis of Variance

Source SS df MS F P
Brand 591.7500 3 197.2500 80.5102 0.000000
Within 39.2000 16 2.4500  
Total 630.9500 19 33.2079

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 4

Summary Statistics

BrandMardi GrasScottSparkleVivaAll
n555520
Mean30.00028.20028.60022.80027.400
St Dev3.5361.9241.6731.3043.500

Analysis of Variance

Source SS df MS F P
Brand 150.0000 3 50.0000 9.6618 0.000707
Within 82.8000 16 5.1750  
Total 232.8000 19 12.2526

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 5

Summary Statistics

BrandBountyMardi GrasSparkleVivaAll
n555520
Mean31.60039.40032.00021.60031.150
St Dev1.5172.0742.5502.0746.769

Analysis of Variance

Source SS df MS F P
Brand 800.9500 3 266.9833 61.3755 0.000000
Within 69.6000 16 4.3500  
Total 870.5500 19 45.8184

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 6

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean30.00032.20032.00032.80031.750
St Dev1.5811.7890.7071.0951.650

Analysis of Variance

Source SS df MS F P
Brand 22.1500 3 7.3833 3.9910 0.026774
Within 29.6000 16 1.8500  
Total 51.7500 19 2.7237

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 7

Summary Statistics

BrandBountyMardi GrasScottVivaAll
n666624
Mean29.91732.50032.91720.00028.833
St Dev2.7281.8711.5632.9335.770

Analysis of Variance

Source SS df MS F P
Brand 655.9167 3 218.6389 39.7827 0.000000
Within 109.9167 20 5.4958  
Total 765.8333 23 33.2971

Critical F(3,20,0.05) value = 3.0984.

Section 2 - Group 8

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean33.00034.60032.00033.00033.150
St Dev2.7390.8942.7392.1212.277

Analysis of Variance

Source SS df MS F P
Brand 17.3500 3 5.7833 1.1396 0.363075
Within 81.2000 16 5.0750  
Total 98.5500 19 5.1868

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Group 9

Summary Statistics

BrandBountyMardi GrasPrime SourceVivaAll
n555520
Mean28.00032.50035.80018.20028.625
St Dev2.4492.9151.9242.0497.136

Analysis of Variance

Source SS df MS F P
Brand 877.8375 3 292.6125 52.2522 0.000000
Within 89.6000 16 5.6000  
Total 967.4375 19 50.9178

Critical F(3,16,0.05) value = 3.2389.

Section 2 - Combined Data

Summary Statistics

BrandBountyMardi GrasScottVivaSparklePrime SourceAll
n41413631305184
Mean30.54933.59831.23620.54831.13335.80029.916
St Dev2.3763.4192.5482.4812.4461.9245.157

Analysis of Variance

Source SS df MS F P
Brand 3572.7450 5 714.5490 98.3147 0.000000
Within 1293.6993 178 7.2680  
Total 4866.4443 183 26.5926

Critical F(5,178,0.05) value = 2.2649.

Combined Data for Semester

Summary Statistics

BrandBountyScottSparkleVivaMardi GrasPrime SourceAll
n57585243575272
Mean29.87731.71631.01021.48833.14935.80029.954
St Dev2.8042.3882.0832.7093.0911.9244.673

Analysis of Variance

Source SS df MS F P
Brand 4072.7073 5 814.5415 117.4691 0.000000
Within 1844.4682 266 6.9341  
Total 5917.1756 271 21.8346

Critical F(5,266,0.05) value = 2.2479.

Data Dictionary

Brand
The factor variable: the brand of paper towel.
Diameter
The response variable: the diameter in mm of a circle created when a drop of food coloring is placed on the paper towel.