Activity 9 Data

Section 1 - Group 1

Summary Statistics

BrandOasisScottSparkleVivaAll
n666624
Mean30.16731.83332.00022.58329.146
St Dev1.7222.1370.7071.4974.213

Analysis of Variance

Source SS df MS F P
Brand 356.8646 3 118.9549 46.3085 0.000000
Within 51.3750 20 2.5688  
Total 408.2396 23 17.7495

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

Section 1 - Group 2

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n666624
Mean33.50033.66733.66732.83333.417
St Dev2.0741.3661.3661.7221.586

Analysis of Variance

Source SS df MS F P
Brand 2.8333 3 0.9444 0.3434 0.794201
Within 55.0000 20 2.7500  
Total 57.8333 23 2.5145

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

Section 1 - Group 3

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n6666630
Mean30.33332.50030.16729.16720.50028.533
St Dev1.3661.3781.7221.4723.3914.629

Analysis of Variance

Source SS df MS F P
Brand 519.4667 4 129.8667 31.8301 0.000000
Within 102.0000 25 4.0800  
Total 621.4667 29 21.4299

Critical F(4,25,0.05) value = 2.7587.

Section 1 - Group 4

Summary Statistics

BrandMardi GrasScottSparkleVivaAll
n555520
Mean30.60029.20028.60017.00026.350
St Dev1.9493.7011.6732.0006.029

Analysis of Variance

Source SS df MS F P
Brand 593.3500 3 197.7833 32.5569 0.000000
Within 97.2000 16 6.0750  
Total 690.5500 19 36.3447

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

Section 1 - Group 5

Summary Statistics

BrandBountyMardi GrasPrime SourceScottVivaAll
n5555525
Mean31.80032.00041.60033.10023.30032.360
St Dev3.0541.9361.9811.4321.6816.224

Analysis of Variance

Source SS df MS F P
Brand 842.2600 4 210.5650 48.1291 0.000000
Within 87.5000 20 4.3750  
Total 929.7600 24 38.7400

Critical F(4,20,0.05) value = 2.8661.

Section 1 - Group 6

Summary Statistics

BrandBountyMardi GrasOasisScottSparkleVivaAll
n66666636
Mean30.58335.00028.50030.50031.16723.16729.819
St Dev2.2893.9621.3781.0491.9662.0174.187

Analysis of Variance

Source SS df MS F P
Brand 454.2014 5 90.8403 17.0993 0.000000
Within 159.3750 30 5.3125  
Total 613.5764 35 17.5308

Critical F(5,30,0.05) value = 2.5336.

Section 1 - Combined Data

Summary Statistics

BrandOasisScottSparkleVivaBountyMardi GrasPrime SourceAll
n1234292823285159
Mean29.33331.42630.82821.39331.54332.85741.60029.981
St Dev1.7232.4622.1813.1222.4492.6451.9815.088

Analysis of Variance

Source SS df MS F P
Brand 3124.8090 6 520.8015 81.9791 0.000000
Within 965.6344 152 6.3529  
Total 4090.4434 158 25.8889

Critical F(6,152,0.05) value = 2.1587.

Section 2 - Group 1

Summary Statistics

BrandBountyMardi GrasOasisScottVivaAll
n6666630
Mean24.33332.00027.33332.16721.83327.533
St Dev1.3662.8982.1601.9411.4724.584

Analysis of Variance

Source SS df MS F P
Brand 505.1333 4 126.2833 30.2596 0.000000
Within 104.3333 25 4.1733  
Total 609.4667 29 21.0161

Critical F(4,25,0.05) value = 2.7587.

Section 2 - Group 2

Summary Statistics

BrandBountyMardi GrasOasisSparkleVivaAll
n6666630
Mean34.83336.00027.33333.33317.33329.767
St Dev1.4721.7891.6332.8751.8627.253

Analysis of Variance

Source SS df MS F P
Brand 1426.5333 4 356.6333 90.2108 0.000000
Within 98.8333 25 3.9533  
Total 1525.3667 29 52.5989

Critical F(4,25,0.05) value = 2.7587.

Section 2 - Group 3

Summary Statistics

BrandBountyMardi GrasOasisScottVivaAll
n5555525
Mean34.80031.20031.20032.80026.20031.240
St Dev0.8373.2711.7892.2802.3873.562

Analysis of Variance

Source SS df MS F P
Brand 202.5600 4 50.6400 9.9294 0.000136
Within 102.0000 20 5.1000  
Total 304.5600 24 12.6900

Critical F(4,20,0.05) value = 2.8661.

Section 2 - Group 4

Summary Statistics

BrandMardi GrasOasisScottSparkleVivaAll
n6666630
Mean32.66728.83329.66730.16720.16728.300
St Dev1.8621.6021.5061.4721.1694.565

Analysis of Variance

Source SS df MS F P
Brand 545.1333 4 136.2833 57.5845 0.000000
Within 59.1667 25 2.3667  
Total 604.3000 29 20.8379

Critical F(4,25,0.05) value = 2.7587.

Section 2 - Group 5

Summary Statistics

BrandBountyOasisScottVivaAll
n555520
Mean31.70028.00033.20023.20029.025
St Dev0.4471.4142.1680.9084.160

Analysis of Variance

Source SS df MS F P
Brand 297.8375 3 99.2792 51.4067 0.000000
Within 30.9000 16 1.9312  
Total 328.7375 19 17.3020

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

Section 2 - Group 6

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n5555525
Mean31.80032.80032.60031.80023.20030.440
St Dev1.0952.1681.1400.8371.0953.917

Analysis of Variance

Source SS df MS F P
Brand 331.7600 4 82.9400 45.5714 0.000000
Within 36.4000 20 1.8200  
Total 368.1600 24 15.3400

Critical F(4,20,0.05) value = 2.8661.

Section 2 - Group 7

Summary Statistics

BrandBountyMardi GrasOasisScottVivaAll
n6666630
Mean30.08331.91729.83331.66723.25029.350
St Dev2.4981.6861.4721.7512.2753.700

Analysis of Variance

Source SS df MS F P
Brand 299.6167 4 74.9042 19.2144 0.000000
Within 97.4583 25 3.8983  
Total 397.0750 29 13.6922

Critical F(4,25,0.05) value = 2.7587.

Section 2 - Group 8

Summary Statistics

BrandBountyMardi GrasOasisScottVivaAll
n5555525
Mean32.00034.40031.60034.80021.00030.760
St Dev1.8711.5172.6081.3041.5815.410

Analysis of Variance

Source SS df MS F P
Brand 635.3600 4 158.8400 47.2738 0.000000
Within 67.2000 20 3.3600  
Total 702.5600 24 29.2733

Critical F(4,20,0.05) value = 2.8661.

Section 2 - Combined Data

Summary Statistics

BrandBountyMardi GrasOasisScottVivaSparkleAll
n383939384417215
Mean31.23733.01329.07732.31621.89831.76529.488
St Dev3.7292.5872.3442.1952.9312.3064.903

Analysis of Variance

Source SS df MS F P
Brand 3534.2806 5 706.8561 91.7630 0.000000
Within 1609.9404 209 7.7031  
Total 5144.2209 214 24.0384

Critical F(5,209,0.05) value = 2.2573.

Combined Data for Semester

Summary Statistics

BrandOasisScottSparkleVivaBountyMardi GrasPrime SourceAll
n5172467261675374
Mean29.13731.89631.17421.70131.35232.94841.60029.698
St Dev2.2002.3512.2492.9953.2862.5921.9814.982

Analysis of Variance

Source SS df MS F P
Brand 6650.9725 6 1108.4954 156.1150 0.000000
Within 2605.8858 367 7.1005  
Total 9256.8583 373 24.8173

Critical F(6,367,0.05) value = 2.1233.

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.