Activity 9 Data

Analysis for Section 01 - Group 1

Summary Statistics for Diameter

BrandMardi GrasScottSparkleVivaAll
n555520
Mean36.00036.00033.40024.00032.350
St Dev2.0001.8711.3421.5815.304

Analysis of Variance

Source SS df MS F P
Brand 487.3500 3 162.4500 55.0678 0.000000
Error 47.2000 16 2.9500  
Total 534.5500 19 28.1342

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

Analysis for Section 01 - Group 2

Summary Statistics for Diameter

BrandBountyMardi GrasOasisScottAll
n555520
Mean29.20032.60031.60032.20031.400
St Dev1.0952.0741.1401.6431.957

Analysis of Variance

Source SS df MS F P
Brand 34.8000 3 11.6000 4.8842 0.013455
Error 38.0000 16 2.3750  
Total 72.8000 19 3.8316

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

Analysis for Section 01 - Group 3

Summary Statistics for Diameter

BrandBountyMardi GrasScottVivaAll
n555520
Mean30.80036.80034.40014.40029.100
St Dev1.9243.4212.0742.9669.307

Analysis of Variance

Source SS df MS F P
Brand 1531.8000 3 510.6000 71.6632 0.000000
Error 114.0000 16 7.1250  
Total 1645.8000 19 86.6211

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

Analysis for Section 01 - Group 4

Summary Statistics for Diameter

BrandBountyOasisSparkleVivaAll
n555520
Mean24.40027.20030.40020.80025.700
St Dev1.6731.3042.0741.3043.922

Analysis of Variance

Source SS df MS F P
Brand 250.2000 3 83.4000 31.7714 0.000001
Error 42.0000 16 2.6250  
Total 292.2000 19 15.3789

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

Analysis for Section 01 - Group 5

Summary Statistics for Diameter

BrandBountyOasisScottSparkleAll
n555520
Mean28.00028.60033.40031.60030.400
St Dev1.8711.5170.8941.5172.644

Analysis of Variance

Source SS df MS F P
Brand 97.2000 3 32.4000 14.5618 0.000078
Error 35.6000 16 2.2250  
Total 132.8000 19 6.9895

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

Analysis for Section 01 - Group 6

Summary Statistics for Diameter

BrandBountyOasisPrime SourceSparkleVivaAll
n5555525
Mean28.40030.00040.20030.00018.00029.320
St Dev1.1402.1211.6811.4581.5817.344

Analysis of Variance

Source SS df MS F P
Brand 1241.4400 4 310.3600 117.1170 0.000000
Error 53.0000 20 2.6500  
Total 1294.4400 24 53.9350

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

Analysis for All of Section 01 Combined

Summary Statistics for Diameter

BrandMardi GrasScottSparkleVivaBountyOasisPrime SourceAll
n1520202025205125
Mean35.13334.00031.35019.30028.16029.35040.20029.696
St Dev3.0442.1032.0144.0542.5932.2071.6816.032

Analysis of Variance

Source SS df MS F P
Brand 3643.2547 6 607.2091 82.5285 0.000000
Error 868.1933 118 7.3576  
Total 4511.4480 124 36.3826

Critical F(6,118,0.05) value = 2.1763.

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.