Activity 9 Data

Section 1 - Group 1

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean32.60031.80034.80034.20033.350
St Dev2.5100.2745.3921.0953.040

Analysis of Variance

Source SS df MS F P
Brand 28.9500 3 9.6500 1.0532 0.396283
Within 146.6000 16 9.1625  
Total 175.5500 19 9.2395

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

Section 1 - Group 2

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n6666630
Mean32.33336.50031.16731.16720.66730.367
St Dev1.6331.8710.9831.3293.2665.629

Analysis of Variance

Source SS df MS F P
Brand 821.1333 4 205.2833 52.4574 0.000000
Within 97.8333 25 3.9133  
Total 918.9667 29 31.6885

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

Section 1 - Group 3

Summary Statistics

BrandMardi GrasOasisScottVivaAll
n555520
Mean36.30030.40032.20023.48030.595
St Dev1.6430.8943.1143.1785.242

Analysis of Variance

Source SS df MS F P
Brand 428.9215 3 142.9738 24.5428 0.000003
Within 93.2080 16 5.8255  
Total 522.1295 19 27.4805

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

Section 1 - Group 4

Summary Statistics

BrandBountyOasisScottSparkleVivaAll
n6666630
Mean35.66734.33336.75032.33327.66733.350
St Dev0.5160.5161.4754.7191.9663.946

Analysis of Variance

Source SS df MS F P
Brand 307.3667 4 76.8417 13.3213 0.000006
Within 144.2083 25 5.7683  
Total 451.5750 29 15.5716

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

Section 1 - Group 5

Summary Statistics

BrandMardi GrasOasisScottSparkleVivaAll
n5555525
Mean35.20032.20034.60034.40025.80032.440
St Dev1.6050.4470.8941.1403.0543.863

Analysis of Variance

Source SS df MS F P
Brand 301.3600 4 75.3400 26.5282 0.000000
Within 56.8000 20 2.8400  
Total 358.1600 24 14.9233

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

Section 1 - Combined Data

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaOasisAll
n172127222216125
Mean33.58835.02433.90732.90924.38232.43832.011
St Dev2.2382.3693.3312.8443.8551.7884.616

Analysis of Variance

Source SS df MS F P
Brand 1631.1617 5 326.2323 38.4113 0.000000
Within 1010.6827 119 8.4931  
Total 2641.8443 124 21.3052

Critical F(5,119,0.05) value = 2.2905.

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.