Activity 9 Data

Section 1 - Group 1

Summary Statistics

BrandBountyOasisScottSparkleVivaAll
n5555525
Mean32.80032.70033.10031.20018.20029.600
St Dev2.1971.4401.2941.0371.2046.012

Analysis of Variance

Source SS df MS F P
Brand 823.1000 4 205.7750 92.6914 0.000000
Within 44.4000 20 2.2200  
Total 867.5000 24 36.1458

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

Section 1 - Group 2

Summary Statistics

BrandBountyMardi GrasOasisScottSparkleAll
n5555525
Mean28.00035.80032.60033.00033.60032.600
St Dev2.9152.2801.5171.5812.1913.266

Analysis of Variance

Source SS df MS F P
Brand 162.8000 4 40.7000 8.7339 0.000301
Within 93.2000 20 4.6600  
Total 256.0000 24 10.6667

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

Section 1 - Group 3

Summary Statistics

BrandBountyOasisScottSparkleVivaAll
n6666630
Mean32.65035.41735.75033.63326.98332.887
St Dev1.4803.2470.8801.1481.3203.635

Analysis of Variance

Source SS df MS F P
Brand 300.3747 4 75.0937 22.6623 0.000000
Within 82.8400 25 3.3136  
Total 383.2147 29 13.2143

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

Section 1 - Group 4

Summary Statistics

BrandBountyMardi GrasOasisSparkleVivaAll
n6666630
Mean30.00034.33330.58333.33325.50030.750
St Dev1.4831.1690.3760.8761.0953.292

Analysis of Variance

Source SS df MS F P
Brand 286.0000 4 71.5000 62.9956 0.000000
Within 28.3750 25 1.1350  
Total 314.3750 29 10.8405

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

Section 1 - Combined Data

Summary Statistics

BrandBountyOasisScottSparkleVivaMardi GrasAll
n222216221711110
Mean30.90532.84134.06232.99123.87635.00031.492
St Dev2.7482.5981.7881.6183.9951.8304.301

Analysis of Variance

Source SS df MS F P
Brand 1324.0736 5 264.8147 39.7948 0.000000
Within 692.0690 104 6.6545  
Total 2016.1426 109 18.4967

Critical F(5,104,0.05) value = 2.3017.

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.