Activity 9 Data

Section 1 - Group 1

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean28.40029.60027.20023.20027.100
St Dev1.5172.5101.9242.5883.177

Analysis of Variance

Source SS df MS F P
Brand 115.8000 3 38.6000 8.1263 0.001632
Within 76.0000 16 4.7500  
Total 191.8000 19 10.0947

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

Section 1 - Group 2

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean27.20029.80029.40025.00027.850
St Dev0.8371.7890.8941.4142.300

Analysis of Variance

Source SS df MS F P
Brand 73.7500 3 24.5833 14.6766 0.000074
Within 26.8000 16 1.6750  
Total 100.5500 19 5.2921

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

Section 1 - Group 3

Summary Statistics

BrandBountyMardi GrasOasisScottSparkleAll
n5555525
Mean32.00027.00030.00031.20032.00030.440
St Dev1.2250.7070.7071.4831.5812.200

Analysis of Variance

Source SS df MS F P
Brand 87.3600 4 21.8400 15.1667 0.000007
Within 28.8000 20 1.4400  
Total 116.1600 24 4.8400

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

Section 1 - Group 4

Summary Statistics

BrandBountyMardi GrasOasisScottSparkleAll
n6666630
Mean29.33328.83325.83331.50029.83329.067
St Dev2.1602.7873.1253.2713.1253.300

Analysis of Variance

Source SS df MS F P
Brand 102.5333 4 25.6333 3.0039 0.037444
Within 213.3333 25 8.5333  
Total 315.8667 29 10.8920

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

Section 1 - Group 5

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean30.60036.20032.40023.00030.550
St Dev1.3421.4834.2782.1215.472

Analysis of Variance

Source SS df MS F P
Brand 461.7500 3 153.9167 22.9726 0.000005
Within 107.2000 16 6.7000  
Total 568.9500 19 29.9447

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

Section 1 - Group 6

Summary Statistics

BrandBountyMardi GrasOasisScottSparkleAll
n5555525
Mean30.00032.60027.20032.20029.20030.240
St Dev0.7071.1400.8371.6430.8372.260

Analysis of Variance

Source SS df MS F P
Brand 98.9600 4 24.7400 20.9661 0.000001
Within 23.6000 20 1.1800  
Total 122.5600 24 5.1067

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

Section 1 - Group 7

Summary Statistics

BrandBountyMardi GrasOasisSparkleVivaAll
n6666630
Mean29.16731.25027.25031.33322.75028.350
St Dev1.1691.5412.5251.0331.8913.606

Analysis of Variance

Source SS df MS F P
Brand 303.2833 4 75.8208 25.6875 0.000000
Within 73.7917 25 2.9517  
Total 377.0750 29 13.0026

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

Section 1 - Combined Data

Summary Statistics

BrandOasisScottSparkleVivaBountyMardi GrasAll
n373137212222170
Mean27.98631.74230.21623.45230.04529.93229.115
St Dev2.3412.9662.6892.0851.7592.7093.475

Analysis of Variance

Source SS df MS F P
Brand 1013.0096 5 202.6019 32.3373 0.000000
Within 1027.5037 164 6.2653  
Total 2040.5132 169 12.0740

Critical F(5,164,0.05) value = 2.2693.

Section 2 - Group 1

Summary Statistics

BrandBountyMardi GrasOasisScottVivaAll
n5555525
Mean34.16037.50032.10035.00022.98032.348
St Dev2.7073.2654.1966.7152.8376.385

Analysis of Variance

Source SS df MS F P
Brand 623.4024 4 155.8506 8.7823 0.000291
Within 354.9200 20 17.7460  
Total 978.3224 24 40.7634

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

Section 2 - Group 2

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean28.60030.80026.80021.80027.000
St Dev0.5481.3043.3474.2074.255

Analysis of Variance

Source SS df MS F P
Brand 220.4000 3 73.4667 9.5102 0.000765
Within 123.6000 16 7.7250  
Total 344.0000 19 18.1053

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

Section 2 - Group 3

Summary Statistics

BrandMardi GrasScottSparkleVivaAll
n555520
Mean29.60028.80022.80024.20026.350
St Dev3.3621.9242.1683.2713.911

Analysis of Variance

Source SS df MS F P
Brand 168.9500 3 56.3167 7.4101 0.002489
Within 121.6000 16 7.6000  
Total 290.5500 19 15.2921

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

Section 2 - Group 4

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n5555525
Mean30.40031.10032.40030.00020.20028.820
St Dev2.5101.3872.0742.8280.8374.856

Analysis of Variance

Source SS df MS F P
Brand 481.0400 4 120.2600 28.3298 0.000000
Within 84.9000 20 4.2450  
Total 565.9400 24 23.5808

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

Section 2 - Group 5

Summary Statistics

BrandMardi GrasOasisScottSparkleAll
n555520
Mean34.40029.00031.60029.00031.000
St Dev1.5170.0001.5171.2252.555

Analysis of Variance

Source SS df MS F P
Brand 99.6000 3 33.2000 21.7705 0.000007
Within 24.4000 16 1.5250  
Total 124.0000 19 6.5263

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

Section 2 - Group 6

Summary Statistics

BrandMardi GrasOasisScottSparkleAll
n555520
Mean30.10028.60030.00028.80029.375
St Dev0.2241.3420.7070.4471.011

Analysis of Variance

Source SS df MS F P
Brand 9.2375 3 3.0792 4.8301 0.014006
Within 10.2000 16 0.6375  
Total 19.4375 19 1.0230

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

Section 2 - Group 7

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean31.00030.90032.00031.20031.275
St Dev2.3451.0842.0002.5881.963

Analysis of Variance

Source SS df MS F P
Brand 3.7375 3 1.2458 0.2868 0.834224
Within 69.5000 16 4.3438  
Total 73.2375 19 3.8546

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

Section 2 - Group 8

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n5555525
Mean34.40031.40033.20032.60024.40031.200
St Dev3.0501.3421.9242.0742.1914.123

Analysis of Variance

Source SS df MS F P
Brand 312.4000 4 78.1000 16.3389 0.000004
Within 95.6000 20 4.7800  
Total 408.0000 24 17.0000

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

Section 2 - Group 9

Summary Statistics

BrandBountyMardi GrasOasisScottAll
n555520
Mean31.60032.80030.40033.40032.050
St Dev1.5171.3041.1402.0741.849

Analysis of Variance

Source SS df MS F P
Brand 26.5500 3 8.8500 3.6875 0.034268
Within 38.4000 16 2.4000  
Total 64.9500 19 3.4184

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

Section 2 - Group 10

Summary Statistics

BrandBountyMardi GrasOasisSparkleAll
n555520
Mean31.00031.20028.80032.80030.950
St Dev0.7070.8370.4471.6431.731

Analysis of Variance

Source SS df MS F P
Brand 40.5500 3 13.5167 13.1870 0.000136
Within 16.4000 16 1.0250  
Total 56.9500 19 2.9974

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

Section 2 - Combined Data

Summary Statistics

BrandBountyMardi GrasOasisScottVivaSparkleAll
n304530452540215
Mean32.09332.11129.58331.91122.71629.25030.089
St Dev2.6292.9042.1523.0903.0903.7124.181

Analysis of Variance

Source SS df MS F P
Brand 1848.7826 5 369.7565 40.8365 0.000000
Within 1892.4028 209 9.0546  
Total 3741.1854 214 17.4822

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

Combined Data for Semester

Summary Statistics

BrandOasisScottSparkleVivaBountyMardi GrasAll
n677677465267385
Mean28.70131.84229.71423.05231.22731.39629.659
St Dev2.3803.0213.2762.6762.4993.0043.910

Analysis of Variance

Source SS df MS F P
Brand 2761.6564 5 552.3313 67.3052 0.000000
Within 3110.2151 379 8.2064  
Total 5871.8716 384 15.2913

Critical F(5,379,0.05) value = 2.2378.

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.