Activity 9 Data

Analysis for Section 01 - Group 1

Summary Statistics for Diameter

BrandBountyMardi GrasOasisScottAll
n555520
Mean26.20030.70027.60028.20028.175
St Dev1.9241.4401.8171.3042.249

Analysis of Variance

Source SS df MS F P
Brand 53.0375 3 17.6792 6.5630 0.004222
Error 43.1000 16 2.6938  
Total 96.1375 19 5.0599

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

Analysis for Section 01 - Group 2

Summary Statistics for Diameter

BrandMardi GrasOasisPrime SourceScottSparkleAll
n5555525
Mean33.40031.20040.20033.80035.40034.800
St Dev1.5171.4832.3871.9243.2093.674

Analysis of Variance

Source SS df MS F P
Brand 227.2000 4 56.8000 11.7355 0.000045
Error 96.8000 20 4.8400  
Total 324.0000 24 13.5000

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

Analysis for Section 01 - Group 3

Summary Statistics for Diameter

BrandBountyScottSparkleVivaAll
n555520
Mean30.20033.40030.20019.20028.250
St Dev0.8371.1401.1311.3045.620

Analysis of Variance

Source SS df MS F P
Brand 580.1500 3 193.3833 155.3280 0.000000
Error 19.9200 16 1.2450  
Total 600.0700 19 31.5826

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

Analysis for Section 01 - Group 4

Summary Statistics for Diameter

BrandMardi GrasOasisScottSparkleAll
n555520
Mean32.50027.80028.80032.20030.325
St Dev3.1823.7013.6332.1683.639

Analysis of Variance

Source SS df MS F P
Brand 84.7375 3 28.2458 2.7078 0.079861
Error 166.9000 16 10.4312  
Total 251.6375 19 13.2441

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

Analysis for Section 01 - Group 5

Summary Statistics for Diameter

BrandBountyMardi GrasOasisScottSparkleAll
n5555525
Mean29.20033.00028.20031.80032.80031.000
St Dev1.9241.8711.4831.6432.4902.646

Analysis of Variance

Source SS df MS F P
Brand 94.8000 4 23.7000 6.4754 0.001638
Error 73.2000 20 3.6600  
Total 168.0000 24 7.0000

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

Analysis for Section 01 - Group 6

Summary Statistics for Diameter

BrandMardi GrasOasisScottSparkleVivaAll
n5555525
Mean26.80024.70026.80026.00016.10024.080
St Dev1.2551.7891.0951.1733.4534.518

Analysis of Variance

Source SS df MS F P
Brand 412.7400 4 103.1850 26.7665 0.000000
Error 77.1000 20 3.8550  
Total 489.8400 24 20.4100

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

Analysis for Section 01 - Group 7

Summary Statistics for Diameter

BrandBountyMardi GrasScottSparkleVivaAll
n6666630
Mean28.58332.16729.83330.00021.00028.317
St Dev0.9702.8051.4721.6732.6084.332

Analysis of Variance

Source SS df MS F P
Brand 441.3667 4 110.3417 26.8145 0.000000
Error 102.8750 25 4.1150  
Total 544.2417 29 18.7670

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

Analysis for Section 01 - Group 8

Summary Statistics for Diameter

BrandMardi GrasOasisScottSparkleVivaAll
n5555525
Mean31.50029.20031.80032.30020.00028.960
St Dev2.5500.8370.8372.4392.3455.031

Analysis of Variance

Source SS df MS F P
Brand 530.0600 4 132.5150 34.2416 0.000000
Error 77.4000 20 3.8700  
Total 607.4600 24 25.3108

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

Analysis for Section 01 - Group 9

Summary Statistics for Diameter

BrandMardi GrasOasisScottSparkleAll
n555520
Mean29.10026.60033.20026.00028.725
St Dev1.6361.6732.0491.4143.303

Analysis of Variance

Source SS df MS F P
Brand 160.5375 3 53.5125 18.3340 0.000020
Error 46.7000 16 2.9187  
Total 207.2375 19 10.9072

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

Analysis for Section 01 - Group 10

Summary Statistics for Diameter

BrandBountyPrime SourceScottSparkleAll
n555520
Mean29.00033.00029.60029.90030.375
St Dev2.7162.9150.5481.8512.580

Analysis of Variance

Source SS df MS F P
Brand 48.0375 3 16.0125 3.2679 0.048771
Error 78.4000 16 4.9000  
Total 126.4375 19 6.6546

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

Analysis for All of Section 01 Combined

Summary Statistics for Diameter

BrandBountyMardi GrasOasisScottPrime SourceSparkleVivaAll
n26413551104621230
Mean28.63531.17127.90030.70636.60030.52219.16729.293
St Dev2.1052.8692.6342.7954.5513.4593.0104.698

Analysis of Variance

Source SS df MS F P
Brand 3082.3233 6 513.7206 58.0803 0.000000
Error 1972.4369 223 8.8450  
Total 5054.7602 229 22.0732

Critical F(6,223,0.05) value = 2.1394.

Analysis for Section 02 - Group 1

Summary Statistics for Diameter

BrandBountyMardi GrasScottSparkleAll
n555520
Mean23.80032.80027.60031.40028.900
St Dev0.8372.3872.7022.8814.191

Analysis of Variance

Source SS df MS F P
Brand 245.8000 3 81.9333 14.8970 0.000068
Error 88.0000 16 5.5000  
Total 333.8000 19 17.5684

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

Analysis for Section 02 - Group 2

Summary Statistics for Diameter

BrandBountyMardi GrasScottSparkleAll
n555520
Mean24.60030.20029.80027.80028.100
St Dev2.0743.3471.9243.1143.354

Analysis of Variance

Source SS df MS F P
Brand 98.2000 3 32.7333 4.5306 0.017553
Error 115.6000 16 7.2250  
Total 213.8000 19 11.2526

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

Analysis for Section 02 - Group 3

Summary Statistics for Diameter

BrandBountyOasisScottSparkleAll
n555520
Mean27.90029.60034.20033.40031.275
St Dev1.2451.1400.8370.4182.821

Analysis of Variance

Source SS df MS F P
Brand 136.3375 3 45.4458 48.8009 0.000000
Error 14.9000 16 0.9312  
Total 151.2375 19 7.9599

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

Analysis for Section 02 - Group 4

Summary Statistics for Diameter

BrandBountyMardi GrasSparkleVivaAll
n555520
Mean27.20034.00033.60022.00029.200
St Dev2.5882.9790.8941.5815.461

Analysis of Variance

Source SS df MS F P
Brand 491.2000 3 163.7333 34.6985 0.000000
Error 75.5000 16 4.7188  
Total 566.7000 19 29.8263

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

Analysis for Section 02 - Group 5

Summary Statistics for Diameter

BrandBountyMardi GrasOasisScottAll
n555520
Mean23.80032.20027.40030.20028.400
St Dev2.2801.6431.8171.0953.619

Analysis of Variance

Source SS df MS F P
Brand 199.2000 3 66.4000 21.4194 0.000008
Error 49.6000 16 3.1000  
Total 248.8000 19 13.0947

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

Analysis for Section 02 - Group 6

Summary Statistics for Diameter

BrandOasisScottSparkleVivaAll
n555520
Mean28.80028.40025.80016.20024.800
St Dev1.7891.8171.3044.7645.818

Analysis of Variance

Source SS df MS F P
Brand 519.6000 3 173.2000 22.4207 0.000006
Error 123.6000 16 7.7250  
Total 643.2000 19 33.8526

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

Analysis for Section 02 - Group 7

Summary Statistics for Diameter

BrandBountyOasisScottSparkleVivaAll
n5555525
Mean24.40027.80031.20026.00017.60025.400
St Dev1.6731.4833.7012.2363.9125.260

Analysis of Variance

Source SS df MS F P
Brand 508.0000 4 127.0000 16.2821 0.000004
Error 156.0000 20 7.8000  
Total 664.0000 24 27.6667

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

Analysis for All of Section 02 Combined

Summary Statistics for Diameter

BrandBountyMardi GrasScottSparkleOasisVivaAll
n302030302015145
Mean25.28332.30030.23329.66728.40018.60027.921
St Dev2.3912.8262.9673.8241.6984.2564.900

Analysis of Variance

Source SS df MS F P
Brand 2151.8629 5 430.3726 45.8238 0.000000
Error 1305.4750 139 9.3919  
Total 3457.3379 144 24.0093

Critical F(5,139,0.05) value = 2.2793.

Analysis for Combined Sections

Summary Statistics for Diameter

BrandBountyMardi GrasOasisScottPrime SourceSparkleVivaAll
n56615581107636375
Mean26.83931.54128.08230.53136.60030.18418.93128.763
St Dev2.8062.8812.3332.8514.5513.6073.5364.817

Analysis of Variance

Source SS df MS F P
Brand 5204.7241 6 867.4540 91.8635 0.000000
Error 3474.9732 368 9.4429  
Total 8679.6973 374 23.2077

Critical F(6,368,0.05) value = 2.1232.

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.