Activity 11 Data

Section 1 - Group 1

Summary Statistics

BrandBountyOasisScottVivaAll
n555520
Mean33.00032.20033.60021.60030.100
St Dev1.5811.3041.6731.5175.251

Analysis of Variance

Source SS df MS F P
Brand 486.6000 3 162.2000 69.7634 0.000000
Within 37.2000 16 2.3250  
Total 523.8000 19 27.5684

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

Section 1 - Group 2

Summary Statistics

BrandBountyMardi GrasSparkleVivaAll
n555520
Mean32.40034.00035.20025.40031.750
St Dev4.9301.5812.7752.8814.919

Analysis of Variance

Source SS df MS F P
Brand 288.5500 3 96.1833 8.9891 0.001009
Within 171.2000 16 10.7000  
Total 459.7500 19 24.1974

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

Section 1 - Group 3

Summary Statistics

BrandMardi GrasOasisScottSparkleAll
n555520
Mean33.60028.20034.00030.80031.650
St Dev0.5480.8371.2252.1682.700

Analysis of Variance

Source SS df MS F P
Brand 109.7500 3 36.5833 20.3241 0.000011
Within 28.8000 16 1.8000  
Total 138.5500 19 7.2921

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

Section 1 - Group 4

Summary Statistics

BrandBountyMardi GrasScottVivaAll
n555520
Mean27.80033.80034.00024.40030.000
St Dev1.6431.9240.7072.7024.531

Analysis of Variance

Source SS df MS F P
Brand 333.2000 3 111.0667 31.2864 0.000001
Within 56.8000 16 3.5500  
Total 390.0000 19 20.5263

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

Section 1 - Group 5

Summary Statistics

BrandBountyMardi GrasPrime SourceScottSparkleAll
n5555525
Mean30.80032.60033.20033.20032.80032.520
St Dev0.8372.8813.7011.4831.7892.347

Analysis of Variance

Source SS df MS F P
Brand 19.8400 4 4.9600 0.8826 0.492070
Within 112.4000 20 5.6200  
Total 132.2400 24 5.5100

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

Section 1 - Group 6

Summary Statistics

BrandBountyMardi GrasOasisSparkleAll
n555520
Mean29.60032.20030.60032.00031.100
St Dev1.1401.5251.6731.0001.659

Analysis of Variance

Source SS df MS F P
Brand 22.6000 3 7.5333 4.0584 0.025370
Within 29.7000 16 1.8562  
Total 52.3000 19 2.7526

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

Section 1 - Group 7

Summary Statistics

BrandBountyMardi GrasSparkleVivaAll
n666624
Mean30.08336.50032.50020.58329.917
St Dev0.9709.5455.9413.2778.112

Analysis of Variance

Source SS df MS F P
Brand 822.9167 3 274.3056 7.9461 0.001105
Within 690.4167 20 34.5208  
Total 1513.3333 23 65.7971

Critical F(3,20,0.05) value = 3.0984.

Section 1 - Group 8

Summary Statistics

BrandMardi GrasScottSparkleVivaAll
n555520
Mean34.60033.00033.60026.80032.000
St Dev2.3021.0001.1401.3043.434

Analysis of Variance

Source SS df MS F P
Brand 186.8000 3 62.2667 26.7814 0.000002
Within 37.2000 16 2.3250  
Total 224.0000 19 11.7895

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

Section 1 - Group 9

Summary Statistics

BrandBountyMardi GrasOasisScottAll
n666624
Mean30.66734.08330.50034.50032.438
St Dev0.8161.9851.6430.5482.295

Analysis of Variance

Source SS df MS F P
Brand 83.1146 3 27.7049 14.5655 0.000029
Within 38.0417 20 1.9021  
Total 121.1562 23 5.2677

Critical F(3,20,0.05) value = 3.0984.

Section 1 - Group 10

Summary Statistics

BrandBountyMardi GrasOasisScottAll
n555520
Mean31.00033.40030.60035.00032.500
St Dev2.3451.8171.1401.2252.417

Analysis of Variance

Source SS df MS F P
Brand 64.6000 3 21.5333 7.4253 0.002466
Within 46.4000 16 2.9000  
Total 111.0000 19 5.8421

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

Section 1 - Group 11

Summary Statistics

BrandBountyMardi GrasPrime SourceSparkleVivaAll
n6666630
Mean28.33336.00038.83330.16721.50030.967
St Dev1.6332.0983.4301.6022.5886.557

Analysis of Variance

Source SS df MS F P
Brand 1106.4667 4 276.6167 49.2200 0.000000
Within 140.5000 25 5.6200  
Total 1246.9667 29 42.9989

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

Section 1 - Combined Data

Summary Statistics

BrandBountyOasisScottVivaMardi GrasSparklePrime SourceAll
n48263632533711243
Mean30.36530.42333.91723.23434.16032.37836.27331.360
St Dev2.4811.7931.2513.2773.6453.1264.4744.608

Analysis of Variance

Source SS df MS F P
Brand 3138.0134 6 523.0022 61.7072 0.000000
Within 2000.2294 236 8.4755  
Total 5138.2428 242 21.2324

Critical F(6,236,0.05) value = 2.1371.

Section 2 - Group 1

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean31.00034.30034.00031.80032.775
St Dev1.5811.3042.9153.3472.668

Analysis of Variance

Source SS df MS F P
Brand 39.6375 3 13.2125 2.2113 0.126395
Within 95.6000 16 5.9750  
Total 135.2375 19 7.1178

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

Section 2 - Group 2

Summary Statistics

BrandBountyPrime SourceScottVivaAll
n666624
Mean29.16734.41731.83322.75029.542
St Dev2.1371.6250.7530.7584.632

Analysis of Variance

Source SS df MS F P
Brand 451.7083 3 150.5694 72.1291 0.000000
Within 41.7500 20 2.0875  
Total 493.4583 23 21.4547

Critical F(3,20,0.05) value = 3.0984.

Section 2 - Group 3

Summary Statistics

BrandBountyOasisScottVivaAll
n555520
Mean30.40024.20029.60020.60026.200
St Dev2.8812.7752.7024.8795.187

Analysis of Variance

Source SS df MS F P
Brand 322.8000 3 107.6000 9.1380 0.000931
Within 188.4000 16 11.7750  
Total 511.2000 19 26.9053

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

Section 2 - Group 4

Summary Statistics

BrandMardi GrasOasisPrime SourceSparkleVivaAll
n5555525
Mean34.00029.40033.80030.40022.00029.920
St Dev1.5811.1401.3041.1400.7074.582

Analysis of Variance

Source SS df MS F P
Brand 474.6400 4 118.6600 81.2740 0.000000
Within 29.2000 20 1.4600  
Total 503.8400 24 20.9933

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

Section 2 - Group 5

Summary Statistics

BrandBountyMardi GrasOasisSparkleAll
n666624
Mean31.50031.00029.16730.83330.625
St Dev1.2250.8941.8351.3291.555

Analysis of Variance

Source SS df MS F P
Brand 18.4583 3 6.1528 3.3109 0.041022
Within 37.1667 20 1.8583  
Total 55.6250 23 2.4185

Critical F(3,20,0.05) value = 3.0984.

Section 2 - Group 6

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean29.60029.90030.20028.00029.425
St Dev3.4351.6360.8371.0002.041

Analysis of Variance

Source SS df MS F P
Brand 14.4375 3 4.8125 1.1901 0.344966
Within 64.7000 16 4.0437  
Total 79.1375 19 4.1651

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

Section 2 - Group 7

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n666624
Mean33.83336.33331.33330.50033.000
St Dev1.7222.5031.0331.2252.828

Analysis of Variance

Source SS df MS F P
Brand 125.0000 3 41.6667 14.1243 0.000036
Within 59.0000 20 2.9500  
Total 184.0000 23 8.0000

Critical F(3,20,0.05) value = 3.0984.

Section 2 - Combined Data

Summary Statistics

BrandBountyMardi GrasScottSparklePrime SourceVivaOasisAll
n33272727111616157
Mean30.97033.14831.40730.33334.13621.84427.68830.268
St Dev2.6042.8722.2582.0571.4512.7433.0714.107

Analysis of Variance

Source SS df MS F P
Brand 1682.0264 6 280.3377 44.2994 0.000000
Within 949.2380 150 6.3283  
Total 2631.2643 156 16.8671

Critical F(6,150,0.05) value = 2.1595.

Combined Data for Semester

Summary Statistics

BrandBountyOasisScottVivaMardi GrasSparklePrime SourceAll
n81426348806422400
Mean30.61129.38132.84122.77133.81931.51635.20530.931
St Dev2.5342.6862.1423.1503.4192.8923.4254.445

Analysis of Variance

Source SS df MS F P
Brand 4626.1270 6 771.0212 93.0272 0.000000
Within 3257.2324 393 8.2881  
Total 7883.3594 399 19.7578

Critical F(6,393,0.05) value = 2.1217.

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.