Activity 9 Data

Section 1 - Group 1

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n5555525
Mean31.40033.60031.00034.40024.00030.880
St Dev2.9661.9490.7072.0742.8284.275

Analysis of Variance

Source SS df MS F P
Brand 337.0400 4 84.2600 16.5866 0.000004
Within 101.6000 20 5.0800  
Total 438.6400 24 18.2767

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

Section 1 - Group 2

Summary Statistics

BrandMardi GrasScottSparkleVivaAll
n555520
Mean32.80034.80030.80026.20031.150
St Dev2.0491.6431.3041.0953.573

Analysis of Variance

Source SS df MS F P
Brand 203.3500 3 67.7833 27.6667 0.000001
Within 39.2000 16 2.4500  
Total 242.5500 19 12.7658

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

Section 1 - Group 3

Summary Statistics

BrandMardi GrasOasisSparkleVivaAll
n555520
Mean33.60030.80032.80022.20029.850
St Dev1.3420.8371.3042.3874.870

Analysis of Variance

Source SS df MS F P
Brand 410.9500 3 136.9833 55.3468 0.000000
Within 39.6000 16 2.4750  
Total 450.5500 19 23.7132

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

Section 1 - Group 4

Summary Statistics

BrandBountyScottSparkleVivaAll
n555520
Mean35.80030.60034.40027.20032.000
St Dev1.6431.3421.3421.6433.713

Analysis of Variance

Source SS df MS F P
Brand 226.0000 3 75.3333 33.4815 0.000000
Within 36.0000 16 2.2500  
Total 262.0000 19 13.7895

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

Section 1 - Group 5

Summary Statistics

BrandBountyOasisScottSparkleVivaAll
n5555525
Mean28.60029.40031.20030.20019.80027.840
St Dev1.3420.8941.6431.6431.0954.375

Analysis of Variance

Source SS df MS F P
Brand 422.5600 4 105.6400 57.4130 0.000000
Within 36.8000 20 1.8400  
Total 459.3600 24 19.1400

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

Section 1 - Group 6

Summary Statistics

BrandBountyMardi GrasScottSparkleAll
n555520
Mean37.20033.60034.20033.00034.500
St Dev3.8347.1622.9501.8714.383

Analysis of Variance

Source SS df MS F P
Brand 52.2000 3 17.4000 0.8900 0.467470
Within 312.8000 16 19.5500  
Total 365.0000 19 19.2105

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

Section 1 - Group 7

Summary Statistics

BrandBountyMardi GrasOasisSparkleVivaAll
n5555525
Mean32.20036.40029.80033.40025.60031.480
St Dev1.6432.1911.3041.6730.5483.970

Analysis of Variance

Source SS df MS F P
Brand 329.0400 4 82.2600 33.4390 0.000000
Within 49.2000 20 2.4600  
Total 378.2400 24 15.7600

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

Section 1 - Group 8

Summary Statistics

BrandBountyOasisScottSparkleAll
n555520
Mean27.20027.40029.60032.60029.200
St Dev2.5882.3022.7022.1913.172

Analysis of Variance

Source SS df MS F P
Brand 94.8000 3 31.6000 5.2448 0.010345
Within 96.4000 16 6.0250  
Total 191.2000 19 10.0632

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

Section 1 - Group 9

Summary Statistics

BrandBountyMardi GrasScottVivaAll
n555520
Mean23.80029.30032.40025.20027.675
St Dev2.1681.1513.0501.0953.951

Analysis of Variance

Source SS df MS F P
Brand 230.5375 3 76.8458 18.6011 0.000018
Within 66.1000 16 4.1312  
Total 296.6375 19 15.6125

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

Section 1 - Group 10

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaAll
n5555525
Mean31.20031.60030.80036.60021.40030.320
St Dev1.9242.3021.3041.1400.8945.242

Analysis of Variance

Source SS df MS F P
Brand 608.2400 4 152.0600 59.3984 0.000000
Within 51.2000 20 2.5600  
Total 659.4400 24 27.4767

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

Section 1 - Combined Data

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaOasisAll
n403540454020220
Mean30.92532.98631.82533.13323.95029.35030.457
St Dev4.6933.5632.5612.3702.8551.8434.545

Analysis of Variance

Source SS df MS F P
Brand 2347.8969 5 469.5794 46.1823 0.000000
Within 2175.9429 214 10.1680  
Total 4523.8398 219 20.6568

Critical F(5,214,0.05) value = 2.2563.

Section 2 - Group 1

Summary Statistics

BrandBountyOasisSparkleVivaAll
n555520
Mean30.40031.40034.80034.60032.800
St Dev1.1400.8940.8373.3622.628

Analysis of Variance

Source SS df MS F P
Brand 74.8000 3 24.9333 7.0733 0.003059
Within 56.4000 16 3.5250  
Total 131.2000 19 6.9053

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

Section 2 - Group 2

Summary Statistics

BrandBountyOasisScottSparkleVivaAll
n6665528
Mean29.00024.50029.91734.10022.10027.911
St Dev3.3474.6802.3751.2452.0125.009

Analysis of Variance

Source SS df MS F P
Brand 461.4185 4 115.3546 12.2770 0.000017
Within 216.1083 23 9.3960  
Total 677.5268 27 25.0936

Critical F(4,23,0.05) value = 2.7955.

Section 2 - Group 3

Summary Statistics

BrandBountyOasisPrime SourceSparkleVivaAll
n5555525
Mean30.60028.60039.20030.00019.20029.520
St Dev0.8941.1402.3871.4140.8376.628

Analysis of Variance

Source SS df MS F P
Brand 1012.2400 4 253.0600 120.5048 0.000000
Within 42.0000 20 2.1000  
Total 1054.2400 24 43.9267

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

Section 2 - Group 4

Summary Statistics

BrandBountyOasisSparkleVivaAll
n555520
Mean27.00027.00030.00020.40026.100
St Dev1.0001.0001.4141.1403.754

Analysis of Variance

Source SS df MS F P
Brand 246.6000 3 82.2000 62.0377 0.000000
Within 21.2000 16 1.3250  
Total 267.8000 19 14.0947

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

Section 2 - Group 5

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean28.40027.80030.40024.20027.700
St Dev1.1401.7891.1400.4472.557

Analysis of Variance

Source SS df MS F P
Brand 100.2000 3 33.4000 22.2667 0.000006
Within 24.0000 16 1.5000  
Total 124.2000 19 6.5368

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

Section 2 - Group 6

Summary Statistics

BrandBountyOasisScottSparkleVivaAll
n5555525
Mean26.40026.80033.00031.00018.40027.120
St Dev1.6733.8341.8710.7071.1405.487

Analysis of Variance

Source SS df MS F P
Brand 631.4400 4 157.8600 34.6184 0.000000
Within 91.2000 20 4.5600  
Total 722.6400 24 30.1100

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

Section 2 - Group 7

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean34.00036.80034.00026.20032.750
St Dev2.3451.3042.1210.8374.363

Analysis of Variance

Source SS df MS F P
Brand 312.1500 3 104.0500 33.5645 0.000000
Within 49.6000 16 3.1000  
Total 361.7500 19 19.0395

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

Section 2 - Group 8

Summary Statistics

BrandOasisScottSparkleVivaAll
n555520
Mean29.20033.20035.40025.20030.750
St Dev1.3041.9241.1401.9244.266

Analysis of Variance

Source SS df MS F P
Brand 304.1500 3 101.3833 38.9936 0.000000
Within 41.6000 16 2.6000  
Total 345.7500 19 18.1974

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

Section 2 - Combined Data

Summary Statistics

BrandBountyOasisSparkleVivaScottPrime SourceAll
n26414040265178
Mean28.69228.63432.46223.78832.05839.20029.211
St Dev2.4783.6452.5005.1633.5672.3875.119

Analysis of Variance

Source SS df MS F P
Brand 2329.6981 5 465.9396 34.7061 0.000000
Within 2309.1516 172 13.4253  
Total 4638.8497 177 26.2082

Critical F(5,172,0.05) value = 2.2667.

Combined Data for Semester

Summary Statistics

BrandBountyMardi GrasScottSparkleVivaOasisPrime SourceAll
n6635668580615398
Mean30.04532.98631.91732.81823.86928.86939.20029.899
St Dev4.0973.5632.9742.4414.1463.1702.3874.844

Analysis of Variance

Source SS df MS F P
Brand 4734.0355 6 789.0059 67.3371 0.000000
Within 4581.4444 391 11.7172  
Total 9315.4799 397 23.4647

Critical F(6,391,0.05) value = 2.1218.

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.