Unformatted text preview: Type 1 Type 2 Type 3 Type 4 Type 5 Mean 4.94 5.28 4.77 4.90 1.92 Standard Error 0.10 0.15 0.10 0.09 0.60 Median 4.9 5.3 4.95 4.9 0 Mode 4.9 5.9 5 5 0 Standard Deviation 0.35 0.60 0.33 0.37 2.17 Sample Variance 0.12 0.36 0.11 0.14 4.71 Kurtosis 0.00 1.50 0.54 0.42 2.31 Within acceptable range for normal data Skewness 0.31 1.03 1.34 0.71 0.20 Within acceptable range for normal data Range 1.2 2.3 0.9 1.2 4.5 Minimum 4.3 3.7 4.1 4.4 0 Maximum 5.5 6 5 5.6 4.5 Central Tendency: Because type 5 is Sum 64.2 89.7 47.7 78.4 25 Count 13 17 10 16 13 beers, it is not surprising that they wou Fivenumber Summary and median. In fact the median is 0, w Type 1 Type 2 Type 3 Type 4 Type 5 highest alcohol content is found for typ Minimum 4.3 3.7 4.1 4.4 0 First Quartile 4.75 4.9 4.6 4.6 0 mean of 5.28% and median of 5.3%. T Median 4.9 5.3 4.95 4.9 0 to each other with means and medians Third Quartile 5.15 5.85 5 5 4.2 Variability: Because type 5 is made up Maximum 5.5 6 5 5.6 4.5 is not surprising that they would also h IQR 0.4 0.95 0.4 0.4 4.2 The range, the IQR and the standard d more than the next largest type. The cr largest in variability with a standard dev The other 3 types seem to have similar deviations are close to .35 and all IQR' Shape: Types 1 and 4 have shapes m since both skewness and kurtosis are Type 5 is fairly symmetric but very flat the left and type 2 is also skewed to th ge for normal data ge for normal data Not normal because of being too flat or too peaked Not normal because of being too skewed left or right dency: Because type 5 is made up of no and low alcohol ot surprising that they would have by far the lowest mean In fact the median is 0, with the mean being 1.92. The hol content is found for type 2 beers (craft ales) with a 8% and median of 5.3%. Types 1, 3 and 4 are very close r with means and medians between 4.77% and 4.95%. Because type 5 is made up of no and low alcohol beers, it sing that they would also have by far the largest variability. he IQR and the standard deviation is about twice or even e next largest type. The craft ales (Type 2) are the next riability with a standard deviation of .6 and an IQR of .95. types seem to have similar variability (all standard re close to .35 and all IQR's are equal to .4. es 1 and 4 have shapes much like a bell shaped curve kewness and kurtosis are within acceptable limits of + 1. rly symmetric but very flat in shape. Type 3 is skewed to type 2 is also skewed to the left and very peaked. Boxandwhisker Plot Fivenumber Summary Type 1 Type 2 Type 3 Type 4 Type 5 Minimum 4.3 3.7 4.1 4.4 0 First Quartile 4.75 4.9 4.6 4.6 0 Median 4.9 5.3 4.95 4.9 0 Third Quartile 5.15 5.85 5 5 4.2 Maximum 5.5 6 5 5.6 4.5 Boxandwhisker Plot 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 1 0 1 2 3 4 5 6 7 Type 1 Type 2 Type 3 Type 4 Type 5 5.2 5 5 4.5 4.3 5 5.8 5 4.4 4.2 4.9 5.9 5 5 4.2 4.9 6 5 4.9 4.2 5.5 5.6 4.8 5.5 4.5 4.9 4.7 5 5.6 3.6 4.7 5.3 4.6 5 0 5.1 4.9 4.9 5.5 0 5.4 5.4 4.3 4.9 0 4.8 5.1 4.1 4.6 0 4.4 5.6 4.6 0 4.3 3.7 5 0 5.1 4.9 4.7 0 5.3 4.6 5.9 5 5.9 4.6 4.7 Brand Price($) Calories %Alcohol Content Type Country of Origin BrooklynBrand 6.24 159 5.2 1 1 Leinenkugel'sRed 4.79 160 5 1 1 SamuelAdamsBoston 5.96 160 4.9 1 1 GeorgeKillian'sIrishRed 4.7 162 4.9 1 1 RedWolf 4.11 157 5.5 1 1 HenryWeinhard'sPrivateRes. 3.85 151 4.9 1 1 Sterling 2.52 155 4.7 1 1 Legacy 5.46 135 5.1 1 1 Dominion 6 162 5.4 1 1 LoneStar 3.71 142 4.8 1 1 AbitaAmber 6.7 146 4.4 1 1 YuenglingPremium 4.99 148 4.3 1 1 BerghoffOriginal 4.1 170 5.1 1 1 SamuelAdamsBoston 5.96 160 5 2 1 SierraNevadaPale 6.31 172 5.8 2 1 FullSailAmber 6.42 170 5.9 2 1 Liberty 7.79 184 6 2 1 ElkMountainAmber 5.05 201 5.6 2 1 CelisPaleBock 5.26 155 4.7 2 1 Pete'sWicked 5.84 170 5.3 2 1 AnchorSteam 7.22 158 4.9 2 1 DockStreetAmber 6.12 159 5.4 2 1 Bass 7.37 150 5.1 2 0 RedhookESB 6.47 177 5.6 2 1 NewAmsterdamNewYork 6.72 146 3.7 2 1 CatamountAmber 7.59 151 4.9 2 1 RedNectar 6.36 163 5.3 2 1 OldDetroitAmber 6.52 186 5.9 2 1 BridgePortBlueHeronPale 6.34 168 5.9 2 1 Geary'sPale 7.1 142 4.7 2 1 MolsonGolden 4.78 148 5 3 0 LabattBlue 4.63 150 5 3 0 Foster's 5.41 140 5 3 0 Kirin 6.39 150 5 3 0 DosEquis 5.52 160 4.8 3 0 Heineken 6.38 160 5 3 0 CoronaExtra 5.68 148 4.6 3 0 St.PauliGirl 5.82 148 4.9 3 0 Beck's 5.83 148 4.3 3 0 PilsnerUrquell 7.8 160 4.1 3 0 OldMilwaukee 2.82 145 4.5 4 1 Stroh's 3.2 142 4.4 4 1 RedDog 3.83 147 5 4 1 Budweiser 4.02 148 4.9 4 1 Icehouse 3.88 149 5.5 4 1 MolsonIce 4.79 155 5.6 4 0 Michelob 4 159 5 4 1 BudIce 3.95 148 5.5 4 1 Busch 3.27 143 4.9 4 1 CoorsOriginal 4.02 137 4.6 4 1 GeneseeCreamAle 3.26 153 4.6 4 1 MillerHighLife 3.19 143 5 4 1 PS 3 asks you to w plots that describe different from each and calories and I w am looking for. First you need to un result for alcohol co have 2 of these pag Use Tools Data An data. Use PHstat Descrip unstacked data. PabstBlueRibbon Milwaukee'sBest MillerGenuineDraft RollingRock MichelobLight BudLight NaturalLight CoorsLight MillerLite AmstelLight Sharp's CoorsCutter Kingsbury OldMilwaukee O'Doul's Kaliber Clausthaler 2.9 2.36 3.93 4.25 4.03 4.02 2.86 4.03 4.02 6.49 3.24 3.6 2.99 2.75 3.9 5.42 5.63 144 133 143 143 134 110 110 105 96 95 58 82 60 72 70 71 96 4.7 4.6 5 4.6 4.3 4.2 4.2 4.2 4.5 3.6 0 0 0 0 0 0 0 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 PS 3 asks you to write a report using descriptive stats and box plots that describe which types of beer are similar and which are different from each other and how. Your analysis involves price and calories and I will use alcohol content as an example of what I am looking for. First you need to unstack the data. See PS 2 for details and the result for alcohol content is on the unstacked page. You should have 2 of these pages, one for each variable (price and calories). Use Tools Data Analysis descriptive Statistics on the unstacked data. Use PHstat Descriptive Statistics  BoxandWhisker Plot on the unstacked data. ...
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 Spring '08
 Abousayf,F
 Normal Distribution, Standard Deviation, Quartile

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