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Created: Apr 22, 2014
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Starbucks Drinks Nutrition
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Taylor Kloc

Professor Omer/Stats 120-06

I chose to analyze data of nutritional facts and types of drinks from Starbucks because it's a very common coffee chain and especially popular in our area. We have one in our campus center, therefore it would be beneficial to know how good or bad what many of our students are consuming, sometimes on a daily basis. 

The catagorical variables include the different types of drinks they offer at Starbucks, (Coffee/espresso, chocolate drinks, smoothies, and tea) and the temperature of the drink (hot or cold.) The quantitative variables of the data include calories, fat, carbohydrates, fiber, and protein. (Grams) 

Catagorical Variables:

More than half of drinks sold at Starbucks are coffee and/or espresso drinks. The second most popular drinks are chocolate drinks and tea. 

For temperature, based on the data set I'm using it says that the majority of drinks at Starbucks are cold. This may be because most people today choose to get Iced Coffee rather than hot coffee or other hot drinks.

Quantative Variables: 

As for the calorie content of the Starbucks drinks listed, the lowest amount of calories you could get in one drink would be 80. The drink with the highest amount of calories is a Double Chocolate Frappucino, at 500 calories. The majority of drinks have between 300 and 400 calories. The spread is fairly even.

The spread in terms of the grams of fat box plot is also fairly even, except for one very extreme outlier. There is one latte that has 21 grams of fat. The rest of the drinks contain less than 13. 

Almost all the drinks have an average amount of carbohydrates. There are no extreme outliers or any unusual displays in the graph. This is most likely because almost all drinks at Starbucks have the same ingredients: that don't generally contain carbohydrates. (Dairy, etc.)

The dot plot that displays the fiber content in the drinks is skewed to the left. Almost all the drinks have no fiber whatsoever in their nutritional content.

The dot plot that displays the protein content has a very even spread. There are no outliers. 

Phase 3:

I chose to compare the quantative variables of calories vs. carbohydrates and calories vs. fat. From general basic knowledge regarding nutrition, I knew there would be a relationship between these variables: generally the higher something is in carbohydrates or fat, the more calories it has. 

 The relationship between calories and fat is fairly strong with a positive association. 

LinReg: y=a+bx 

a=6.657   b=-.005

Summary Stats:

x=247.80       SD=107.01 

The relationship between calories and carbohydrates is very strong, with a positive association. 

Linreg: y=a+bx

a=4.265      b=.155

 

 Of all Starbucks drinks (hot and cold) I believe that 40% have on average, between 200 and 400 calories. I ran an equal to hypothesis test to see if this is close to the actual percentage.

Assumptions/Conditions:

Normal Distribution: Yes

Independent: Yes

Random: Yes

10% Condition: Yes

A P-value of .0001 in this context means the the results are not unusual, and that its unlikely to see these results if our null hypothesis were true. 

My conclusion would be thats its safe to assume that if you order any drink from Starbucks, 40% of the drinks on the menu have over 200 calories. 

95% Confidence Interval:

(225.1, 288.85)  

I am 95% confident that the true mean amount of calories will fall between 225.1 and 288.85 calories. 

 

I am very confident with my result, my interval backs up what I found regarding my P-value stats and visa-versa.

 

Result 1: Pie Chart-Type of Drink   [Info]
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Result 2: Bar Graph-Drink Temperature   [Info]
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Result 3: Calorie Content Histogram   [Info]
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Result 4: Summary Stats-Calories   [Info]
Summary statistics:
Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
Calories 41 247.80488 11737.561 108.34002 16.919869 250 420 80 500 150 300

Result 5: Grams of Fat Boxplot   [Info]
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Result 6: Summary Stats-Fat   [Info]
Summary statistics:
Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
Fat (g) 41 5.3292683 17.557622 4.1901816 0.65439643 4.5 21 0 21 3 8

Result 7: Carbohydrate Stem and Leaf Plot   [Info]
Variable: Carb. (g)

Decimal point is 1 digit(s) to the right of the colon.
1 : 223
1 : 8
2 : 111
2 : 
3 : 012333344
3 : 5667
4 : 014
4 : 578
5 : 12234
5 : 5899
6 : 13
6 : 6
7 : 2
7 : 8
8 : 
8 : 
9 : 
9 : 8

Result 8: Summary Stats-Carbohydrates   [Info]
Summary statistics:
Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
Carb. (g) 41 42.707317 345.5122 18.587958 2.9029514 40 86 12 98 33 54

Result 9: Fiber Dotplot   [Info]
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Result 10: Summary Stats-Fiber   [Info]
Summary statistics:
Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
Fiber (g) 41 1.0243902 2.8243902 1.6805922 0.26246441 0 6 0 6 0 2

Result 11: Protein Dotplot   [Info]
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Result 12: Summary Stats-Protein   [Info]
Summary statistics:
Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
Protein (g) 41 9.1463415 24.878049 4.98779 0.77896192 10 18 0 18 7 13

Result 13: Scatter Plot   [Info]
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Result 14: Scatter Plot   [Info]
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Result 15: One Sample T-Test Equal to   [Info]
Hypothesis test results:
μ : Mean of variable
H0 : μ = 40
HA : μ ≠ 40
Variable Sample Mean Std. Err. DF T-Stat P-value
Calories 247.80488 16.919869 40 12.281707 <0.0001

Data set 1. Starbucks Drinks   [Info]
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