Coke Analysis Phase One

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    Coke Analysis Project: Phase One

    Stats 1510 Day

    Brian Jean

    By: Briana Lemmons

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    Abstract

    Under construction.

    Introduction

    In this experiment, we compared the weight of three different sodas to see which

    one was the closest to staying true to the amount of soda they advertise on their can.

    This is important to know because we want to make sure we are getting our money's

    worth when we buy a product. Our hypothesis was that Diet Pepsi would weigh the least

    and Diet Coke would weigh the most. We hypothesized that Diet Pepsi would weigh the

    least because it's highly carbonated, meaning that there's more air and less product in

    the can. We also hypothesized that Diet Coke would weigh the most because Coke

    Zero is advertised as a lighter and more diet-conscious beverage.

    Methods

    All necessary information such as population size and sample size was gathered

    to begin the project. The population of interest consisted of 85 cans of Diet Coke, 96

    cans of Diet Pepsi, and 72 cans of Coke Zero. From each population, we took a sample

    of 15. The cans from each population were numbered. Using TC Stats, and the method

    of simple random sampling, we generated a set of 15 random numbers from each brand

    of soda. Using this process of simple random sampling decreased the possibility of bias

    in our experiment because it gave us more of a random based sample that could be

    representative of our populations. We measured the weight of the cans that had the

    random numbers we generated on it. The data was collected by using a balancing scale

    to obtain the weight of each can that was sampled. We balanced the scale to zero

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    before placing the can on the scale and recorded the weight of the can. We repeated

    the process for each of the cans in each of the categories (Diet Coke, Diet Pepsi, &

    Coke Zero.

    Results

    According to both graphs, our hypothesis was correct!

    FIGURE 1 A (Box Plot)

    We chose to use the box plot to display our information because it compares all

    three of the colas at once. Looking at this graph, we see that Diet Coke is bell shaped,

    Diet Pepsi is skewed left, and Coke Zero is slightly skewed left. This graph also shows

    that Diet Coke is the heaviest and Diet Pepsi is the lightest. Unfortunately, that is

    basically the limitations of this graph, so the Summary Statistics Table would be a more

    appropriate graph to display.

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    FIGURE 1 B (Summary Statistics)

    Like the box plots shown in Figure 1 A, Figure 1 B shows the five number

    summary. However, it is easier for the human eye to understand since it is in chart form

    and the numbers aren't displayed in graph form. This table can be a more valuable

    piece of information than the box plot because we can clearly see the standard

    deviation and we can easily calculate the range and variance.