Mr. Goodbar Nuts Observational Study The Mr. Goodbar candy bars consist of chocolate and nuts. Some people enjoy having a regular size, 52g, while on the other hand others prefer the king size, 96g, Mr. Goodbar candy bar as a snack. In my study I wanted to see what percent of Mr. Goodbar candy bars are nuts. In addition, I wanted to find out how the size of the candy bar would affect the amount of nuts. The population that we sampled was all Mr. Goodbar candy bars weighing both 52g and 96g. The sampling was done by randomly selecting the stores in towns of my choice. Below I have included the store that I picked the candy bars from the Salem/Keizer area: Walgreens, Safeway, Wal-Mart, 7/11, Fredmyers, trader Joes. As I went to a different …show more content…
location, I’d flipped a coin to randomly select which candy bars from each store we would purchase. If the coin was heads up, I would pick my candy bar from the top of the pile. If the coin showed tails, I would take a candy bar from the bottom of the stack. This action was used for both the regular size and king size candy bars. To measure the items, I used my kitchen scale. I then measured the weight of nuts accurate to the nearest hundredth. In the process of removing the nuts from the chocolate was harder then I originally thought, so I tried my hardest to make it as accurately as possible. In some cases it was hard to separate the nuts from the chocolate. We have a few variables in this study. One variable in our study was size. First thing I did was compare percentages with a regular size Mr. Goodbar, 52g, and a king size Mr. Goodbar, 96g. Another variable is the weight of nuts in each candy bar. The weight of the nuts was the explanatory variable. I randomly selected the stores in which I purchased the candy bars from and city varied but are not the actual variables. The randomness comes into play in the sampling process. I randomly selected the stores in towns of my choice. To ensure accuracy I had the weight of the nuts measured by me and a classmate, that way I had someone double checking my facts. Accuracy has two aspects, lack of bias and reliability. I know no measuring process is perfect so I used the average of the several repeated measurements of the nuts for each candy bar. As long as I insured accuracy the data was relatively easy to collect, which leads me to the conclusion that this is simple data. These charts show the results of my data collection. Table 1: Regular Size Mr. Goodbar Wight on package Weight of nuts (g) Weight of chocolate (g) Total weight (g) Percentage of nuts (g) 52 g 23.52 26.63 50.15 46.9 52 g 25.47 28.95 54.42 46.8 52 g 23.75 26.94 50.69 46.85 52 g 25.02 28.65 53.67 46.61 52 g 24.39 27.91 52.3 46.63 52 g 25.87 29.32 55.19 46.87 Calculations: Mean percentage weight of nuts (%) Mean % weight of nuts in 1 gram (g) Table 2: King Size Mr. Goodbar Wight on package Weight of nuts (g) Weight of chocolate (g) Total weight (g) Percentage of nuts (g) 96 g 48.02 54.35 102.37 46.9 96 g 46.92 53.18 100.1 46.87 96 g 46.23 52.61 98.84 46.77 96 g 47.51 54.29 101.8 46.67 96 g 47.36 53.48 100.84 46.96 96 g 48.07 52.58 102.65 46.82 Calculations: Mean percentage weight of nuts (%) Mean % weight of nuts in 1 gram (g) The information gathered from these charts shows us that the regular size Mr. Goodbar has a proportional mean of 0.4678 g in one gram of the bar. This amount translates to 46.78 percent nuts, and a standard deviation of 0.1063. The standard deviation shows that the data is close together. The king size Mr. Goodbar was also relatively close, with a mean of .4683, which is 46.83 percent nuts, and a standard deviation of 0.08677. This box plot shows this information graphically.
As well as prove the point that the standard deviation shows that the data was all close together. The test of significance is designed to assess the strength of the data against the null hypothesis. A test of significance assesses this in terms of probability. In this study our null hypothesis or H0 states that the percentage of nuts for all 52g candy bars is equal to the percentage for all 96g candy bars. The other statement being tested in a test of significance is called the alternative hypothesis or Ha. In our study this statement states that the percentage of nuts in 52g candy bars does not equal the percentage of nuts in 96g candy bars. The H0 is proven to be true as our P-Value of .72. The P-Value is the probability that the test statistic would take a value as extreme or more extreme than that actually observed, assuming that H0 is true. The larger the P-Value is, the stronger the evidence to support H0 provided by the data. This information would be of interest to the Mr. Goodbar manufacturing company, due to they should be informed in the percentage of nuts in each Mr. Goodbar. People that buy this product should be interested in the percentage of nuts if they have a preference in their candy bar being either mainly nuts or chocolate. For example if an individual dislikes nut then this is not the candy bar for them to invest
in. The confident level is 95% that the percentage of nuts in 52g candy bars and the percentage of nuts in 96g candy bars have a difference between -.0167 and 0.0218. The data that I collected shows the only conclusion one can draw and that there is no significant difference between size of the candy bar and the percentage of nuts in an individual candy bar.
5. Andrew has $20 to purchase candy bars. If each candy bar cost $1.50, how many candy bars can Andrew purchase. With c representing the number of candy bars, write and evaluate the expression.
During Valentine’s week alone, millions of pounds of chocolate candies alone are sold (“Who consumes the most chocolate,” 2012, para 8). This naturally creates a demand for product, which in turns causes a need for ingredients. The main component in chocolate, of course, is cocoa. Since Côte d’Ivoire provides 40 percent of the world’s supply of this crucial ingredient (Losch, 2002, p. 206), it merits investigation i...
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Chocolate bars are thought of as impulse buys, which means they require no thought. This is due to how inexpensive they are. However, if an ingredient such as sugar was to rise drastically, so will the cost of the chocolate bar therefore changing the buyer's perspective on the product class.
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...will fall within the first standard deviation, 95% within the first two standard deviations, and 99.7% will fall within the first three standard deviations of the mean. The Empirical Rule is used in statistics for showing final outcomes. After a standard deviation is found, and before exact data can be collected, this rule can be used as an estimate to the outcome of the new data. This probability can be used for gathering data that may be time consuming, or even impossible to found. When the mean equals the median and the values cluster around the mean and median, producing a bell-shaped distribution, then we can use the empirical rule to examine the variability. In this bell-shaped data set, we can calculate the mean and the standard deviation. The mean means the average value of the set of data. The standard deviation means the average scatter around the mean.
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The inquiry science lesson that was chosen was Candy Heart Science Observations. Students were asked to determine if candy hearts will sink or float. Students were also asked to
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Recently the company sales was hit with a growing demand for low-carb snack bars. Customer preference has changed towards the NRG-A and NRG-B bars and so they want a product with low-carbohydrates in it. Fitter Snacker decides to put a new low-carb bars into the market because of its plans to remain in competition even though it isn’t recording any lost in sales.
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