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# MATH 106 Statistics Project Instructions Version 2. The topic may be something that is related to your work, a hobby, or something you found...

Procedure: Go to the grocery store (or your pantry) and pick at least 10 different brands of cereal. (Instead of choosing a random sample, you might purposely pick from both the "healthy" cereal types and the "sugary" ones.) From the cereal box, record the suggested serving size and the amount of sugar per serving. The raw data is the serving size and amount of sugar per serving for each of the 10 boxes of cereal. Before calculating the statistics on the amount of sugar in each cereal, be sure you are comparing the same serving size. If you use a serving size of 50 grams, you must calculate how much sugar is in 50 grams of each cereal. For example, if the box states that there are 9 grams of sugar in 43 grams of cereal, there would be 50 times 9 divided by 43, or 10.5 grams in 50 grams of cereal. The result of this simple calculation (for each of 10 boxes) is the data you will use in the project statistics and charts.

MATH 106 Statistics Project Instructions Version 2.1 (Summer 2016) 2 ***************************************************************************** If you choose, you may use the following example for your data. Purpose: Compare the amount of sugar in a standard serving size of different brands of cereal. (You may instead choose to compare the amount of fat, protein, salt, or any other category in cereal or some other food.) Procedure: Go to the grocery store (or your pantry) and pick at least 10 different brands of cereal. (Instead of choosing a random sample, you might purposely pick from both the "healthy" cereal types and the "sugary" ones.) From the cereal box, record the suggested serving size and the amount of sugar per serving. The raw data is the serving size and amount of sugar per serving for each of the 10 boxes of cereal. Before calculating the statistics on the amount of sugar in each cereal, be sure you are comparing the same serving size. If you use a serving size of 50 grams, you must calculate how much sugar is in 50 grams of each cereal. For example, if the box states that there are 9 grams of sugar in 43 grams of cereal, there would be 50 times 9 divided by 43, or 10.5 grams in 50 grams of cereal. The result of this simple calculation (for each of 10 boxes) is the data you will use in the project statistics and charts. ****************************************************************************** For Task 6 : Instructions for Calculating Percentage of Raw Data Falling Within 1, 2, and 3 Standard Deviations of Mean: 1. Determine sample mean °̅ and sample standard deviation s for your raw data set (you had to do this to complete Task 3 so they should already be done) 2. Determine the raw score “bounds” for data falling within 1 standard deviation of the mean by subtracting 1 standard deviation from the mean to get the lower bound. Then, add 1 standard deviation to the mean to get the upper bound. 3. Count the number of raw scores in your data set whose values fall between the lower and upper bounds you found in Step 2. Divide that number by n , the total number of scores in your data set, and then multiply the result by 100 to get the percent of raw data falling within one standard deviation of the mean. 4. Now, determine the raw score “bounds” for data falling within 2 standard deviations of the mean by subtracting 2 standard deviations from the mean to get the lower bound. Then, add 2 standard deviations to the mean to get the upper bound. 5. Count the number of raw scores in your data set whose values fall between the lower and upper bounds you found in Step 4. Divide that number by n , the total number of scores in your data set, and then multiply the result by 100 to get the percent of raw data falling within 2 standard deviations of the mean. 6. Now, determine the raw score “bounds” for data falling within 3 standard deviations of the mean by subtracting 3 standard deviations from the mean to get the lower bound. Then, add 3 standard deviations to the mean to get the upper bound. 7. Count the number of raw scores in your data set whose values fall between the lower and upper bounds you found in Step 6. Divide that number by n , the total number of scores in your data set, and then multiply the result by 100 to get the percent of raw data falling within 3 standard deviations of the mean.
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Task 1 Compare the amount of total fat in a standard serving size of different types of chocolate bars (all the
bars are of the same brand). Task 2
The data was collected at a local super market....

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