*Comparison of the Amount of Fat in Different Brands of Healthy Cereal.*See attached file.For this assignment, you will implement a project involving statistical procedures. be something that is related to your work, a hobby, or something you found interesting. If you choose, you may use the example described below. The project is made of the following tasks. Each task must be addressed in the statistics project report in order to qualify for full credit: ? Task 1: identify: o name of project o purpose of project ? Task 2: Conduct Data Collection. Provide: o Raw data used (sample size must be at least 10 individual raw scores) o source of the data ? Task 3: Calculate Measures of Central Tendency and Variability: o median, sample mean, range, sample variance, and sample standard deviation (show work) ? Task 4: Frequency Distribution. Provide o Raw data in frequency table format (1st column of value intervals, and 2nd column shows frequency: number of scores falling within each interval) ? Task 5: Histogram: o Create histogram using frequency table constructed in Task 4 o NOT a vertical bar chart! o x axis must show intervals, y axis must show frequencies ? Task 6: Compare Raw Data Distribution to Standard Normal Distribution. Using your raw data gathered in Task 2 and the sample mean and sample standard deviation calculated in Task 3, calculate: o percentage of your raw data falling within one standard deviation of the mean; o percentage of your raw data falling within two standard deviations of the mean; o percentage of your raw data falling within three standard deviations of the mean ? Task 7: Communicating Evaluation, Analysis, Results, and Conclusions. Provide two to three paragraphs that: o interpret your statistics and graphs; o answer whether your percentages calculated in Task 6 indicate that your data distribution (shown in the histogram created in Task 5) is the same as the 68/95/99.5% standard normal distribution? Be sure to explain why you think your data distribution does or does not match the standard normal distribution. o relate to the purpose of the project 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.

statistics_project_instructions___032316.pdf

Unformatted Attachment Preview

Don't use plagiarized sources. Get Your Custom Essay on

Comparison of the Amount of Fat in Different Brands of Healthy Cereal.

Just from $13/Page

MATH 106 Statistics Project Instructions

Version 2.1 (Summer 2016)

MATH 106 Statistics Project Instructions (Revised May 2016)

For this assignment, you will implement a project involving statistical procedures. The topic may

be something that is related to your work, a hobby, or something you found interesting. If you

choose, you may use the example described below.

The project is made of the following tasks. Each task must be addressed in the statistics project

report in order to qualify for full credit:

?

?

?

?

?

?

?

Task 1: identify:

o Yourself (students name)

o name of project

o purpose of project

Task 2: Conduct Data Collection. Provide:

o Raw data used (sample size must be at least 10 individual raw scores)

o source of the data

Task 3: Calculate Measures of Central Tendency and Variability:

o median, sample mean, range, sample variance, and sample standard deviation

(show work)

Task 4: Frequency Distribution. Provide

o Raw data in frequency table format (1st column of value intervals, and 2nd

column shows frequency: number of scores falling within each interval)

Task 5: Histogram:

o Create histogram using frequency table constructed in Task 4

o NOT a vertical bar chart!

o x axis must show intervals, y axis must show frequencies

Task 6: Compare Raw Data Distribution to Standard Normal Distribution. Using your

raw data gathered in Task 2 and the sample mean and sample standard deviation

calculated in Task 3, calculate:

o percentage of your raw data falling within one standard deviation of the mean;

o percentage of your raw data falling within two standard deviations of the mean;

o percentage of your raw data falling within three standard deviations of the mean

Task 7: Communicating Evaluation, Analysis, Results, and Conclusions. Provide two to

three paragraphs that:

o interpret your statistics and graphs;

o answer whether your percentages calculated in Task 6 indicate that your data

distribution (shown in the histogram created in Task 5) is the same as the

68/95/99.5% standard normal distribution? Be sure to explain why you think

your data distribution does or does not match the standard normal distribution.

o relate to the purpose of the project

1

MATH 106 Statistics Project Instructions

Version 2.1 (Summer 2016)

*****************************************************************************

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.

2

MATH 106 Statistics Project Instructions

Version 2.1 (Summer 2016)

Example: The following measurements of grams of fat per ¼ – pound serving of 10 different

brands of ground beef were made:

17

22

11

26

13

23

15

15

18

30

Calculate the percentage of raw data falling within 1, 2, and 3 standard deviations of the mean:

SOLUTION:

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). Sample mean ?¯ = 19.0

and sample standard deviation s = 6.074

2. Determine raw score bounds for data falling within 1 standard deviation of the mean:

a. subtract 1 standard deviation from mean to get lower bound:

? 19.0 6.074 = 12.926

b. add 1 standard deviation to mean to get upper bound:

? 19.0 + 6.074 = 25.074

3. Count number of raw scores in your data set whose values fall between 12.926 (lower

bound) and 25.074 (upper bound). 7 out of 10 of the raw scores fall between the bounds

(11, 26, and 30 fall outside the bounds). Divide 7 by total number of scores in data

set n = 10 , and then multiply result 0.7 by 100 to get 70 percent of raw data falling

within 1 standard deviation of mean.

4. Now, determine raw score bounds for data within 2 standard deviations of the mean:

a. subtract 2 standard deviations from mean to get lower bound:

? 19.0 (2 x 6.074) = 19.0 12.148 = 6.852

b. add 2 standard deviations to mean to get upper bound:

? 19.0 + (2 x 6.074) = 19.0 + 12.148 = 31.148

5. Count number of raw scores in your data set whose values fall between 6.852 (lower

bound) and 31.148 (upper bound). All 10 out of 10 of the raw scores fall between the

bounds. Divide 10 by total number of scores in data set n = 10, and then multiply result 1

by 100 to get 100 percent of raw data falling within 2 standard deviations of mean.

6. Now, determine raw score bounds for data within 3 standard deviations of the mean:

a. subtract 3 standard deviations from mean to get lower bound:

? 19.0 (3 x 6.074) = 19.0 18.222 = 0.778

b. add 3 standard deviations to mean to get upper bound:

? 19.0 + (3 x 6.074) = 19.0 + 18.222 = 37.222

7. Count number of raw scores in your data set whose values fall between 0.778 (lower

bound) and 37.222 (upper bound). Again, all 10 out of 10 of the raw scores fall between

the bounds. Divide 10 by total number of scores in data set n = 10, and then multiply

result 1 by 100 to get 100 percent of raw data falling within 3 standard deviations of

mean.

Now you decide how the raw data distribution of 70/100/100 percent within 1/2/3 std

deviations of the mean compares with the 68/95.5/99 percent of the standard normal

distribution?

3

…

Purchase answer to see full

attachment

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
The price is based on these factors:

Academic level

Number of pages

Urgency