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(Answer) MATH399N – Week 5 Discussion: Interpreting Normal Distributions

Required Resources

Read/review the following resources for this activity:

Textbook: Chapter 6 (All Sections)
Lesson
Minimum of 1 scholarly source

Initial Post Instructions

Week 5 Graded Discussion:

Log onto website where you can observe your service bill for the last 12 months (electric bill, cell phone bill, water bill, etc.). If you do NOT feel comfortable sharing this data, you can make up values.

In excel, list the values of your bill for the last 12 months on one column.
Find the sample mean and sample standard deviation of your data.
Pick three bills from the last 12 months and change the values into z-scores. What does the z-score tell you about that particular month?
Analysis

Between what two values would be considered a normal bill? Remember, being within 2 Standard Deviations is considered normal.
Are any of your bills in the last 12 months unusual? Very unusual?
Are there times when you would accept an “unusual” bill? Explain.

ANSWER:

My xxxx bill for the last 12 months =

January: $180

February: $180

March: xxx

April: $210

May: $205

June: xxx

 

The bill that I chose from the last 12 months are $150, $175 and $222

Z scores:

205 = -1.7838736

 

According to the z-scores, the bill for May is 1.7838736 standard deviation below the mean, the bill for June is 0.7448047 standard deviation below the mean… To continue reading, click on the button below.

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