# Use of probability and normal distribution

Use of probability and normal distribution. This week’s lab highlights the use of probability and normal distribution. Follow the directions below to gather data, calculate using Excel spreadsheets, and interpret the results.

Deliverables

The deliverable is a Word document with your answers to the questions posed below based on the data you find.

Required Software

Microsoft Word

Microsoft Excel

Steps to Complete Week 5 Lab

Use the Weeks 3 and 5 spreadsheets to help you answer the questions below.

Step 1: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for this group by using the Week 3 Excel spreadsheet. Post a screen shot of the portion of the spreadsheet that helped you determine these values. How does your height compare to the mean (average) height of the group that you surveyed? Is your height taller, shorter, or the same as the mean of your group?

Data Example of 10 people with different heights

Step 2: Give some background information on the group of people you used in your study. You might consider using the following questions to guide your answer.

How did you choose the participants for your study (sampling method)?

What part of the country did your study take place in?

What are the age ranges of your participants?

How many of each gender did you have in your study?

What are other interesting factors about your group?

Step 3: Use the Week 5 Excel spreadsheet for the following.

(Use the Empirical Rule tab from the spreadsheet). Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the ten heights in your height study.

What do these values tell you?

Post a screen shot of your work from the Week 5 Excel spreadsheet.

Week 5 Spreadsheet Example

(Use the normal probability tab from the spreadsheet). Based on your study results, what percent of the study participants are shorter than you? What percent are taller than you?

Post a screen shot of your work from the Week 5 Excel spreadsheet.

Use of probability

Example: If my height is 73 inches, then 20.86% of the relevant population is shorter. The other 79.14%, of course, is taller.

Week 5 Spreadsheet Example

Step 4: Be sure your name is on the Word document, save it, and then submit it under “Assignments” and “Week 5: Lab”.

Grading

This activity will be graded based on the Week 5 Lab Rubric.

Course Outcomes (CO): 3, 4, 5

Due Date: By 11:59 p.m. MT on Sunday

Rubric

Week 5 Assignment: Lab

Week 5 Assignment: Lab

Criteria Ratings Pts

This criterion is linked to a Learning OutcomeMeasures of Central Tendency and Variation

12.0 pts

Addresses all elements of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights

10.2 pts

Addresses 4 out of 5 of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights

8.4 pts

Addresses 3 out of 5 of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights

6.6 pts

Addresses 1 or 2 out of 5 of the following: *10 height values *mean of data *standard deviation of data *screenshot of values calculated on spreadsheet *comparison of heights

0.0 pts

No Effort

12.0 pts

This criterion is linked to a Learning OutcomePopulation Data and Sampling Techniques

15.0 pts

Addresses all elements of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants

12.75 pts

Addresses 4 out of 5 of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants

10.5 pts

Addresses 3 out of 5 of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants

8.25 pts

Addresses 1 or 2 out of 5 of the following: *Sampling method *Location *Age group of participants *Gender of participants *Other factors about participants

0.0 pts

No Effort

15.0 pts

This criterion is linked to a Learning OutcomeProbability, and Measures that would follow a normal distribution in life sciences

15.0 pts

## Use of probability

Addresses all elements of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles

12.75 pts

Addresses 4 out of 5 of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles

10.5 pts

Addresses 3 out of 5 of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles

8.25 pts

Addresses 1 or 2 out of 5 of the following: *Empirical Rule values *Interpretation of Empirical Rule values *Screenshot of Empirical spreadsheet *Interpretation of Normal Distribution spreadsheet values *Screenshot of probabilities/ percentiles

0.0 pts

No Effort

15.0 pts

This criterion is linked to a Learning OutcomeGrammar and Formatting

8.0 pts

Lab is easy to read and presents material in a logical order with no grammatical errors.

6.8 pts

Lab is easy to read and presents material in a logical order. There are a few grammatical errors but they do not distract from readability.

5.6 pts

Lab is easy to read and has few grammatical errors, but it is not logically organized.

4.4 pts

There are significant grammatical errors and organizational issues that distract from readability.

0.0 pts