**Statistical Applications**

**Project for MA135**

You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?

Have each subject perform the following task:

a) Have the subjects stand with their hands at their side, raise one knee, cross their ankle over the other knee, squat and bring their hands palms together in front of their chest. Time the subject until they put their foot back down on the floor.

b) Ask the following questions:

i) How many days per week do they exercise?

ii) What is their favorite exercise?

You will analyze your data and compute the following statistics for each group:

1) The Mean and standard deviation of the number of seconds the subject stayed balanced

2) The Median number of days per week exercised

3) The Mode of the favorite exercise

4) The 90% confidence interval of the mean

5) Construct a complete hypothesis test and determine if the two groups have significantly different balance using α = 0.05.

Write a __one page introduction__ to your research, discuss how you selected your sample (is it a random sample?), and __write a one page conclusion__. Present your data in an organized manner.

**Research Project Rubric**

**Organization: Maximum of 10 points**

Overall report is well organized, with a cover page, introductory page, discussion of sampling, all data is shown, statistics are clearly presented, and conclusion page.

(Points are deducted for presentation, missing information).

**Statistics: Maximum of 40 points**

Mean for each group is correct (8 points)

Standard deviation for each group is correct (8 points)

Median for each group is correct (8 points)

Mode for each group is correct (8 points)

Confidence interval of the mean for each is correct (8 points)

**Hypothesis Test: Maximum of 30 points**

Null and Alternate Hypothesis are stated correctly (6 points)

Critical t value is correct (6 points)

Computation of the t statistic is correct (6 points)

Decision regarding the hypothesis is correct (6 points)

Conclusion regarding the hypothesis is correct (6 points)

**Writing: Maximum of 20 Points**

Overall writing is thorough with correct grammar, punctuation,

spelling, and capitalization.

(Points are deducted for quality and mechanics).

**Extra Credit:**** Maximum of 5 points**

Graphics, graphs… Wow me!