STEP 1: 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.

## STEP 1: You are doing research on balance and fitness

**Project for MA235 **

**STEP 1:** 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?

**STEP 2:** 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?

**STEP 3:** 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

**STEP 4:** Construct a complete hypothesis test and determine if the two groups have significantly different balance using α = 0.05.

**STEP 5:** 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 (8 points) ____________

Critical t value is correct (6 points) ____________

Computation of the t statistic is correct (8 points) ____________

Decision regarding the hypothesis is correct (8 points) ____________

Conclusion regarding the hypothesis is correct (8 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! ____________