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: 1. 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! 2 After downloading the excel data generator, please take a screen shot like below then attach it on the first page of the project. Figure 1Excel data generator Figure 2 If you do not attach, you will lose 10% of the grade. After downloading the excel data generator, please take a screen shot like below then attach it on the first page of the project. Sample Cover page MA-135(Section #): Title Figure 3Picture .

1. 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:
1. 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

2. 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.

3. (Points are deducted for quality and mechanics).
Extra Credit: Maximum of 5 points
Graphics, graphs… Wow me!
2
After downloading the excel data generator, please take a screen
shot like below then attach it on the first page of the project.
Figure 1Excel data generator
Figure 2
If you do not attach, you will lose 10% of the grade.
After downloading the excel data generator, please take a screen
shot like below then attach it on the first page of the project.
Sample Cover page
MA-135(Section #):
Title
Figure 3Picture
Student’s name:
Date: …………….
Professor’s name:

4. Sample project of MA-135
Write down the name of the project here.
Add your own introduction here (one paragraph)
The data collected from the 12 men & the calculations asking in
the project are shown in the table below:
Male
Time in Second(X)
Number of Days Workout
Favorite Workout
M1
Use the number from the excel data generator
Square the x value from left column for each row below
Use the number from the excel data generator
Use the list from the excel data generator
M2

5. M3
M4
M5
M6
M7
M8
M9

6. M10
M11
M12
n = 12 Median=
Mode=
Mean (M) = =
SS =
The standard deviation: S = = =
The Standard error of the mean: = = =
Level α = 0.10
df = n-1 = 12-1= 11
t Value (From the chart) = ±1.796
90% confidence interval for the men = M ± CV X The data
collected from the 8 women & the calculations asking in the
project are shown in the table below:
Female
Time in second(X)
Number of Days Workout

7. Favorite Workout
FM1
Use the number from the excel data generator
Square the x value from left column for each row below
Use the number from the excel data generator
Use the list from the excel data generator
FM2
FM3
FM4
FM5
FM6

8. FM7
FM8
n = 8 ∑X = Med=
Mode
Mean: M = =
SS =
The standard deviation: S = = =
The standard error of the mean: = = =
Level α = 1-0.90 = 0.10.
df = n-1 = 8-1 =7
t value (From the chart) = 1.895
90% confidence interval for the women= M ±CV (t-value) X
Hypothesis test:
Male Female
= 12 = 8
= use mean from male group = use mean from
female group
= use from male group = use from female group
df = + - 2
= 12 + 8 -2
df = 18
Level = 0.05.

9. 1.
The null hypothesis ( ) : - = 0
1.
The alternative hypothesis ( ) : ≠ 0
1.
The critical value : t = ± 2.101
1.
The test statistics :
Detail calculations
Pooled variance: = = = = 8.23 This is just a sample!
Estimated standard error: = =
= = = 1.31(you will have different
answer)
The t statistics: t = = = = -2.48 (you will have different
answer)
The test statistics: = -2.48 (you will have different answer)
1.
Decision:
Figure 4 Normal curve
Make sure you level the CV and don’t forget to shade the area
of the region!

10. 1.
Conclusion about the claim: At _____% significant
level, the data_______ provide sufficient evidence to
………………………………………………………………..
5
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Sheet1Balance Time (sec)Number of Days Workout Favorite
Workout1Men 1404Chest32Men 2507Legs23Men
3886Chest34Men 41072Legs2Men 51737Arms1Men
6292Legs2Men 7453Back4Men 81634Chest3Men
91201Back4Men 10323Back4Men 111627Legs2Men
12712Back4Women 11361Chest3Women 2183Chest3Women
31203Arms1Women 41074Back4Women 51236Chest3Women
61765Arms1Women 7493Chest3Women 81675Arms1
Sheet2
Sheet3