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Project for MA135? You are doing research on balance and fit

  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! 

Sheet1

Balance Time (sec) Number of Days Workout Favorite Workout
1 Men 1 40 4 Chest 3
2 Men 2 50 7 Legs 2
3 Men 3 88 6 Chest 3
4 Men 4 107 2 Legs 2
Men 5 173 7 Arms 1
Men 6 29 2 Legs 2
Men 7 45 3 Back 4
Men 8 163 4 Chest 3
Men 9 120 1 Back 4
Men 10 32 3 Back 4
Men 11 162 7 Legs 2
Men 12 71 2 Back 4
Women 1 136 1 Chest 3
Women 2 18 3 Chest 3
Women 3 120 3 Arms 1
Women 4 107 4 Back 4
Women 5 123 6 Chest 3
Women 6 176 5 Arms 1
Women 7 49 3 Chest 3
Women 8 167 5 Arms 1

Sheet2

Sheet3

,

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

Graphical user interface, application, table, Excel  Description automatically generated

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

A person lifting weights  Description automatically generated with low confidence

Student’s name:

Date: …………….

Professor’s name:

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

M3

M4

M5

M6

M7

M8

M9

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

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

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.

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

Normal Curve

Make sure you level the CV and don’t forget to shade the area of the region!

1. Conclusion about the claim: At _____% significant level, the data_______ provide sufficient evidence to ………………………………………………………………..

5

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image1.png

,

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

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