Final Project for MA135

You conduct Weight Loss Reseacrh on samples of 15 men and 10 women. One measurement you make is the number of pounds loss over 3 month period;after undergoing a strict workout regiment. To completed this research it will need use the excel data radomizer and analyze the data.

do a one paragraph introduction to your research, discuss how you selected your sample (is it a random sample?), and write a one paragraph conclusion.

Present your data in an organized manner.

PART 1: Answer the following questions

1. Which group loss more weight on average Men or Women? Show your work to how you determined your answer.

1. Find the Average number of days worked out for the entire group N = 25.

1. Find the Mode of the Favorite workout; Back, Chest, Legs or Arms?

PART 2: HYPOTHESIS TESTING

1. You must calculate the following statistics... total average weight loss for the entire population of 25 males and females and the standard deviation N = 25.

1. You must also pick a random sample of 5 males and 5 femalesand calculate the total average weight loss for this sample of interest in pounds, n = 10.

1. Construct a complete hypothesis test and determine if the two groups (population mean () vs sample mean(x-bar)) have significantly different weight loss averages using

Alpha Level -> = 0.05.

Steps: Do steps 1 and 2 at the same time b/c the values in the spreadsheet change each time you open the file:

TASK:

1) Compute the Population Mean, Variance and Standard Deviation of the 25 personsin pounds.

2) Construct a complete hypothesis test and determine if the two groups (population mean vs sample mean) have significantly different balance using Alpha Level -> = 0.05.

The Hypothesis Test should include:

1. Null and Alternative Hypothesis 2. Standard Error of the Mean 3. Standard Score Z_score

4. Alpha Level -Critical Z_scores(two-tail test) 5. Conclusion: a. fail to reject H₀ or b. reject H₀

Part 3:

6. Conclusion with reference to original hypothesis statement; state "if the two groups (population mean vs sample mean) have significantly different weight loss averages". Also include your overall synopis of this course and your project.

	Weight Loss in(LBS)	Number of Days Workout	Favorite Workout
Male # 1	8	4	Back
Male # 2	25	7	Arms
Male # 3	22	2	Back
Male # 4	17	5	Chest
Male # 5	23	6	Chest
Male # 6	11	2	Legs
Male # 7	28	4	Chest
Male # 8	18	6	Legs
Male # 9	12	4	Chest
Male # 10	12	4	Chest
Male # 11	13	3	Chest
Male # 12	15	7	Arms
Male # 13	8	3	Back
Men # 14	12	4	Back
Male # 15	6	7	Legs
Female # 1	7	6	Chest
Female # 2	6	7	Chest
Female # 3	25	6	Back
Female # 4	16	2	Legs
Female # 5	20	5	Back
Female # 6	20	1	Chest
Female # 7	20	3	Chest
Female # 8	27	6	Back
Female # 9	33	4	Arms
Female # 10	33	3	Arms