Let's Hit The Weights!

     Sampling

I obtained my sample of data by asking every third man and every third woman that walked into the door of the North Olmsted Rec. Center. Despite most people complying, and providing me with a honest answer, some people that were questioned did not. I replaced their answers with a one, because I knew that they were at the gym for at least one day that week, the day I questioned them. I followed through with this process until I had asked forty men and forty women, supplying me with a wide variety of answers.

Significance Test

A T - test was completed, because I was comparing the two means of two sets of data samples, opposed to a population. Because I took a sample of gym attentants, I was only able to use a test statistic that used sample standard deviations in the test equation. Both conditions were met for this two sample t - test because both samples of men and women exceeded an n value of 30, and the sampling technique used is completely randomized.
 Mu1 = the mean number of days in a week at the gym for men
 Mu2 = the mean number of days in a week at the gym for women  
Ho = Mu1 - Mu2 = 0
Ha = Mu1 - Mu2 > 0
alpha = 0.05




t = 10.197
p = 7.343  
Conclusion: We reject the null hypothesis at any reasonable significance level since our p level is greater than alpha. Therefore, there is sufficient evidence to suggest that that the average number of days spent at the gym in a given week is greater than the average amount of days spent at the gym in a given week by a woman.

    

Raw Data

 

Graphs

 

 

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