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.