Group 4

IS TIME SPENT AT THE GYM RELATED TO AGE?

Problems: For gym goers in given areas, is age related to amount of time spent at gym

Approach: A frame of all gym goers would be hard if not impossible to obtain. Therefore,

we will use Systematic Sampling.

Solution: First each student will find the 3 closest gyms near their house (students live in

different areas so a region of gyms will be selected) then randomly pick two of the gyms.

We will look at the time the gym is open and divide it into 2 slots “am/pm”. We will the

go each gym and find out on average how many people attend in a week divide that by 7

to figure out N. n= 50. We will divide N/n and get our k (each students may be different).

For gym 1 (randomly decided) the student will survey when they open. For gym 2,

student will go when they are half way through the day; each time collecting data.

STUDY DESIGN

THE DATA…..

AGE GYM MIN. AGE GYM MIN. AGE GYM MIN.

16 60 19 120 22 25

16 120 19 60 22 90

17 45 19 45 22 45

17 90 20 120 23 90

17 90 20 45 23 45

17 30 20 105 24 90

18 45 20 75 24 60

18 60 21 60 24 60

18 50 21 47.5 24 30

18 60 21 60 24 60

18 105 22 120 24 60

18 45 22 20 24 90

19 45 22 45 24 105

19 150 22 30 25 90

19 15 22 60 25 60

19 90 22 30 25 60

AGE GYM MIN. AGE GYM MIN. AGE GYM MIN.

25 60 28 150 31 60

26 20 28 75 31 90

26 90 28 45 32 60

27 60 29 30 32 30

27 45 29 75 32 30

27 90 29 45 32 45

27 60 29 90 32 90

27 45 30 30 32 90

27 45 30 90 32 60

27 60 30 90 32 45

27 120 30 90 32 75

27 30 30 60 32 105

28 120 30 30 33 60

28 25 31 30 33 25

28 60 31 60 33 60

28 30 31 45 34 75

AGE GYM MIN. AGE GYM MIN. AGE GYM MIN.

34 75 38 45 44 60

34 75 38 105 44 90

34 75 39 90 45 90

35 60 39 60 45 30

35 105 40 90 45 60

35 75 40 45 45 60

35 75 40 75 45 30

35 90 41 105 46 60

36 60 41 15 47 90

36 60 41 60 47 90

36 60 41 90 47 75

36 75 42 90 48 45

36 60 42 30 48 60

36 120 43 45 49 60

37 60 43 60 49 60

37 45 44 60 50 60

AGE GYM MIN. AGE GYM MIN. AGE GYM MIN.

50 60 57 90 65 60

50 60 58 120 65 75

51 75 58 90 65 60

52 60 58 60 65 120

52 45 58 105 65 60

52 105 59 60 66 30

53 75 59 30 66 105

53 75 60 120 67 75

53 45 60 25 67 75

55 60 60 90 69 75

55 75 61 30 70 60

56 60 62 60 71 60

56 30 62 105

56 60 62 90

56 45 63 75

56 25 63 30

mean – 37.218standard deviation – 3.86

five-number summary – 16, 25, 33, 48.5, 71range – 55 mode – 33

outliers none (less then 10.25 and more then 83.75)

STATISTICS FOR FIRST VARIABLE (AGE)

HISOGRAM FOR FIRST VARIBLE (AGE)

The data is skewed to the right showing a decrease in gym goers as age increases

BOXPLOT FOR FIRST VARIABLE (AGE)

mean – 66.1835standard deviation – 5.19

five-number summary – 15, 45, 60, 90, 150range - 135mode – 60

outliers 15, 15, 20, 20 (less then 22.5 and larger then 157.5)

 

STATISTICS FOR SECOND VARIABLE (TIME SPENT AT GYM IN MINUTES)

HISOGRAM FOR SECOND VARIABLE (TIME SPENT AT GYM IN MINUTES)

The data is not skewed in either direction nor symmetrical. However, the bin that represents 47-62 min is double any other bin.

BOXPLOT FOR SECOND VARIABLE (TIME SPENT AT GYM IN MINUTES)

SCATTERPLOT WITH LINE OF REGRESSION AND LINEAR

COEFFICIENT

10 20 30 40 50 60 70 800

20

40

60

80

100

120

140

160

f(x) = 0.0469880184201441 x + 64.4352064422931R² = 0.00066917269728306

ANALAYSIS

In analyzing a relation between age and time spent at the gym, we found no correlation.

Overall, data for gym goers was found to have a correlation coefficient of (r=.0258683725),

much less than the critical value (.195) at .05 with 100 degrees of freedom (the largest data

available on the table). Age does not affect the amount of time spent in the

gym.

We are 95% confident that a relationship exists because r*p < .05 or .195*.0001<.05 and

because .0000195 is less than .05 we know the relationship exists.

The data returned was in increments of 15 minutes; since we usually give time in increments of quarter hours.

The age diversity of the gym goers.

Senior gym goers work out just as long or longer then the middle-aged gym goer.

The most common answer we received was one hour.

There were a lot more people that were not willing to talk to us then expected; and many did not want to give us their age as well.

We would be interested to see what would happen if we could actually record beginning and ending times for workouts and see if the workout times would actually be an hour, or if the time would

include travel to the gym, working out, showering, and other activities in preparation and finishing off of the workout as well; along with if people over estimate how long they will workout.

THINGS WE FOUND INTERESTING

STUDY DESIGN (2) SARA LARSEN

DATA SLIDES (3-5) MATT BASSETT

FIRST VARIABLE STATS (6) SARA LARSEN

CHARTS FOR FIRST VARIABLE (7-8) JAIME ELSEY

SECOND VARIABLE STATS (9) SARA LARSEN

CHARTS FOR SECOND VARIABLE (10-11) SARA LARSEN

SCATTERPLOT (12) WILLIAM TEAGUE

ANALYSIS (13) WILLIAM AND MATT

INTERESTING THINGS (14) SARA, MATTHEW, & WILLIAM

PARTICIPATION