1. IS TIME SPENT AT THE GYM
RELATED TO AGE?
Group 4

2. STUDY DESIGN
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.

3. THE DATA…..

4. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN.
16 60 19 120 22 25 25 60 28 150 31 60
16 120 19 60 22 90 26 20 28 75 31 90
17 45 19 45 22 45 26 90 28 45 32 60
17 90 20 120 23 90 27 60 29 30 32 30
17 90 20 45 23 45 27 45 29 75 32 30
17 30 20 105 24 90 27 90 29 45 32 45
18 45 20 75 24 60 27 60 29 90 32 90
18 60 21 60 24 60 27 45 30 30 32 90
18 50 21 47.5 24 30 27 45 30 90 32 60
18 60 21 60 24 60 27 60 30 90 32 45
18 105 22 120 24 60 27 120 30 90 32 75
18 45 22 20 24 90 27 30 30 60 32 105
19 45 22 45 24 105 28 120 30 30 33 60
19 150 22 30 25 90 28 25 31 30 33 25
19 15 22 60 25 60 28 60 31 60 33 60
19 90 22 30 25 60 28 30 31 45 34 75

5. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN. AGE GYM MIN.
34 75 38 45 44 60 50 60 57 90 65 60
34 75 38 105 44 90 50 60 58 120 65 75
34 75 39 90 45 90 51 75 58 90 65 60
35 60 39 60 45 30 52 60 58 60 65 120
35 105 40 90 45 60 52 45 58 105 65 60
35 75 40 45 45 60 52 105 59 60 66 30
35 75 40 75 45 30 53 75 59 30 66 105
35 90 41 105 46 60 53 75 60 120 67 75
36 60 41 15 47 90 53 45 60 25 67 75
36 60 41 60 47 90 55 60 60 90 69 75
36 60 41 90 47 75 55 75 61 30 70 60
36 75 42 90 48 45 56 60 62 60 71 60
36 60 42 30 48 60 56 30 62 105
36 120 43 45 49 60 56 60 62 90
37 60 43 60 49 60 56 45 63 75
37 45 44 60 50 60 56 25 63 30

6. STATISTICS FOR FIRST VARIABLE
(AGE)
mean – 37.218
standard deviation – 3.86
five-number summary – 16, 25, 33, 48.5, 71
range – 55
mode – 33
outliers none (less then 10.25 and more then 83.75)

7. HISOGRAM FOR FIRST VARIBLE
(AGE)
The data is skewed
to the right showing
a decrease in gym
goers as age
increases

8. BOXPLOT FOR FIRST VARIABLE
(AGE)

9. STATISTICS FOR SECOND VARIABLE
(TIME SPENT AT GYM IN MINUTES)
mean – 66.1835
standard deviation – 5.19
five-number summary – 15, 45, 60, 90, 150
range - 135
mode – 60
outliers 15, 15, 20, 20 (less then 22.5 and larger then 157.5)

10. 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.

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

12. SCATTERPLOT WITH LINE OF
REGRESSION AND LINEAR
COEFFICIENT
160
140
120
100
80
60
40
20
0
0 10 20 30 40 50 60 70 80

13. 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.

14. THINGS WE FOUND
INTERESTING
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.

15. PARTICIPATION
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