Question: STEP 3: You will analyze your data and compute the following statistics for each group: 1)The Mean and standard deviation of the number of seconds
STEP 3: 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
The Mean for men = 0.2150
0.18+0.25+0.22+0.19+0.21+0.26+0.22+0.22+0.20+0.23+0.20+0.20 = 2.58
2.58/12=0.2150
The Standard Deviation for men=0.0235
s2=
(xi- x)2
N - 1
=
(0.18 - 0.215)2+ ... + (0.20 - 0.215)2
12 - 1
=
0.0061
11
=
0.00055454545454545
s =
0.00055454545454545
=
0.023548788812707
The Mean for women = 0.2287
0.19+0.22+0.25+0.27+0.20+0.25+0.24+0.21=1.83
1.83/8=0.2288
The Standard Deviation for women = 0.0279
s2 =
(xi - x)2
N - 1
=
(0.19 - 0.22875)2 + ... + (0.21 - 0.22875)2
8 - 1
=
0.0054875
7
=
0.00078392857142857
s =
0.00078392857142857
=
0.027998724460742
2)The Median number of days per week exercised?
The Median number of days per week exercised for men =3+3=6/2=3
The Median number of days per week exercised for women = 2+3=5/2=2.5
3)The Mode of the favorite exercise?
The mode of the favorite exercise for men =Push ups
The mode of the favorite exercise for women = Cardiovascular
4)The 90% confidence interval of the mean?
The 90% confidence interval of the mean for men = 0.20 0.23
=
0.2150 1.6449
0.0235
12
=
0.2150 0.0112
The 90% confidence interval of the mean for women = 0.20 0.23
=
0.2287 1.6449
0.0279
8
=
0.2287 0.0162
STEP 4: Construct a complete hypothesis test and determine if the two groups have significantly different balance using = 0.05.
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