Statistics: Mean, Standard Deviation, and Confidence Interval

Running head: STATISTICS
Statistics
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Name of the University:
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STATISTICS1
Table of Contents
Answer to the q.no.1..................................................................................................................2
Part a.......................................................................................................................................2
Part b......................................................................................................................................2
Part c.......................................................................................................................................3
Part d......................................................................................................................................3
Part e.......................................................................................................................................4
Part f.......................................................................................................................................4
Answer to the q.no.2..................................................................................................................5
Part a.......................................................................................................................................5
Part b......................................................................................................................................5
Part c.......................................................................................................................................5
Part d......................................................................................................................................5
Part e.......................................................................................................................................5
Part f.......................................................................................................................................5
Part g......................................................................................................................................6
Answer to the q.no.3..................................................................................................................6
Part a.......................................................................................................................................6
Part b......................................................................................................................................6
Part c.......................................................................................................................................6
Part d......................................................................................................................................6
Part e.......................................................................................................................................7
Part f.......................................................................................................................................7
Answer to the q.no.4..................................................................................................................7
Part a.......................................................................................................................................7
Part b......................................................................................................................................8
Part c.......................................................................................................................................8
Part d......................................................................................................................................8
Part e.......................................................................................................................................8
Part f.......................................................................................................................................8
Part g......................................................................................................................................9
Part h......................................................................................................................................9
Answer to the q.no.5..................................................................................................................9
Part a.......................................................................................................................................9
Part b......................................................................................................................................9

STATISTICS2
Part c.......................................................................................................................................9
Part d......................................................................................................................................9
Part e.....................................................................................................................................10

STATISTICS3
Answer to the q.no.1
Part a
The mean of the Body mass index (BMI) = 22.9559 Kg/ cm^2
The standard deviation of the BMI = 2.86393 Kg/ cm^2
n = 202
The 99% confidence interval for the BMI of all athletes is as below
Mean ± 2.58 Standard deviation
√n
= 22.9559 ± 2.58 2.86393
√ 202
= (22.4369, 23.4749)
Therefore the 99% confidence interval for the BMI of all athletes lies between 22.4369 and
23.4749.
Part b
The assumptions and conditions for single sample t- test are as below
 The observations should be normally distributed.
 The observations should be independent.
 The number of sample observations should be more than or equal to 30.
Figure 1 Histogram on Body Mass Index