Answer:
No it is not reasonable to believe that the that the distribution of body weights for women aged 20 to 29 is approximately Normal.
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 141.7 \ pounds[/tex]
The median is [tex]Q_2 = 133.2 \ pound[/tex]
The first quartile is [tex]Q_1 = 118.3 \ pound[/tex]
The third quartile is [tex]Q_3 = 157.3 \ pound[/tex]
Generally the Bowley's coefficient of skewness is mathematically represented as
[tex]B = \frac{ Q_3 +[ Q_1 -[2* Q_2}{Q_3 - Q_1}[/tex]
=> [tex]B = \frac{ 157.3 +[ 118.3 -[2* 133.2 }{157.3 - 118.3}[/tex]
=> [tex]B = 0.2359[/tex]
Give that the Bowley's coefficient is positive it means that the distribution of weight is positively skewed
