The Histogram Displays the Body Fat Percentages of 65 Students

question 115

Multiple Choice

The histogram displays the body fat percentages of 65 students taking a college health course.In addition to describing the distribution,give a reason to account for the shape of this distribution.

• A)The distribution of body fat percentages is bimodal,with a cluster of body fat percentages around 16% and another cluster of body fat percentages around 26%.The upper cluster shows a bit of a skew to the right.Most students in the lower cluster have body fat percentages between 16% and 20%,and most students in the upper cluster have body fat percentages between 22% and 26%.Men and women have different body fat percentages: the lower cluster would likely represent male students,and the upper cluster would likely represent female students.
• B)The distribution of body fat percentages is unimodal,with a bit of a skew to the right.The body fat percentages are centred around 20%,with a range of 10% to 35%.Most students have body fat percentages between 12% and 28%.Men and women have different body fat percentages,but the average of body fat percentages for men and women would be around 20%.
• C)The distribution of body fat percentages is unimodal,with a bit of a skew to the right.The body fat percentages are centred around 24%,with a range of 10% to 34%.Most students have body fat percentages between 12% and 28%.Men and women have different body fat percentages,but the average of body fat percentages for men and women would be around 24%.
• D)The distribution of body fat percentages is bimodal,with a cluster of body fat percentages around 16% and another cluster of body fat percentages around 26%.The upper cluster shows a bit of a skew to the right.Most students in the lower cluster have body fat percentages between 12% and 18%,and most students in the upper cluster have body fat percentages between 22% and 28%.Men and women have different body fat percentages: the lower cluster would likely represent male students,and the upper cluster would likely represent female students.
• E)The distribution of body fat percentages is bimodal,with a cluster of body fat percentages around 12% and another cluster of body fat percentages around 28%.The upper cluster shows a bit of a skew to the right.Most students in the lower cluster have body fat percentages between 12% and 18%,and most students in the upper cluster have body fat percentages between 22% and 28%.Men and women have different body fat percentages: the lower cluster would likely represent male students,and the upper cluster would likely represent female students.

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Definitions:

Population Parameter

A numerical value that represents a characteristic of a population, such as its mean or variance.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation.

Assumption

A basic condition or premise considered to be true without verification or proof, often used as a starting point for further analysis.

Power Curve

A graph of the probability of rejecting H0 for all possible values of the population parameter not satisfying the null hypothesis. The power curve provides the probability of correctly rejecting the null hypothesis.