A survey of salesmen was conducted to examine the possibility of a relationship between men's height and annual income.The company interested in the results of the survey believes that taller men are more successful at getting sales,resulting in a higher annual income.The table shows the percentages of income levels for each height category.A graphical display of the conditional distributions of income levels by height is given. $\begin{array}{|l|cccc|}
&&height\
\hline income& \text { Under 5'4" } & 5^{\prime} 4^{\prime \prime}-57^{\prime \prime} & 5^{\prime} 8^{\prime \prime}-5 ' 11 " & \text { Over } 5^{\prime} 11^{\prime \prime} \
\hline \text { Under } \$ 35,000 & 12 \% & 13 \% & 13 \% & 6 \% \
\$ 35,000-\$ 49,999 & 21 \% & 21 \% & 20 \% & 20 \% \
\$ 50,000-\$ 69,999 & 23 \% & 22 \% & 23 \% & 23 \% \
\$ 70,000-\$ 99,999 & 24 \% & 24 \% & 25 \% & 24 \% \
\$ 100,000 \text { and over } & 20 \% & 20 \% & 19 \% & 27 \% \
\hline \text { Total } & 100 & 100 & 100 & 100 \
\hline
\end{array}$ Do these data support the company's belief: taller men are more successful salesmen? Explain.
A)Yes.The percentages in all income levels for salesmen over 5'11'' are higher than the percentages in the same income levels for men 5'11'' or shorter.
B)Yes,to a certain extent.The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter.Similarly,the percent of salesmen over 5'11'' that make under $35,000 is 6%,compared to the 12% or 13% for men 5'11'' or shorter.However,with these two exceptions,the percentages in the remaining income levels did not vary by more than 1%.
C)No.The percentages in the income levels for the different height categories did not vary by more than 1%,with the exception of salesmen over 5'11' in the under $35,000 category and the $100,000 or over category.These data should be ignored.
D)No.The percentages in all income levels for all height categories of salesmen are too similar to make this claim.
E)Yes.The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter.Similarly,the percent of salesmen over 5'11'' that make under $35,000 is 6%,compared to the 12% or 13% for men 5'11'' or shorter.

Question

A survey of salesmen was conducted to examine the possibility of a relationship between men's height and annual income.The company interested in the results of the survey believes that taller men are more successful at getting sales,resulting in a higher annual income.The table shows the percentages of income levels for each height category.A graphical display of the conditional distributions of income levels by height is given. $\begin{array}{|l|cccc|}
&&height\
\hline income& \text { Under 5'4" } & 5^{\prime} 4^{\prime \prime}-57^{\prime \prime} & 5^{\prime} 8^{\prime \prime}-5 ' 11 " & \text { Over } 5^{\prime} 11^{\prime \prime} \
\hline \text { Under } \$ 35,000 & 12 \% & 13 \% & 13 \% & 6 \% \
\$ 35,000-\$ 49,999 & 21 \% & 21 \% & 20 \% & 20 \% \
\$ 50,000-\$ 69,999 & 23 \% & 22 \% & 23 \% & 23 \% \
\$ 70,000-\$ 99,999 & 24 \% & 24 \% & 25 \% & 24 \% \
\$ 100,000 \text { and over } & 20 \% & 20 \% & 19 \% & 27 \% \
\hline \text { Total } & 100 & 100 & 100 & 100 \
\hline
\end{array}$  Do these data support the company's belief: taller men are more successful salesmen? Explain.
A)Yes.The percentages in all income levels for salesmen over 5'11'' are higher than the percentages in the same income levels for men 5'11'' or shorter. 
B)Yes,to a certain extent.The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter.Similarly,the percent of salesmen over 5'11'' that make under $35,000 is 6%,compared to the 12% or 13% for men 5'11'' or shorter.However,with these two exceptions,the percentages in the remaining income levels did not vary by more than 1%. 
C)No.The percentages in the income levels for the different height categories did not vary by more than 1%,with the exception of salesmen over 5'11' in the under $35,000 category and the $100,000 or over category.These data should be ignored. 
D)No.The percentages in all income levels for all height categories of salesmen are too similar to make this claim. 
E)Yes.The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter.Similarly,the percent of salesmen over 5'11'' that make under $35,000 is 6%,compared to the 12% or 13% for men 5'11'' or shorter.

Quizplus · Accepted Answer

The Answer of A survey of salesmen was conducted to examine the possibility of a relationship between men's height and annual income.The company interested in the results of the survey believes that taller men are more successful at getting sales,resulting in a higher annual income.The table shows the percentages of income levels for each height category.A graphical display of the conditional distributions of income levels by height is given. $\begin{array}{|l|cccc|}
&&height\
\hline income& \text { Under 5'4" } & 5^{\prime} 4^{\prime \prime}-57^{\prime \prime} & 5^{\prime} 8^{\prime \prime}-5 ' 11 " & \text { Over } 5^{\prime} 11^{\prime \prime} \
\hline \text { Under } \$ 35,000 & 12 \% & 13 \% & 13 \% & 6 \% \
\$ 35,000-\$ 49,999 & 21 \% & 21 \% & 20 \% & 20 \% \
\$ 50,000-\$ 69,999 & 23 \% & 22 \% & 23 \% & 23 \% \
\$ 70,000-\$ 99,999 & 24 \% & 24 \% & 25 \% & 24 \% \
\$ 100,000 \text { and over } & 20 \% & 20 \% & 19 \% & 27 \% \
\hline \text { Total } & 100 & 100 & 100 & 100 \
\hline
\end{array}$  Do these data support the company's belief: taller men are more successful salesmen? Explain.
A)Yes.The percentages in all income levels for salesmen over 5'11'' are higher than the percentages in the same income levels for men 5'11'' or shorter. 
B)Yes,to a certain extent.The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter.Similarly,the percent of salesmen over 5'11'' that make under $35,000 is 6%,compared to the 12% or 13% for men 5'11'' or shorter.However,with these two exceptions,the percentages in the remaining income levels did not vary by more than 1%. 
C)No.The percentages in the income levels for the different height categories did not vary by more than 1%,with the exception of salesmen over 5'11' in the under $35,000 category and the $100,000 or over category.These data should be ignored. 
D)No.The percentages in all income levels for all height categories of salesmen are too similar to make this claim. 
E)Yes.The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter.Similarly,the percent of salesmen over 5'11'' that make under $35,000 is 6%,compared to the 12% or 13% for men 5'11'' or shorter.

A Survey of Salesmen Was Conducted to Examine the Possibility