The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below.
$$\begin{array} { | c | c | c | }
\hline \text { Salesperson } & \text { Years af Experience } & \text { Sales } \
\hline 1 & 0 & 7 \
2 & 2 & 9 \
3 & 10 & 20 \
4 & 3 & 15 \
5 & 8 & 18 \
6 & 5 & 14 \
7 & 12 & 20 \
8 & 7 & 17 \
9 & 20 & 30 \
10 & 15 & 25 \
\hline
\end{array}$$ Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution. )

Question

The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below.
 $$\begin{array} { | c | c | c | } 
\hline \text { Salesperson } & \text { Years af Experience } & \text { Sales } \
\hline 1 & 0 & 7 \
2 & 2 & 9 \
3 & 10 & 20 \
4 & 3 & 15 \
5 & 8 & 18 \
6 & 5 & 14 \
7 & 12 & 20 \
8 & 7 & 17 \
9 & 20 & 30 \
10 & 15 & 25 \
\hline
\end{array}$$ Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution. )

Quizplus · Accepted Answer

The Answer of The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below.
 $$\begin{array} { | c | c | c | } 
\hline \text { Salesperson } & \text { Years af Experience } & \text { Sales } \
\hline 1 & 0 & 7 \
2 & 2 & 9 \
3 & 10 & 20 \
4 & 3 & 15 \
5 & 8 & 18 \
6 & 5 & 14 \
7 & 12 & 20 \
8 & 7 & 17 \
9 & 20 & 30 \
10 & 15 & 25 \
\hline
\end{array}$$ Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution. )

The General Manager of a Chain of Pet Stores Believes