The General Manager of a Chain of Pet Stores Believes

Essay

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. )