A Professor of Statistics Is Trying to Determine Which of Three

Essay

A professor of statistics is trying to determine which of three statistical software packages is the best for his students.He believes that the time (in hours)it takes a student to master a particular software may be influenced by gender.A 3 X 2 factorial experiment with three replicates was designed,as shown below: $$\begin{array}{l}\text { Gender }\\\begin{array} { | c | c c | } \hline \text { Software } & \text { Male } & \text { Female } \\\hline 1 & 29 & 26 \\& 24 & 32 \\& 20 & 30 \\2 & 32 & 23 \\& 26 & 31 \\& 21 & 25 \\3 & 18 & 27 \\& 20 & 22 \\& 25 & 30 \\\hline\end{array}\end{array}$$ Is there sufficient evidence at the 10% significance level to infer that the time it takes a student to master software and the gender of the student interact?