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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

A Professor of Statistics Is Trying to Determine Which of Three