A paint manufacturer wishes to compare the drying times of two different types of paint.Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces.The drying times (in minutes)were recorded.The summary statistics are as follows. $$\begin{array} { r | r }
\text { Type A } & \text { Type B } \
\hline \overline { \mathrm { x } } _ { 1 } = 76.1 & \overline { \mathrm { x } } _ { 2 } = 66.5 \
\mathrm {~s} _ { 1 } = 4.5 & \mathrm {~s} _ { 2 } = 5.1 \
\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9
\end{array}$$ Do the data provide sufficient evidence to conclude that the mean drying time for type A differs from the mean drying time for type B? Perform a $\text { t-test }$ at the 1% significance level.

Question

A paint manufacturer wishes to compare the drying times of two different types of paint.Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces.The drying times (in minutes)were recorded.The summary statistics are as follows. $$\begin{array} { r | r } 
\text { Type A } & \text { Type B } \
\hline \overline { \mathrm { x } } _ { 1 } = 76.1 & \overline { \mathrm { x } } _ { 2 } = 66.5 \
\mathrm {~s} _ { 1 } = 4.5 & \mathrm {~s} _ { 2 } = 5.1 \
\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9
\end{array}$$ Do the data provide sufficient evidence to conclude that the mean drying time for type A differs from the mean drying time for type B? Perform a $\text { t-test }$ at the 1% significance level.

Quizplus · Accepted Answer

The Answer of A paint manufacturer wishes to compare the drying times of two different types of paint.Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces.The drying times (in minutes)were recorded.The summary statistics are as follows. $$\begin{array} { r | r } 
\text { Type A } & \text { Type B } \
\hline \overline { \mathrm { x } } _ { 1 } = 76.1 & \overline { \mathrm { x } } _ { 2 } = 66.5 \
\mathrm {~s} _ { 1 } = 4.5 & \mathrm {~s} _ { 2 } = 5.1 \
\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9
\end{array}$$ Do the data provide sufficient evidence to conclude that the mean drying time for type A differs from the mean drying time for type B? Perform a $\text { t-test }$ at the 1% significance level.

A Paint Manufacturer Wishes to Compare the Drying Times of Two