Determine Whether the Samples Are Independent or Dependent Use a 001 Significance Level to Test the Claim That the Mean

question 36

Essay

Determine whether the samples are independent or dependent.
-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 hours) were recorded. The summary statistics are as follows. $$\begin{array} { | c | l | } \hline \text { Type } \mathrm { A } & { \text { Type } \mathrm { B } } \\\hline \overline { \mathrm { x } } _ { 1 } = 76.8 \mathrm { hrs } & \overline { \mathrm { x } } _ { 2 } = 66.1 \text { hrs } \\\mathrm { s } _ { 1 } = 4.5 \mathrm { hrs } & \mathrm { s } _ { 2 } = 5.1 \mathrm { hrs } \\\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9 \\\hline\end{array}$$ Use a 0.01 significance level to test the claim that the mean drying time for paint type A is equal to the mean
drying time for paint type B. Use the P-value method of hypothesis testing.