In order to compare the means of two populations, independent random samples of 225 observations are selected from each population with the following results.

$\begin{array}{ll}
\text { Sample 1 } & \text { Sample 2 } \
\bar{x}_{1}=478 & \bar{x}_{2}=481 \
s_{1}=14.2 & s_{2}=11.2
\end{array}$

Test the null hypothesis $H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0$ against the alternative hypothesis $H _ { \mathrm { a } } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0$ using $\alpha = .10$. Give the significance level, and interpret the result.

Question

In order to compare the means of two populations, independent random samples of 225 observations are selected from each population with the following results.

$\begin{array}{ll}
\text { Sample 1 } & \text { Sample 2 } \
\bar{x}_{1}=478 & \bar{x}_{2}=481 \
s_{1}=14.2 & s_{2}=11.2
\end{array}$

Test the null hypothesis $H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0$ against the alternative hypothesis $H _ { \mathrm { a } } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0$ using $\alpha = .10$. Give the significance level, and interpret the result.

Quizplus · Accepted Answer

The Answer of In order to compare the means of two populations, independent random samples of 225 observations are selected from each population with the following results.

$\begin{array}{ll}
\text { Sample 1 } & \text { Sample 2 } \
\bar{x}_{1}=478 & \bar{x}_{2}=481 \
s_{1}=14.2 & s_{2}=11.2
\end{array}$

Test the null hypothesis $H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0$ against the alternative hypothesis $H _ { \mathrm { a } } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0$ using $\alpha = .10$. Give the significance level, and interpret the result.