Independent random samples of managers' yearly salaries (in $1000s) randomly selected from governmental and private organizations provided the following information. At 95% confidence, test to determine if there is a significant difference between the average salaries of the managers in the two sectors. $$\begin{array} { l l }
&\text { Government } & \text { Private } \
\bar{x}&80 & 75 \
s&9 & 10 \
n&28 & 31
\end{array}$$

Question

Independent random samples of managers' yearly salaries (in $1000s) randomly selected from governmental and private organizations provided the following information. At 95% confidence, test to determine if there is a significant difference between the average salaries of the managers in the two sectors. $$\begin{array} { l l } 
&\text { Government } & \text { Private } \
\bar{x}&80 & 75 \
s&9 & 10 \
n&28 & 31
\end{array}$$ ​

Quizplus · Accepted Answer

The Answer is
H₀: μ_{1 -} μ₂ = 0
H_a: μ₁_- μ₂ ≠ 0
df = 56; test statistic t = 2.021; p-value (two-tailed) is between .02 and .05; reject H₀

Independent Random Samples of Managers' Yearly Salaries (In $1000s) Randomly Government Private xˉ8075s910n2831\begin{array} { l l } &\text { Government } & \text { Private } \\\bar{x}&80 & 75 \\s&9 & 10 \\n&28 & 31\end{array}xˉsn​ Government 80928​ Private 751031​

Independent Random Samples of Managers' Yearly Salaries (In $1000s) Randomly $\begin{array} { l l } &\text { Government } & \text { Private } \\\bar{x}&80 & 75 \\s&9 & 10 \\n&28 & 31\end{array}$