At α $\alpha$ = 005, Test a Financial Advisorʹs Claim That the Difference Between

At α $\alpha$ = 0.05, test a financial advisorʹs claim that the difference between the mean dividend rate for listings in the
NYSE market and the mean dividend rate for listings in the NASDAQ market is more than 0.75. Assume the
two samples are random and independent. $\begin{array} { l } \text {NYSE}\\\mathrm { n } _ { 1 } = 30 \\\overline { \mathrm { x } } _ { 1 } = 2.75 \% \\\sigma _ { 1 } = 1.14 \%\end{array}$ $\begin{array} { l } \text {NASDAQ}\\\mathrm { n } _ { 2 } = 50 \\\overline { \mathrm { x } } _ { 2 } = 1.66 \% \\\sigma _ { 2 } = 0.63 \%\end{array}$