Samples Were Taken from the Morning AM) and the Afternoon

Samples were taken from the morning AM) and the afternoon PM) shifts of a production process. The results are shown below.
$\begin{array}{|l|c|c|}\hline & \begin{array}{c}\text { 1) } \\\text { AM Shift }\end{array} & \begin{array}{c}\text { 2) } \\\text { PM Shift }\end{array} \\\hline \text { Sample Size } & 900 & 800\\\hline \text { Sample Mean } & 810 & 600 \\\hline \text { Population Variance } & 144 & 196 \\\hline\end{array}$ Determine the following for the above data.
a. Standard error of the mean
b. Point estimate of the difference between the two means.
c. Develop a 97% confidence interval estimate for the difference between the two means.