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The following data represent the $\mathrm{pH}$ of rain for a random sample of $12$ rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (d) below.$\newline$\begin{tabular}{llll}$\newline$$5$.$05$ & $5$.$72$ & $4$.$62$ & $4$.$80$ \\$\newline$$5$.$02$ & $4$.$57$ & $4$.$74$ & $5$.$19$ \\$\newline$$4$.$61$ & $4$.$76$ & $4$.$56$ & $5$.$30$$\newline$\end{tabular}$\newline$(a) Determine a point estimate for the population mean.$\newline$A point estimate for the population mean is $\square$ (Round to two decimal places as needed.)$\newline$(b) Construct and interpret a $95$\% confidence interval for the mean $\mathrm{pH}$ of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice.$\newline$(Use ascending order. Round to two decimal places as needed.)$\newline$A. There is a $95 \%$ probability that the true mean $\mathrm{pH}$ of rain water is between $\square$ and $\square$$\newline$B. If repeated samples are taken, $95 \%$ of them will have a sample $\mathrm{pH}$ of rain water between $\square$ and $\square$$\newline$C. There is $95 \%$ confidence that the population mean $\mathrm{pH}$ of rain water is between $\square$ and $\square$