Step 1 :From a random sample of 81 dates, the mean record high daily temperature in a certain city has a mean of $84.55^{\circ} \mathrm{F}$. Assume the population standard deviation is $14.69^{\circ} \mathrm{F}$. This creates a $95 \%$ confidence interval for the population mean of $(81.35,87.75)$.
Step 2 :Does it seem possible that the population mean could be greater than $89^{\circ} \mathrm{F}$ ?
Step 3 :The correct answer is B. No, it does not seem possible because $89^{\circ} \mathrm{F}$ is greater than the right endpoint of the confidence interval.
Step 4 :\(\boxed{\text{The correct answer is B. No, it does not seem possible because } 89^{\circ} \mathrm{F} \text{ is greater than the right endpoint of the confidence interval.}}\)