Problem

Shane is studying the lengths of the tails of male red kangaroos. He takes a random sample of 14 male red kangaroos and measures the length of the tail, $x$ m, for each kangaroo. He then calculates a 90% confidence interval for the population mean tail length, $\mu$ m, of male red kangaroos. He assumes that the tail lengths are normally distributed and finds that $1.11 \leq \mu \leq 1.14$.

Find the values of $\sum x$ and $\sum x^2$ for this sample.