Suppose that Vera wants to test the hypothesis that women make less money than men doing the same job. According to the Bureau of Labor Statistics (BLS), the median weekly earnings for men in the professional and related occupation sector in 2015 was $1343. Vera collected median weekly earnings data for women in 2015 from a random subset of 19 positions in the professional and related occupation sector. The following is the sample data.

Vera assumes that the women's median weekly earnings data is normally distributed, so she decides to perform a t-test at a significance level of = 0.05 to test the null hypothesis, 0:=1343H0:=1343 against the alternative hypothesis, 1:<1343H1:<1343, where is the population mean.

If the requirements for performing a t-test have not been met, only answer the final question. Otherwise, answer all five of the following questions.

First, compute the mean, x, of Vera's sample. Report your answer with two decimals of precision.