The workweek for adults in the US that work full time is normally distributed with a mean of 4 7 hours. A newly hired engineer at a start - up company believes that employees at start - up companies work more on average then working adults in the US . She asks 1 5 engineering friends at start - ups for the lengths in hours of their workweek. Test the claim using a 5 % level of significance. The hypotheses for this problem are: H 0 : \ mu = 4 7 H 1 : \ mu > 4 7 4 4 4 3 5 4 5 0 4 8 4 6 4 8 4 8 5 0 4 6 5 5 5 5 5 2 5 4