The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 0.01 level of significance. Give answer to at least 4 decimal places. Hours 45 43 57 54 49 67 B 56 54 49 48 50 55 What are the correct hypotheses? Ho: P Hap 47 hours 0 8 47 o hours Part 2 of 5 Based on the hypotheses, find the following: