3. The average work week for engineers in a start-up company is believed to be about 60 hours. A newly hired engineer hopes that its shorter. She asks 10 engineering friends in startups for the lengths of their average work weeks. Based on the results that follow, should she count on the average work week to be shorter than 60 hours? Data (length of average work week): 70; 45; 55; 60; 65; 60; 55; 60; 50; 55. (a) Define ?0 and ?1. (b) Compute the test statistic. (c) Compute the ? − ????? of the test statistic. (d) Using = 0.05, state your conclusion in simple words.

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