Question 1 10 pts A machine is supposed to produce nails with an average length of 3 inches, with a standard deviation of 0.09 inches. In order to assure the quality of the outputs, an inspector picked a random sample of 40 nails, the mean length of the sample turned out to be 3.025 inches. Is there evidence to suggest that the machine wasn't working properly? Use a 0.05 significance level. 1. H.: mu (= ; =) 3 Ha: mu ( ; > ; =) O Ha: mug - muc ( ; > ; =) 70 Ha: mu ( ; >; =) 0.9 Ha: P ( ; >;=) Ha: D ( ; > ; =) 0 Ha: mu2005 - mu2012 ( ; > ; = 0 OH1 - H , # 0