not use excel

In a production line of a pharmaceutical company, 10g pills are made, one of plant managers (head 1) state that the mean weight of the pills is 10g with a deviation of 0.3g. On a visit to the plant, one of the company's managers selects 1 pill at random. and weighs it, giving as a measurement 9.25g, the manager informs of this novelty since he believes that there is a serious problem with the weight of the pills because values below 9.25g and above of 10.75g are very rare. a) With this information, what is the probability that the plant manager's statement (head 1) be rejected when this is true? b) Another of the plant managers (head 2) assures that due to adjustments in the production line the average pill weight has decreased. The following hypothesis test is performed: HO: 1 = 10 vs. H1: u