Test whether the data of the cereal manufacturer provided in Problem 1 can be interpreted as an outcome of a random sample from the specific normal population distribution claimed, i.e. test \(H_{0}: Z \sim N(16.03, .0001)\) versus \(H_{a}\) : not \(H_{0}\). Perform another test that assesses the more general hypothesis that the data is the outcome of a random sample from some normal population distribution, i.e. test \(H_{0}: Z \sim N\left(\mu, \sigma^{2}ight)\) versus \(H_{a}\) : not \(H_{0}\). Use size .05 tests.