A vendor claims that the average weight of a sample shipment of parts is 2.84 kg. The customer randomly chooses 50parts and finds that the sample has an average weight of 1.98 kg. Suppose that the standard deviation of the population is known to be 0.45 kg. Using a level of significance of 0.05, test the hypothesis that the true average weight of the shipment is 1.98 kg. Assume that the weights are normally distributed. 1) state the null and alternative hypothesis. 2) identify if this is a one or two tailed test. 3) identify the critical values. 4) calculate the test statistic. 5) calculate the P-value. 6) State your conclusion.