Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim.
A coin mint has a specification that a particular coin has a mean weight of 2.5g. A sample of 39 coins was collected. Those coins have a mean weight of 2.49582 g. and a standard deviation of 0.01442g. Ude a 0.05 significant level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do th coins appear to conform to the specications of the coin mint?