Suppose that simple random sample has been chosen from a normally distributed population and test the given claim. Identify the null and alternative hypothesis, test statistic, P-vale, critcal value(s), and state the inal conclusion that addresses the original claim.
A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 36 coins was collected. Those coins have a mean weight of 2.49451 g and a standard deviation of 0.01216 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to comform to the specifications of the coin mint?
A. Identify the test statistic. (Round to three decimal places as needed.)
B. Identify the P-value. (Round to four decimal places as needed.)
C. Identify the critical value(s) is (are). (Round to three decimal places as needed.)