Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypothesis, 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 2.5 g. A sample of 34 coins was collected. Those coins have a mean weight of 2.49571 g and a standard deviation of 0.01296 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5g. Do the coins appear to conform to the specifications of the coin mint?

A) what are the hypotheses?

B) Identify the test statistic

t=?

C) Identify the P-value___ (round to four decimal places as needed)

D) Identify the critical value(s)

The critical value(s) is (are)___(round to three decimal places as needed. Use a comma to seperate as needed)