Assume that a simple random sample has been selected from a normally distributed

Question

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, 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 36 coins was collected. Those coins have a mean weight of 2.49412 g and a standard deviation of 0.01313 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 conform to the specifications of the coin mint? What are the hypotheses? A. H_0: mu = 2.5 g H_1: mu

Explanation / Answer

Solution:

C. Null hypothesis H0: = 2.5 g
Alternative hypothesis H1: 2.5 g

Claim is in the null hypothesis H0. This is a two tailed test. The null will be rejected if the test statistic is not between the critical values.

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