Assume that a sample random sample bas been selected from a

Assume that a sample random sample bas been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and stale the final conclusion that addresses the orginal 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 2.49387 g and a standard deviation of 0.01655 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? Identify the test statistic. (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.)

Solution

Hypothesis is

H0: mu = 2.5 g

Ha: mu not equal to 2.5 g

mu diff = 0.00613

Std error =0.01655/6 = 0.002759

Test statistic = 2.2217=2.222

df = 35

p value = .032866.

As p <0.05 reject null hypothesis

The coins do not appear to conform the specification of the mint.