In: Statistics and Probability
Perform hypothesis tests on the following five problems.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion.
A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 33 coins was collected. Those coins have a mean weight of 2.49616 g and a standard deviation of 0.01851 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.