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 32 coins was collected. Those coins have a mean weight of 2.49532 g and a standard deviation of 0.01762 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. Upper H0: =2.5 g Upper H1: 2.5 g

B. Upper H0: =2.52.5 g Upper H1: muless than<2.5 g

C. Upper H0: 2.5 g Upper H1: muequals=2.5 g

D. Upper H0: =2.5 g Upper H1: 2.52.5 g

Explanation / Answer

We need to state the null hypothesis nd the alternative hypothesis.

The correct answer is A.

Upper H0 : (Null Hypothesis) is  2.5 g

Alternative hypothesis: Upper H1: equals=2.5 g

Definition:

The statement being tested in a test of [statistical] significance is called the null hypothesis. The test of significance is designed to assess the strength of the evidence against the null hypothesis. Usually, the null hypothesis is a statement of 'no effect' or 'no difference'. It is often symbolized as H0.

The statement that is hoped or expected to be true instead of the null hypothesis is the alternative hypothesis.Symbols include H1 and Ha.

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