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 39 coins was collected. Those coins have a mean weight of 2.49537 g and a standard deviation of 0.01112 g. Use a 0.05 significanelevel 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? B. Ho : ?-2.5g H1:?

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 2.5
HA : ? ? 2.5

Hypothesis test results:

Hence,

Hypotheses: Option D is correct.

t = -2.600

P-value = 0.0132

Final conclusion: Option B is correct.

Do coin conform specifications? Option C is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value ? 2.49537 0.0017806251 38 -2.6002105 0.0132

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