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 con mint has a specification that a particular con has a mean weight o 2.5 g A sample o 36 cons was collected. Those cons have a mean weight o 24 25 g and a standard deviation of ??37 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? sea s What are the hypotheses? OA, Ho : ?-2.5 g O c. How#2.5 g OB, Ho: ?-2.5 g H1 : ?#2.5 g Ho: ?#2.5 g 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 B is correct.

t = -2.516

P - value = 0.0166

Final conclusion: Option B is correct.

Do the coin conform the specifications? Option C is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value ? 2.49425 0.002285 35 -2.5164114 0.0166

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