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- and state the final conclusion that addresses the original claim. A coin mint has a specification that a particular coin has deviation of 0.01741 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? mean weight of 2.5 g. A sample of 33 coins was collected. Those coins have a mean weight of 2.49624 g and a standard O A. Ho: 2.5 g Hr:2.5g O B. Ho:2.5g Hi 22.5g O C. Ho: H#2.5g Hi 2.5 g O D. Ho:2.5 g Hi 2.5 g Identify the test statistic. t (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O C. Reject Ho There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O D. Reiect H. There is sufficient evidence to warrant reiection of the claim that the samole is from a DoDulation with a mean weiaht eaual to 2.5 a

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test:
μ : Mean of population
H₀ : μ = 2.5
H_A : μ ≠ 2.5

Hypothesis test results:

Mean	Sample Mean	Std. Err.	DF	T-Stat	P-value
μ	2.49624	0.003030692	32	-1.2406408	0.2238

Hence,

Hypotheses: Option A is correct.

t = -1.241

P-value = 0.2238

Final conclusion: Option B is correct.

Do coin appears to conform the specifications? Option B is correct.