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 speculation 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 2.49485 g and a standard deviation of 0.01847 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5g. Do the coins appear to conform to the specifications of the coin mint?

Explanation / Answer

a) hypothesis: option A is correct

std error of mean =std deviation/(n)1/2 =0.00296

therefore test stat t =(X-mean)/std error =(2.49485-2.5)/0.00296 =-1.741

p value =0.0897

final conclusion: option A is correct

does the coins appear....---option A is correct

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