The data in the accompanying table give the weights (in g) of randomly selected

Question

The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Since the test statistic does fall within the critical region, fail to reject H0. Since the test statistic does fall within the critical region, reject H0. Since the test statistic does not fall within the critical region, fail to reject H0. Since the test statistic does not fall within the critical region, reject H0.

Explanation / Answer

We are using MINITAB software to solve this question

Sign test of median = 5.670 versus 5.670

N Below Equal Above P Median
40 24 0 16 0.2682 5.662

so we get p-value >0.05

Hence, Test statistic value fall in the critical region , Reject H0 (option b)

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