A coin mint has a specification that a particular coin has a mean weight of

2.52.5

g. A sample of

3434

coins was collected. Those coins have a mean weight of

2.496162.49616

g and a standard deviation of

0.012370.01237

g. Use a

0.050.05

significance level to test the claim that this sample is from a population with a mean weight equal to

2.52.5

g.

Question

Kyan

Mathematics

25 February, 20:25

A coin mint has a specification that a particular coin has a mean weight of

2.52.5

g. A sample of

3434

coins was collected. Those coins have a mean weight of

2.496162.49616

g and a standard deviation of

0.012370.01237

g. Use a

0.050.05

significance level to test the claim that this sample is from a population with a mean weight equal to

2.52.5

g.

+2

Answers (1)

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Carissa Ferrell · Answer 1

Null Hypothesis:µ equals 2.5Alternative Hypothesis: µ not equal to 2.5 Z Test Test Statistic, Ztest: - 18.1912 Critical Zcritical: ±1.9607 P-Value: 0,0000 As Ztest is not within the limits of Zcritical we can reject the null hypothesis 95% Confidence interval: 2.495746 < µ < 2.496574