Question

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.

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