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Transcript
Weights of Quarters. Use the weights of the post-1964 quarters listed in Data Set 14
from Appendix B. Assuming that quarters are minted to produce weights with a
population standard deviation of 0.068 g, use the sample of weights with a 0.01
significance level to test the claim that the quarters are from a population with a
mean of 5.670 g. Do the quarters appear to be manufactured according to the U.S.
mint specification that the mean is equal to 5.670 g? (From my textbook the average
weight for post 1964 quarters is 5.6393. If this is not sufficient message me and I
will post the table.
The textbook answer says:
H
0
:   5.670 g. H 1 :   5.670 g. Test statistic: z=2.86. Critical values: z=  2.575. P-
value: 0.0042 (Tech. 0.0043). Reject H0. There is sufficient evidence to warrant rejection
of the claim that the mean equals 5.670 g. These quarters do not appear to have weights
meeting the specifications, but that might be due to wear from use.