Pre-1983 Post-1982 <1983 Pennies ?1983 Pennies 3.1582 2.5113 3.0406 2.4907 3.076

Question

Pre-1983 Post-1982 <1983 Pennies ?1983 Pennies 3.1582 2.5113 3.0406 2.4907 3.0762 2.5024 3.0398 2.5298 3.1043 2.4950 3.1274 2.5127 3.0775 2.4998 3.1038 2.4848 3.1086 2.4823 3.0586 2.5163 3.0603 2.5222 3.0502 2.5004 3.1028 2.5248 3.0522 2.5058 3.0546 2.4900 3.0185 2.5068 3.0712 2.5016 3.0717 2.4797 3.0546 2.5067 3.0817 2.5139 3.0704 2.4762 3.0797 2.5004 3.0713 2.5170 3.0631 2.4925 3.0866 2.4876 3.0763 2.4933 3.1299 2.4806 3.0846 2.4907 3.0917 2.5017 3.0877 2.4950 2.9593 2.4973 3.0966 2.5252 2.9800 2.4978 3.0934 2.5073 3.1340 2.4658 2.4529 2.5085 Here are the null and alternate hypotheses for your means Z-test: H0 : mu

Explanation / Answer

1 Sample

Sample Size

35

Sample Mean

3.0748

Sample Standard Deviation

0.0391

2 Sample

Sample Size

37

Sample Mean

2.4991

Sample Standard Deviation

0.0165

Standard Error

0.0071

Difference in Sample Means

0.5757

Test Statistic

80.5950

Z=80.595

P=0.0000

Since calculated P=0.0000 < 0.05 level, here is significant difference between average weight of the two sets of pennies.

1 Sample

Sample Size

35

Sample Mean

3.0748

Sample Standard Deviation

0.0391

2 Sample

Sample Size

37

Sample Mean

2.4991

Sample Standard Deviation

0.0165

Standard Error

0.0071

Difference in Sample Means

0.5757

Test Statistic

80.5950

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