Consider the data in the table below, which records the silver content (percent
ID: 3126075 • Letter: C
Question
Consider the data in the table below, which records the silver content (percent Ag) of 24 coins discovered in Cyprus. The coins were grouped into three classes, corresponding to three different coinages during the reign of King Manuel I Comnenus (1143-1180). Archeologists were interested in whether there were significant differences in the silver content of coins minted at different age-periods in King Manuel’s reign.
3. Consider the data in the table below, which records the silver content (percent Ag) of 24 coins discovered in Cyprus. The coins were grouped into three classes, corresponding to three different coinages during the reign of King ManuelI Comnenus (1143-1180). Archeologists were interested in whether there were significant differences in the silver content of coins minted at different age-periods in King Manuel's reign. Coinage 5.9 6.8 6.4 7.0 6.6 7.7 7.2 6.9 6.2 6.9 9.0 6.6 5.3 5.6 5.5 9.3 9.2 8.0 6.2 5.8 5.8 4.6 a. Use your calculator to perform analysis of the above data. Make sure you submit the complete write-up SAS output. You do not have to repeat the write-up Use calculator to perform aposteriori analysis if relevant. b. Repeat calculations by SAS. Here, provide only the SAS code and the c.Explanation / Answer
Sol)
H0: All the groups are equal
H1: Atleast one group is not samee
levl:5%
Test statistic:
We use one way ANOVA
From Excel
Conclusion:
F cal=24.97 and P value=0.0000028
p< alpha we reject the null hypothesis
Anova: Single Factor SUMMARY Groups Count Sum Average Variance I 9 60.7 6.744444 0.295278 II 7 57.1 8.157143 1.189524 III 8 43.9 5.4875 0.24125 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 26.60813 2 13.30407 24.97163 2.81E-06 3.4668 Within Groups 11.18812 21 0.532767 Total 37.79625 23