Ore Data: In a study to investigate the concentrations of copper in ore, the following data in the dataset ore.MTW was collected. It represents three independent locations, the average size per mining site and the Copper Concentration (kgs). If there is a higher Copper Concentration, then this physically translates to the site being older and richer in minerals.

(a) A mining company claims that for a site to be financially viable then the Cooper Concentration level at sites should be above 60. At the 5% level of significance, test whether the average copper concentration is above 60 kgs.

(b) Check the assumptions for ANOVA and test at the 5% significance level to determine whether there is a difference in Copper Concentration between the different regions. Include the post-hoc Tukey test to identify which pairs are different.

(c) By examining the patterns in the data, make a recommendation about which regions have higher Copper concentrations. Summarise the results of your analyses from parts (a) to (c)

(d) By using the table of counts in the ore dataset, conduct an appropriate hypothesis test to determine whether the Site Area is related to the Region at a 5% level of significance.

(e) What conclusions can be drawn from the residuals in the table? State all the significant residuals in the answer.

(minitab/data set for question)

Location Site Area (m2Copper Concentration Locations Site Area > 1 Site Area