Question c) Construct a 99% confidence interval for the population mean of the calcium levels before burning took place.

bush encroachment. An MSc student is interested in investigating the effects of burning on soil calcium levels. Soils samples were taken from 1 1 plots of equal area prior to burn in late April 2022. In September 2022, calcium levels were measured from the same plots. The values of calcium levels before and after burning are shown in the table below Table: Calcium levels before and after burning Plot 2 3 4 5 6 8 9 10 11 Before burning 50 45 81 63 83 77 73 23 44 36 54 After burning 29 31 58 4 60 33 49 11 17 10 12 (a) Was there a significant reduction in the amounts of calcium due to the burning? Use 5% level of significance. (10) (b) With reference to the hypothesis testing above, under what circumstances would one have made: (i) A type I error? (2) (ii) A type II error? (2) (c) Construct a 99% confidence interval for the population mean of the calcium levels before burning took place (4)