Compressive strength is a widely accepted measure to access the performance of a given concrete mixture. Considering this aspect of concrete is important because it is the primary measure determining how well concrete can withstand loads that affect its size. It accurately tells us whether a particular mix is suitable to meet the requirements of a specific project. Compression strength gives an overall indication of quality of concrete as it is directly related to the lifelong performance of the concrete structure. The strength of the concrete shows the ability of the structure to withstand various loads (i.e. Dead Load, Live Load, Earthquake Load, Wind Load, etc..). To perform the following analyses, you are required to install BSDA package in your R: install.packages ("BSDA") The variables provided in "concrete.csv" elaborated as follows: concrete compressive strength Cement composition Blast Furnace slag Fly Ash Water (a) Strength; cement; slag; ash; water; QUESTION 1 (20 marks) (b) superplastic; coarseagg; fineagg; age Superplasticizer Coarse Aggregate Fine Aggregate Age of concrete According to the standard from International Building Code (IBC) and ACI 318 the mean concrete compressive strength must be a minimum 28 MPa for structural concrete. Based on the data presented in "concrete.csv": (ii) Test the hypothesis at 5% level of significance. (8 marks) Suppose that the standard deviation is 15, test the hypothesis at 1% level of significance. (6 marks) The strength of the concrete is highly dependent on the hydration reaction between the water and cement. For the reinforced concrete, the cement content cannot be more than 360 kg/m. For the sample data collected, test the hypothesis at 5% level of significance. (6 marks)