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in selecting a sulphur concrete Deadine: 05/ULTZOT6 In selecting a Sulphur concr

ID: 3158482 • Letter: I

Question

in selecting a sulphur concrete Deadine: 05/ULTZOT6 In selecting a Sulphur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete have a low value of thermal conductivity to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. Excel file names "Conductivity xls" summarizes data from an experiment carried out to compare the two types of concrete. 1. Construct two histograms for both data sets and discuss the shapes of histograms. 2. Calculate the following measures of positions for each data set and interpret them. Q1 Q2 Q3 IQR (The difference between Q3 and Q1) 90th percentile 3. Calculate mean and median for each data set 4. Calculate the variance and standard deviation for each data set. 5. Construct 95% confidence intervals for the true average conductivity for the graded concrete and interpret them. 6. Does this data suggest that the true average conductivity for the graded concrete exceeds that for the no-fines concrete? at =0.05? Note: Check the following link to create histograms or you can use any other software for this. http://www.shodos org/interactivate/activities/Histogran/

Explanation / Answer

(1)

histogram for graded data set

Histogram for No-fines dataset

(3) Mean ,meadian of the graded dataset

     Mean=19.449807/42

             =0.4630

    median= 0.438996(after assending order the middle value of the data set)

Mean ,meadian of the No- fines dataset

Mean=15169682/42

             =0.3611

    median= 0.365126(after assending order the middle value of the data set)

(4) Variance,Standarad deviation of the graded dataset

     Variance=0.039714

     Standarad deviation=0.199285

Variance,Standarad deviation of the No-fines dataset

     Variance=0.035847

     Standarad deviation=0.189332