Production of good and healthy concrete requires clean and proper water at a site. A concrete production plant uses multiple wells for water which are distant to each other. However, one of the well, due to its location, may sometimes have high chloride concentration. It depends on the pumping amount from the well as well as environmental conditions (such as rain etc.). Some samples are taken through the year and the pumping of the well of the sampling day is recorded. The chief engineer of the concrete plant wants to get a meaningful result from the data. The following data are chloride concentration y (in milligrams per liter) and pumping rate of well in sampling day x (in m3/hr). x y 0.19 0.57 4.4 9.7 0.70 10.6 0.67 0.47 0.70 0.69 10.8 11.8 12.1 a) Find mean and variance of the x and y b) Find the 95% CI for mean of x c) Find Covariance and Correlation Coefficient 19.2 1.06 0.78 0.81 0.78 14.7 15.0 17.3 27.7

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Production of good and healthy concrete requires clean and proper water at a site. A concrete
production plant uses multiple wells for water which are distant to each other. However, one of the
well, due to its location, may sometimes have high chloride concentration. It depends on the
pumping amount from the well as well as environmental conditions (such as rain etc.). Some
samples are taken through the year and the pumping of the well of the sampling day is recorded.
The chief engineer of the concrete plant wants to get a meaningful result from the data. The
following data are chloride concentration y (in milligrams per liter) and pumping rate of well in
sampling day x (in m3/hr).
X
y
0.19
4.4
0.57
9.7
0.70
10.6
0.67 0.47 0.70 0.69
10.8 11.8 12.1
a) Find mean and variance of the x and y
b) Find the 95% CI for mean of x
c) Find Covariance and Correlation Coefficient
19.2
1.06
27.7
0.78 0.81
14.7 15.0
0.78
17.3
Transcribed Image Text:Production of good and healthy concrete requires clean and proper water at a site. A concrete production plant uses multiple wells for water which are distant to each other. However, one of the well, due to its location, may sometimes have high chloride concentration. It depends on the pumping amount from the well as well as environmental conditions (such as rain etc.). Some samples are taken through the year and the pumping of the well of the sampling day is recorded. The chief engineer of the concrete plant wants to get a meaningful result from the data. The following data are chloride concentration y (in milligrams per liter) and pumping rate of well in sampling day x (in m3/hr). X y 0.19 4.4 0.57 9.7 0.70 10.6 0.67 0.47 0.70 0.69 10.8 11.8 12.1 a) Find mean and variance of the x and y b) Find the 95% CI for mean of x c) Find Covariance and Correlation Coefficient 19.2 1.06 27.7 0.78 0.81 14.7 15.0 0.78 17.3
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