Item 1 (30 points)
The control process consists of sub-groups of three random samples. The accompanying table (and data file) gives 25 groups of samples. Create appropriate charts and discuss whether the process is out of control.
Item 2 (70 points)
A new material’s rupture strength (Y) is tested and compared against its compressive strength (X). The desire is to need only test for the compressive strength and be able to infer other properties. The data is available in the accompanying spreadsheet.
TASKS (30, 30, and 10 points, respectively)
Test the hypothesis for the slope being equal to zero, i.e., that Ho: b1 = 0, and H1: b1 ≠ 0 using a = 0.05. Find the P-value for this test. Create and interpret appropriate plots of the residuals: residuals versus the predicted y, residuals versus the independent x, and a normal probability of the standardized residual. In your interpretation, be sure to discuss what it is that you are looking for and why that matters.
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