Percent 8 8 8 Frequency (b) An experiment was conducted to record the time taken (in...
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Percent 8 8 8 Frequency (b) An experiment was conducted to record the time taken (in seconds) for a material to dissolve in each of 4 different solvents. The results are shown below. (0) Solvents (11) () Normal Probability Plot Residual 513 15 05 OF Residual ABCO D Histogram By studying the residual plots below, which of the assumptions stated in (a) is verified and why? (4 marks) Residual Plots for A, B, C, D Time to dissolve (seconds) 05 1.0 13 3.4 3.3 4.6 3.1 4.4 3.1 4.4 4.5 6.2 5.1 4.5 4.9 3.600 0.678 0.668 4.100 5.175 0.727 6.4 5.5 3.5 3.3 4.675 1.520 Standard Mean Deviation Residual 14 Versus Fits 45 Fitted Value 50 (Continued Overleaf) At the 5% level of significance, test the claim that there is no difference in the time taken to dissolve the material between the different solvents. (11 marks) Construct confidence intervals to compare mean times to dissolve the material for the different solvents Percent 8 8 8 Frequency (b) An experiment was conducted to record the time taken (in seconds) for a material to dissolve in each of 4 different solvents. The results are shown below. (0) Solvents (11) () Normal Probability Plot Residual 513 15 05 OF Residual ABCO D Histogram By studying the residual plots below, which of the assumptions stated in (a) is verified and why? (4 marks) Residual Plots for A, B, C, D Time to dissolve (seconds) 05 1.0 13 3.4 3.3 4.6 3.1 4.4 3.1 4.4 4.5 6.2 5.1 4.5 4.9 3.600 0.678 0.668 4.100 5.175 0.727 6.4 5.5 3.5 3.3 4.675 1.520 Standard Mean Deviation Residual 14 Versus Fits 45 Fitted Value 50 (Continued Overleaf) At the 5% level of significance, test the claim that there is no difference in the time taken to dissolve the material between the different solvents. (11 marks) Construct confidence intervals to compare mean times to dissolve the material for the different solvents
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bl Answer The assumption of normality and the homoscedasticity constant varlance of the residuals ar... View the full answer
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