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Jan - Ape. 2021 Final Examination BAI 13 Statistics and Is Applications Question 4 (a) Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, Mean Source of Sum of Squares Degrees of Square Variation Freedom Among ? 7 80 7 Groups Within 560 Groups Total ? fill in all the missing results. (5 marks) At the 0.05 level of significance, state the decision rule and test the null hypothesis that all four groups have equal population mean. (4 marks) (b) A new computerized ultrasound scanning technique has enabled doctors to monitor the weights of unborn babies. The excel output is given in the table below: SUMMARY OUTPUT Statistics Adjusted & Square Standard Ertar ANDVA 152.7278 4.DO00 Total Lower 90.ON 4 410 Gentation Pertand 11 341 10 3345 (1) Find the regression equation for the data. (2 marks) (ii) Interpret the slope of the regression linc. (2 marks) (iii) Calculate the baby's expected weight at 42 weeks (assuming it hasn't been born by then). (2 marks) (iv) Interpret the meaning of the standard error of the estimate. (2 marks) Page 3 of 4