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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 4Jan. - Apr. 2021 Final Examination BBI IA Statistics and Itx Applications (c) A company is considering an organizational change involving the use of self- managed work teams. To assess the attitudes of employees of the company toward this change, a sample of 400 employees is selected and asked whether they favor the institution of self-managed work teams in the organization. Three responses are permitted: favor, neutral, or oppose. The results of the survey, cross-classified by type of job and attitude toward self-managed work teams, are summarized as follows: Type of Job Self-Managed Work Teams Favor Neutral Oppose Total Hourly worker 10 46 71 225 Supervise 18 12 30 60 Middle management 35 14 27 75 Upper management 24 7 40 Total 185 79 136 400 At the 0.05 level of significance, is there evidence of a relationship between attitude toward self-managed work teams and type of job? [Note: the Chi-square test statistic value is 11.895]. (8 marks) [Total : 25 Marks] END OF QUESTION PAPER Page 4 of 4