question 1

1. A particular brand of margarine was analysed to determine the level of fatty acid (in percentage). The company claims that the population mean of the fatty acid level of its margerine is 17. The resulting data for a sample of margarine's packages is given in the following table. 16.8 17.2 17.6 16.5 17.3 16.1 16.7 (i) Construct a 98% confidence interval for the population mean of the fatty acid level of its margerine. (7 Marks, CO2/PO3) (ii) Give a comment on the parameter estimate. (1 Mark, CO2/PO3) (iii) Identify the estimation error of this confidence interval. (1 Mark, CO2/PO3) (iv) The company wishes to have a wider confidence interval for the population mean of the fatty acid level of its margerine. What value should be changed? Give a reason. (2 Marks, CO2/PO3)