Question3 (a The sugar content (in grams) for Brand X coffee mix was recorded on a random sample of 10 packets. The data obtained were: 2.1, 2.0, 2.4, 2.0, 2.4, 2.3, 2.4, 2.2, 2.4, 2.5, Calculate a 99% confidence interval for the mean sugar content. (7 marks) (b) Brand Y is another brand of coffee mix with the same packet size as Brand X. The sugar content (in grams) for Brand Y coffee mix was recorded on a random sample of 8 packets. The sample mean and sample standard deviation for this sample was 2.5 and 0.2 respectively. Assume that the variances of sugar content for both brands are unknown but equal, test whether there is evidence of a significant difference between the two brands in the mean sugar content. Use 5% level of significance. (10 marks)