The sugar content of the syrup in canned peaches is normally distributed with mean 20 milligrams. A random sample of 10 cans yield standard deviation of 4.8 milligrams and mean of 15.5 milligrams.

i) Find the 95% confidence interval of the mean sugar content of syrup in canned peaches. Hence, interpret its value.

[5 Marks]

ii) Test the hypothesis that the mean of sugar content of syrup in canned peaches is not similar to 20 milligrams.

[7 Marks]