A manufacturer of fresh milk uses machines to dispense liquid ingredients into milk bottles that move along a lling line. The machine that dispenses milk is working properly when the mean amount dispensed is 450ml. The population standard deviation of the amount dispensed is 5m]. A sample of 60 bottles is selected periodically, and the lling line is stopped if there is evidence that the mean amount dispensed is different from 450 ml. Suppose that the mean amount dispensed in a particular sample of 60 bottles is 449.7ml. Required: a Is there evidence that the population mean amount is different from 450ml? (Use a 0.05 level of signicance) (4 marks) b. Calculate the p value and interpret its meaning. (4 marks) c. What is your answer in (a) if the standard deviation is 0.8 ml? (4 marks) (1. What is your answer in (a) if the sample mean is 448.9 ml and the standard deviation is 4 ml? (4 marks)