Hello, it would not allow me to copy the text so I have attached the question below

5. A company which markets fruit juice is trying to demonstrate that its product provides enough vitamin C to meet the RDA (recommended daily allowance) for an adult of 60mg. They took a sample of 36 bottles, and found that the mean amount of vitamin C was 63mg. The standard deviation of their production process is known to be 10mg. (a) Conduct a hypothesis test to see if there is sufficient evidence at the 5% level to show a bottle contains more than the RDA of vitamin C. [11 marks] (b) Suppose the company didn't know what the standard deviation of the production process was. How would that change the way you conduct a hypothesis test? [4 marks] (c) What is Type 1 and Type 2 error in this test? If you were asked to choose a significance level of 1%, 5% or 10%, which would you pick and why? [5 marks]