please give full answer

5.1 Formulated for the demands of professionals, Diamond Vogel Architectural Coatings offers a full range of architectural and heavy-duty protective coatings that are right for your project. Suppose that a paint supply general dealer wanted to estimate the correct amount of paint contained in five-litre cans purchased from Diamond Vogel Architectural Coatings. A random sample of 29 cans is selected, and the average amount of paint per five-litre can is 4.974 &. It is known from the manufacturer's specifications that the sample standard deviation of the amount of paint is equal to 0.07 {. Assume a normal distribution of fill. 5.1.1 Set up a 98% confidence interval estimate of the true population average amount of paint included in a five-litre can