1a) Atlantic Salmon farming is an important industry in Tasmania. Fish are grown to market size in a series of large, circular, netted enclosures in areas such as the Huon River, Port Esperance, the D'Entrecasteaux Channel and around the Tasman Peninsula. When salmon are harvested to send to market they need to weigh 3.5 4 kg, so the farmer is aiming to have an average weight of 3.75 kg. We will assume that all salmon are placed in their final growing enclosure at the same time and spend 12 months there, and that the standard deviation of their weights after that time is 380 g. A farmer wishes to check whether the average weight of salmon in the enclosure falls in the required range. He weighs a sample of 50 salmon being sent to market and finds their average weight is 3,607 g. Construct a 95% confidence interval estimate for the population mean salmon weight. 1b) Construct a 99% confidence interval for the population mean salmon weight. A manufacturer of women's tracksuits needs to estimate the average height of female basketball players in the 18 25 age group. The measurements of a sample of 30 women are taken and their heights recorded in millimetres. Table below lists these values. Construct a 95% confidence interval estimate for the population mean height of women basketball players in this age group. The sample mean is X = 1,723.4 mm and the sample standard deviation is S = 89.55 mm