The average weight of sugar in a medium-size bag is stated to be less than 10 kilograms. The amount of sugar that the packing machine puts in these bags is believed to follow a Normal Distribution with standard deviation 0.65 kilograms. A random sample of 25 bags is taken and the mean weight for the bags is 9.7 kilograms. a. Identify the parameter of interest. [2 marks] b. Set up the null hypothesis and the alternative hypothesis. [2 marks] c. Calculate the test statistic. [2 marks] d. Find the corresponding p-value. [2 mark] e. Draw an appropriate conclusion. Use 0.05. [2 marks] 2. One leading company has developed what it hopes will be a home expresso machine that will have easier instructions. The goal is to have more than 92% of customers succeed at being able to make the perfect expresso. The company tests the new system on 200 people, 188 of whom were successful. a) Identify the parameter of interest. [2 marks] b) Set up the null hypothesis and the alternative hypothesis. [2 marks] c) Calculate the test statistic. [2 marks] d) Find the corresponding p-value. [2 mark] Note: Make sure you check some conditions. e) Draw an appropriate conclusion. Use = 0.10