Question #4 - 10 marks (a) Cole Pineapple Inc. was concerned that their 430 ml cans of sliced pineapple were being under-filled. To check whether there is enough evidence to conclude this is indeed the case, the quality control department took a random sample of 32 cans, and found the average volume was 429.3 ml. It was assumed the population standard deviation was 1.74 ml. (b) What is the parameter of interest in this situation? Write down the mathematical symbol for this parameter and express what it means in words. [2 marks] (c) State the null and alternative hypotheses for this situation using symbols and words. [2 marks] (d) Calculate the value of the test statistic for this situation and obtain the p-value for this significance test. Sketch a diagram to show how you obtained the p-value. [4 marks] (e) Based on your results in part (c) and level of significance = 0.05, state your conclusion. What would you tell the quality control department? [2 marks]