wny at most 5 se same example for part b). 2. [9 marks] Suppose you are a member of a board of directors of a large company. The company executive team has presented you with a report that indicates customer satisfaction is higher than last year. To support their claim, the report states that the average customer satisfaction rating this year is 82%, with a standard deviation of 8%, compared to last year's 75%. Customer satisfaction was measured based on optional feedback surveys from customers who bought a product within the last year. For the purposes of this question, keep all percentages as whole numbers (e.g., write down 82 when you mean 82%). a) [2 marks] State a potential issue with using feedback surveys as a measure of customer satisfaction and explain why it's an issue. Use no more than 4 sentences. Hint: this relates back to Module 1 content. b) [1 mark] Suppose you obtain a random sample of the company's customers from this year. To determine the size of this random sample, do the following. Open a new Excel worksheet, and type the last four digits of your student number in a blank cell. If those numbers have a leading 0 (i.e., if there is a 0 in the first position of that number), then replace the 0 with a 1. Two examples are provided below to help. Example 1: Suppose the last four digits of your student number are: 0123. That has a leading 0 X English (Canada) Accessibility: Good to go 3 Focus Example 2: Suppose the last four digits of your student number are: 1234. That does not have a leading 0, so use 1234. State your student number and your sample size in the blanks below. Do not show your work. Do not submit any Excel content. Student number: Sample size: c) [1 mark] Using your answer from part b), state the sampling distribution of the sample mean. Assume the population parameters are as given in the problem statement (that means look at the paragraph provided for question 2, above part a), to find the population parameters you need). Round the standard error to 4 decimal places. d) [5 marks] Using the sampling distribution of the sample mean as found in part c), what is the probability that you obtain a sample mean within 0.1% of the population mean? Note that means you will be using the rounded value of the standard error for this question. Hint: First, figure out what "within 0.1% of the population mean" means (see the Common Question after this hint for help with that part). Then state the probability using proper notation (i.e., P(something)), then use a trick, then standardize/normalize, then use Table A4. Remember to round the z-scores to two decimal places, and each calculated probability to four decimal places. Common Question: Suppose my population mean were, say, 1234. By "within 0.1% of the population mean", do you mean "from 1234 - (1234*0.1%) = 1232.766 to 1234 + (1234*0.1%) =1235.234? Do I have to round these in any way? Answer: Yes, that's what I mean! Please round to 4 decimal places if necessary. Above, there