Below is some information regarding variables obtained from a survey of over 800 banking customers across New Zealand. Variable Type Satisfaction The customer's overall satisfaction with their main bank (on a scale from 0 - 10) Closeness The customer's perceived closeness of the relationship with their personal banker (on a scale from 0 - 10) Bank The customer's main bank: ANZ, ASB, BNZ, Kiwibank, Westpac, Other OnlyBank The customer's main bank is their only bank: Yes, No Sex The customer's sex: Male, Female Product The main banking product used by the customer: online account, current account, savings account, investment, loan Income The customer's personal yearly income (in thousands of dollars) Performance The customer's rating of the overall level of performance for their main bank (on a scale from 0 - 10) Advice The customer's rating of availability of financial advice from their main bank (on a scale from 0 - 10) (a) For each of the scenarios 1 to 4 below: [ 4 marks - 1 mark for each scenario ] (i) Write down the name of the variable(s), given in the table above, needed to examine the question. (ii) For each variable in (i) write down its type (numeric or categorical). (b) What tool(s) should you use to begin to investigate the scenarios 1 to 4 below? Write down the scenario number 1 to 4 followed by the appropriate tool. Hint: Refer to the blue notes in Chapter 1 in the Lecture Workbook. [ 4 marks - 1 mark for each scenario ] (c) Given that the underlying assumptions are satisfied, which form of analysis below should be used in the investigation of each of the scenarios 1 to 4 below? Write down the scenario number 1 to 4 followed by the appropriate Code A to F. [ 4 marks - 1 mark for each scenario ] Scenario 1 Is there a difference between the proportion of female customers with only one bank and the proportion of male customers with only one bank? Scenario 2 Is a customer's overall satisfaction with their main bank related to their main bank? Scenario 3 Does a customer's rating of overall performance of their main bank differ from their rating of perceived closeness of the relationship with their personal banker? Scenario 4 Is there is a difference between a female customer's rating of availability of financial advice from their main bank and a male customer's rating of availability of financial advice from their main bank.Code Form of analysis A One sample t-test on a mean B One sample t-test on a proportion C One sample t-test on a mean of differences D Two sample t-test on a difference between two means E t-test on a difference between two proportions F One-way analysis of variance F-test