Exercise 2 (42 marks = 4 + 12 + 16 + 10) On a given Saturday evening, a local newspaper randomly selects 20 patrons from each of two restaurants and asks them to rate the quality of their meal as 5 (excellent), 4 (good), 3 (average), 2 (poor), or 1 (unsatisfactory). The following results are obtained: Restaurant 1 Restaurant 2Suppose that we wish to know whether these data provide sufficient evidence to conclude that patrons rate the Saturday evening meal higher in Restaurant 1 than in Restaurant 2. (a) (4 marks) What is the variable of interest? Is it qualitative or quantitative? If it is qualitative, is it ranked or unranked? If it is quantitative, is it discrete or continuous? What is its level of measurement? Explain your answers. (b) (12 marks) Given your answers in part (a), which test(s) do you think the researcher should perform? Explain your choice by discussing the required conditions. Are these conditions likely satisfied this time? Provide as many supporting evidence as possible. (c) (16 marks) Perform the test you think is the best this time at the 1% significance level. Do the calculations 'manually'. Briefly discuss the steps of this test showing all relevant details. (d) (10 marks) Repeat the test you performed in part (c) with R/RStudio. Do you get the same results as in part (c)