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5. (13 marks) The Fryin Fish food truck specialises in sh and chips. They have one main location and recently a second location has been proposed. They are interested in determining whether this second location is worthwhile and so decide to run an experiment where for 10 randomly selected days over a one-month period one of each of the owners goes and sells at each location (for example owner 1 sells at location A and owner 2 sells at location B on day 1) and records the daily food sales in dollars. The results are given in the table. Current Pro . used m l. \" a) (2) Enter the data into R and solve for the ve-number summary for the data collected from Location B. (Your answer should include your R code and output.) b) (4) Use R to create side-byside boxplots for the data (ie a boxplot for each Location plotted on the same axis). Describe the shape of the boxplots, indicate whether any outliers are detected and describe whether the boxplots suggest a difference in sales between the locations. (Your answer should include your R code and output.) c) (2) Is a paired design appropriate for the above experiment? Explain. d) (4) Use R to test that there is no difference between the locations using a 10% level of significance. Clearly state your hypothesis using the mathematical notation introduced in the course. Include a clear conclusion statement, i.e. in addition to your R code and R output your solution should include step 1 and step 4 of our hypothesis test procedures. (The p-value should be used to make your conclusion) e) (3) Use R to construct a 90% confidence interval for the true mean difference between Location A and Location B. Interpret your confidence interval. Based on your interval which location appears to have higher average sales of daily food? Explain. (Your answer should include your R code and output.)