QUESTION 5 Ten employees were selected at random. and the data on the number of customers per month were recorded before and after the selected employees attending the workshOp. The data were collected and analyzed using SPSS. The results as follow. Paired Samples Test Paired [Differences 95% Condence Interval oi Std. Std. Error the Dierenoe Assuming the number of customers is normally distributed. a) The manager decided to analyze the data using Paired Samples Test. Give a reason to support his decision to use this statistical analysis- (1 mark) b) Show the value of t-statistic using appropriate formula. (3 marks) 0) Can the insurance manager conclude that the workshop has increased the number of customers? Use a=0.10. (4 marks) QUESTION 4 The owner of rental houses claims that the average length of occupancy is 3.2 years. A random sample of 35 rental contracts were selected and analysed using SPSS. One-Sample Statistics N Mean Std. Deviation Std. Error Mean Len 35 3.446 1.0551 T a) Show that T Is 0.1783. (2 marks) b) Construct a 95% confidence interval for the average length of occupancy of properties owned by the owner. (3 marks) 0) Based on the confidence interval in b), is the owner's claim true? Give a reason to support your answer. (2 marks)