Calculate the mean, standard deviation and control limit in question 1.2

Read the extract below and answer ALL questions that follow 14 August 2019: Value of South Africa's manufacturing sales over the last year We take a look at the latest manufacturing production and sales numbers published by Statistics South Africa and focus on the value of sales over the last year. No Month Sales values Year on year growth Jun-18 R 191 557 184 000 6.11% 2 Jul-18 R 196 460 817 000 9.18% 3 Aug-18 R 196 356 816 000 7.64% Sep-18 R 201 095 627 000 10.74% 5 Oct-18 R 202 552 057 000 11.27% 6 Nov-18 R 201 153 730 000 4.89% 7 Dec-18 R 196 460 817 000 5.31% 8 Jan-19 R 201 519 371 000 9.17% 9 Feb-19 R 199 006 001 000 5.99% 10 Mar-19 R 201 339 607 000 7.30% 11 Apr-19 R 206 869 442 000 15.21% 12 May-19 R 200 463 705 000 3.92% 13 Jun-19 R 203 734 151 000 6.36% In June 2019 the manufacturing industry in South Africa sold goods to the value of R203.7 billion compared to South Africa's total imports of R 103 754 352 076. Thus the manufacturing to total imports ratio is currently sitting at (1.97). So basically for every R1 in goods manufactured locally, 50.7c is imported. Source: https://www.southafricanmi.com/south-africas-manufacturing-industry.html QUESTION 1 (85 Marks) Use Lean Six Sigma (DMAIC methodology) to improve the manufacturing production of the identified organisation. 1.1 Define the problem (3 marks) 1.2 Measure the impact of the problem using the control limits (26 marks) 1.3 Analyse the root cause using fishbone diagram (21 marks) 1.4 Improve the process of using impact effort metrics (11 marks) 1.5 Control: Maintain the positive results using (TPM) (24 marks)