I need an explanation and answer for part d, please don't submit other parts

A soda drink bottling company is interested in winning a contract with a popular drink brand. To win the contract the company must show that it is capable of meeting 60 quality. The contract is for the production of 355mL cans, for which a tolerance of 0.5mL is specified. The company believes the facility is in statistical control and has calculated a global value of R = 0.15mL and = 355.025mL for its production system. The com- pany ran a capability test by obtaining 10 samples (each of 8 elements) on which capability calculations will be performed. The data obtained is in the following table: Sample R X Sample R I A 0.18319 354.98938 F B 0.15714 355.02304 0.15361 355.01149 G 0.19205 355.06814 0.14892 355.00997 0.16240 355.05145 0.19912 355.01490 C H D I 0.19179 355.00207 E 0.18389 355.04694 J 0.11900 355.02327 The parameters A2, D3 and D4 for various n are shown in the following table. n A D D3 n A D D3 2 1.880 3.268 0 7 3 1.023 2.574 0 8 4 0.729 2.282 0 9 5 0.577 2.115 0 6 0.483 2.004 0 0.419 1.924 0.076 0.373 1.864 0.136 0.337 1.816 0.184 10 0.308 1.777 0.223 (d) The company is proud of its production facility and wants to promote itself to other drink brands. To do this it believes that it can claim that it is capable of producing a tolerance of 0.25mL with 60 quality. Given a tested o = 0.05776mL, calculate the tightest tolerance that will still provide 60 quality to check if the claim can be made by the company