Answer with explanation

Dr. Coop's old machine for producing red beads has been around for a long time, and it has produced beads with an average diameter of 10.00 mm and a standard deviation of 0.20 mm. If Dr. Coop wanted to conduct a two-sided test to detect and expected difference in mean diameter of about 0.15 mm, with a Type 1 Error probability of 0.05 and a Type 2 error probability of 0.25, what is the minimum size sample he should take?