​Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean ln​ (plasma-glucose) concentration(mg/dL) in​ 35- to​ 44-year-olds is 4.86 with standard deviation​ = 0.54. A study of sedentary people is planned to test whether they have a​ different, i.e., a​ two-tailed test, level of​ plasma-glucose than the general population. The study will test significance at the 0.05 level. One study indicated that that the mean for the sedentary group will be about 4.96​ mg/dL. How many sedentary people are needed in the study to achieve​ 80% power?