Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 155 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with μ = 140 mg/dl and a 12 mg/dl. Suppose Sheila repeats this process on three separate randomly selected days.
What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Use 2 decimal places.
