The viscosity of a specific liquid polymer, VVV, is known to be normally distributed with a mean of 1420 mPa·s and a standard deviation of 115 mPa·s. A quality control engineer takes a random sample of 24 independent batches to monitor the stability of the production line. Determine the probability that the mean viscosity of this sample, Vˉ\bar{V}Vˉ, is less than 1385 mPa·s.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.