A call centre claims that the amount of time a worker spends on each phone call can be modelled by a normal distribution with a mean of 10 minutes and a standard deviation of 2 minutes.
Using this model, find the probability that the time the worker spends on a randomly selected phone call is more than 12 minutes.
The call centre manager thinks that the mean time for each phone call is more than 10 minutes. The manager takes a random sample of 25 phone calls and finds that the average time is 10.8 minutes. Test the manager's belief at the 5% significance level. You should state your hypotheses clearly.
591 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.