The resistance of a specific type of resistor is normally distributed with a mean of 10.2 ohms and a standard deviation of 0.15 ohms.
Find the probability that a randomly selected resistor has a resistance of less than 10.0 ohms.
Write down the null and alternative hypotheses to test if the mean resistance is less than 10.2 ohms.
A sample of 10 resistors is measured and the mean resistance is found to be 10.1 ohms. Carry out a test at the 1% significance level to see if there is evidence that the mean resistance is less than 10.2 ohms.
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.