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.
