The lifetime of a certain type of battery is normally distributed with a mean of 48 hours and a standard deviation of 4.5 hours.
Find the probability of a battery lasting longer than 55 hours.
Write down a null and alternative hypothesis for a two-tailed test.
A technician takes a sample of 20 batteries and finds a mean lifetime of 51 hours. Test at the 2% significance level whether there is evidence that the mean lifetime has changed.
