The height of sunflower seedlings in a nursery is normally distributed with a mean of 15.5 cm and a standard deviation of 1.2 cm.
Find the probability that a randomly selected seedling has a height of less than 13.0 cm.
Write down the null and alternative hypotheses to test if the mean seedling height is lower than 15.5 cm.
A sample of 25 seedlings is measured and the mean height is found to be 15.0 cm. Carry out a test at the 2.5% significance level to see if there is evidence that the mean height of the seedlings is less than 15.5 cm.
