In: Statistics and Probability
Suppose that you want to decide which of two equally-priced brands of light bulbs lasts longer. You choose a random sample of 100 bulbs of each brand and find that brand A has a sample mean of 1180 hours and a sample standard deviation of 120 hours, and that brand B has a sample mean of 1160 hours and sample standard deviation of 40 hours. What decision should you make at a 5% significance level?