In: Statistics and Probability
Acme Products, a manufacturer of low-priced hair care products (as well as frozen dinners and large screen TVs), claims that its hair spray lasts as long as the industry leader’s higher priced product. You take a sample of 60 applications of Acme’s hair spray and 60 applications of the leading hair spray. Results: On average, the Acme applications lasted for 12.7 hours with a standard deviation of 1.4 hours while the leading hairspray lasted 11.8 hours with a standard deviation of 1.8 hours. Use a 5% significance level. Assume that the standard deviations are KNOWN TO BE POPULATION STANDARD DEVIATIONS.