1. The Folbert 100-watt light bulb is known to last an average of 3.0 years, with σ = 1 (year). A sample of five of Folbert’s new improved 100-watt bulbs resulted in lives of 1.3, 4.1, 7.8, 3.4, and 2.9 years. Test if the new variance is larger than the old variance with α = 0.05. Assume that the distribution of the life of all 100-watt bulbs is normal. Show your decision rule.