Engineers at the American Lighting Company recently developed anew three-way light bulb that they say is more energy efficientthan the company’s existing three-way light bulb. The also claimthat the bulb will outlast the current bulb, which has an averagelifetime of 700 hours. The standard deviation (?) for the lifetimeof bulbs is 75 hours. The American Lighting Company has decidedthat before it begins full scale production on the new light bulbsit should take a sample of 225 bulbs and determine whether the meanlife of the new bulb exceeds the old bulb’s 700 hours. The sampleof 225 bulbs gave a sample mean of 704 hours. Assuming asignificance level of .05 perform all hypothesis testing steps.Does the sample support the claim that the average lifetime of thenew bulb is longer?
