The mean lifetime of incandescent light bulbs is 1000 hours. A new type of light bulb has been made. A sample of 27 of these bulbs produced a mean lifetime of 1116 hours with a standard deviation of 200 hours. Conduct a hypothesis test at the 5% significance level to determine if the mean lifetime of the new light bulb is different than that of incandescent light bulbs. Make sure to give the hypotheses, test statistic, P-value, decision, and interpretation