The operations manager at a light bulb factory wants to determine whether there is any difference in the average life expectancy of bulbs

Please give reasoning. Any help is appreciated. ..........................

The operations manager at a light bulb factory wants to determine whether there is any difference in the average lifeexpectancy of bulbs manufactured on two different types of machines. A random sample of 53 light bulbs obtained frommachine [indicates a sample mean of 386.012 hours and a sample of 50 from machine II indicates a sample mean of 422.641hours. The sample standard deviation of machine I is 63.59] hours and machine 11 is 99.1?1 hours. She creates a 90% confidence interval for the true difference in bulb lifetime to be [-63.?22, 43.536). of those listed below, what is the bestinterpretation of this interval? 0 1) We are 90% confident that the differnce between the average lifetime of all bulbs made by machine I and machine IIis between 463322 and -9.536 2) We do not know the population means so we do not have enough information to make an interpretation.3) We are 90% sure that the average difference in bulb lifetime of incandescent lightbulbs and LED lightbulbs is between453322 and —9.536. O O O 4) We are 99% confident that of the lightbulbs sampled, the difference in average lifetimes of bulbs made by machine Iand machine II Is between 453322 and —9.536. O 5) We are certain that the average difference in bulb lifetime of all bulbs made by machine I and machine II is between453322 and —9.536