Q1) Manager at a light bulb factory wishes to find out whether there is any difference in mean life expectancy of bulbs manufactured on two different kinds of machines. Population standard deviation of machine I is 100 hours and of machine II is 115 hours. Random sample of 30 light bulbs from machine I points out a sample mean of 375 hours, and similar sample of 30 from machine II points to sample mean of 362 hours. At 5% level of significance, is there evidence of difference in mean life of bulbs made by the 2 kinds of machines. What is your conclusion?