1. The brand of light bulb you use at home has an average life of 900 hours. A manufacturer claims that its new brand of bulbs, which cost the same as the brand you are using, has an average life of more than 900 hours. Suppose that 64 bulbs were tested Based on the fact that 36 out of the 64 bulbs bad life of more than 900 hours, will you purchase the new brand? Your friend (a STAT major) told you that your method of decision making above is not efficient, especially that you know the mean lifetime of the bulbs tested was 920 hours with a standard deviation of 80 hours. What is your opinion?Justify State clearly your null and alternative hypotheses il