Atest of breaking strengths of 6 ropes manufactured by a company showed a (sample) mean breaking strength of 7750 lbs and a (sample) standard deviation of 145 lbs, whereas the manufacturer claimed a true mean breaking strength of 8000 lbs. you think that the manufacturer is wrong and that the true mean is not 8000 lbs, but you are agnostic as to whether it is larger or smaller. can we support the manufacturer’s claim at a level of significance equal to 0.05? (be sure to write down your null and alternative hypothesis. if you do not, you will lose many points