Question No 3 13 + 31 a) A manufacturer of sports equipment has developed a new synthetic fishing line that the company claims has a mean breaking strength of 6.5 kilograms with a population standard deviation of 0.40 kilogram. Test the hypothesis that u = 6.5 kilograms against the alternative that N = 6.5 kilograms if a random sample of 25 lines is tested and found to have a mean breaking strength of 6.9 kilograms. Use a 0.01 level of significance. b) The Edison Electric Institute has published figures on the number of kilowatt hours used annually by various home appliances. It is claimed that a vacuum cleaner uses an average of = 25 kilowatt hours per year. If a random sample of 10 homes included in a planned study indicates that vacuum cleaners use an average of 22 kilowatt hours per year with a standard deviation of 5.5 kilowatt hours, does this suggest at the 0.05 level of significance that vacuum cleaners use, on average is less than 25 kilowatt hours annually