A manufacturer of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 8 kilograms with a standard deviation of 0.5 kilogram. Test the hypothesis that / = 8 kilograms against the alternative hypothesis u # 8 kilograms if a random sample of 50 lines is tested and found to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance.Life topie and answer the following questions. A random sample of 100 recorded deaths in the Philippines during the past years showed an average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that the average life span today is greater than 70 years? Use a 0.05 level of significance. Solution:The average length of time for students to register for classes at a certain college has been 50 minutes. A new registration procedure using modern computing machines is being tried. If a random sample of 12 students had an average registration time of 42 minutes with a standard deviation of 1 1.9 minutes under the new system, test the hypothesis that the population mean is now less than 50 using 0.01 level of significance. Assume the population of times to be normal