A manufacturer considers his production process to be working properly if the mean length of the rods the manufactures is 8.5". The standard deviation of the rods always runs about 0.26". Suppose a sample of 64 rods is taken and this gives a mean length of rods equal to 8.6". What are the null and alternative hypotheses for this problem? Can you infer at 5% level of significance that the process is

working properly? 10marks