An axial load of an aluminum can is the maximum weight that the sides can support before collapsing. The axial load is an important measure, because the top lids are pressed onto the sides with pressures that vary between 158lb and 165lb. Pepsi experimented with thinner aluminum cans, and a random sample of 175 of the thinner cans has a mean axial load of 267.11lb. The standard cans have a mean axial load of 281.81 lb and a standard deviation of 27.77 lb. Use a 0.01 significance level to test the claim that the thinner cans have a mean axial load that is less than 281.81 lb. Assume that o=27.77 lb. Do the thinner cans appear to be strong enough so that they are not crushed when the top lids are pressed onto the sides?