Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts lumber to a mean length of 9 feet (108 inches) with a standard deviation of 0.4 inch. Assume the lengths are normally distributed. You randomly select 38 boards and find that the mean length is 108.09 inches. Assuming theseller's claim iscorrect, what is the probability that the mean of the sample is108.09 inches ormore?