A machine is designed to fill toothepaste tubes with 6 oz. of toothpaste. In order to determine if the machine is under-filling toothpaste tubes, a test of H0:u=6 vs. HA:u<6 is conducted at the .01 level of significance using a random sample of 81 tubes of toothpaste. Assume the population standard deviation is 1 oz. If the true average fill amount is 5.8 ounces, what is the probability that the test will commit a Type II error?