The masses, in grams, of apples from a certain farm have mean $$\(\mu\)$$ and standard deviation 5.2. The farmer says that the value of $$\(\mu\)$$ is 64.6. A quality control inspector claims that the value of $$\(\mu\)$$ is actually less than 64.6. In order to test his claim he chooses a random sample of 100 apples from the farm. Later another test of the same hypotheses at the $$\(2.5 \%\)$$ significance level, with another random sample of 100 apples from the same farm, is carried out. Given that the value of $$\(\mu\)$$ is in fact $$\(62.7\)$$, calculate the probability of a Type II error. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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