A recent national survey found that parents read an average (average) of 10 books per month to their children under the age of 5. The population standard deviation is 5. The distribution of books read per month follows a normal distribution. A random sample of 25 households reveals that the average number of books read last month was 12. At a significance level of 0.01, can we conclude that parents read more books than the average number to their children? What is the probability of Type II error?