5) A previous analysis of paper boxes showed that the standard deviation of their lengths is 15 15) millimeters. A packer wishes to find the 95% confidence interval for the average length of a box. How many boxes does he need to measure to be accurate within 1 millimeters? A) 865 B) 1222 C) 225 D) 613For the given hypothesis test, explain the meaning of a Type I error, a Type II error, or a correct decision as specified. 3) In 2000, the mean math SAT score for students at one school was 481. Five years later, in 2005, a 3) teacher performed a hypothesis test to determine whether the average math SAT score of students at the school had changed from the 2000 mean of 481. The hypotheses were: Ho : H= 481 H, : H = 481 where u is the mean math SAT score, in 2005, for students at the school Explain the meaning of a Type I error. A) A Type I error would occur if, in fact, u = 481, but the results of the sampling do not lead to rejection of that fact B) A Type I error would occur if, in fact, u = 481, but the results of the sampling fail to lead to that conclusion. C) A Type I error would occur if, in fact, u =481, and the results of the sampling lead to that conclusion. D) A Type I error would occur if, in fact, u = 481, but the results of the sampling lead to the conclusion that u = 481