3.27 Explaining confidence. A student reads that we are 95% confident that the average score of eighth-grade girls on the writing part of the 2011 National Assessment of Educational Progress is 163.8 to 165.2. Asked to explain the meaning of this statement, the student says, “95% of all eighth-grade girls have writing scores between 163.8 and 165.2.” Is the student right? Explain your answer.