The principal of a large high school records the GPAs of a random sample of 12...

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The principal of a large high school records the GPAs of a random sample of 12 students in the Advanced Placement program. GPAs of students in the program are known to follow a normal distribution. From the data, the principal calculates a 90% confidence interval for to be (3.78, 4.14). The correct interpretation of the confidence interval is that, in the long run: 90% of all samples of 12 Advanced Placement students at the school will have mean GPAs that fall in this interval. 90% of students at the school with GPAs between 3.78 and 4.14 are in the Advanced Placement program. 90% of all Advanced Placement students at the school have GPAs in this interval. 90% of similarly constructed intervals would contain the mean GPA of all Advanced Placement students in the sample. 90% of similarly constructed intervals would contain the mean GPA of all Advanced Placement students at the school. The principal of a large high school records the GPAs of a random sample of 12 students in the Advanced Placement program. GPAs of students in the program are known to follow a normal distribution. From the data, the principal calculates a 90% confidence interval for to be (3.78, 4.14). The correct interpretation of the confidence interval is that, in the long run: 90% of all samples of 12 Advanced Placement students at the school will have mean GPAs that fall in this interval. 90% of students at the school with GPAs between 3.78 and 4.14 are in the Advanced Placement program. 90% of all Advanced Placement students at the school have GPAs in this interval. 90% of similarly constructed intervals would contain the mean GPA of all Advanced Placement students in the sample. 90% of similarly constructed intervals would contain the mean GPA of all Advanced Placement students at the school.