Name Statistics Date 7.1 Worksheet B In problems 1145, determine if the statement is true or false. 11. In a normal distribution, 2.5% of the area under the curve lies above two standard deviations from the mean. 12. In a standard normal distribution, the mean u = 1 13. In a normal distribution, 68% of the data lies within 2 standard deviations of the mean. 14. In a normal distribution, the area under the curve is equal to 1. 15. In a normal distribution, 5% of the data lies outside two standard deviations of the mean. In problems 16-20, suppose that the height of all students in the school is normally distributed with an average height of 68 Inches, and a standard deviation of 4.4 Inches. Use the empirical rule to answer each question. 16. What percentage of students are between 63.6 inches and 72.4 inches in height? 17. What percentage of students are between 68 inches and 81.2 inches in height? 18. Suppose that there are 1,200 students in the school. How many students are between 59.2 and 76.8 inches tall? 19. Suppose that there are 1,200 students in the school. How many of them are at least 68 inches tall? 20. Suppose that there are 1,200 students in the school. How many of them are shorter than 63.6 inches and taller than 72.4 inches