BBI MORRISON 99%. Statistics Lesson #6: Applications Involving The Normal Distribution 249 13. In a population with a standard deviation of 4.5 cm, 50 percent of the students are taller than 63 cm. If the data is normally distributed, determine, to the nearest centimetre, the height of a student if 10% of the population are taller than he is. A. 57 B. 61 C. 65 CAH TOA 01 cm e diameters ad a standard D. 69 14. The weights of a large shipment of coconuts are normally distributed with a standard deviation of 0.71 kg. The probability that a coconut weighs less than 2.1 kg is 10.2%. The mean of the shipment, to the nearest hundredth of a kg, is (Record your answer in the numerical response box from left to right.) TOA to car yees who partment mally ilding to 15. The probability, to the nearest tenth of a percent, that a data value lies in the interval -1.72 to +0.52 is (Record your answer in the numerical response box from left to right.) tion played 16. After keeping excellent records from the past, Air Blow Manufacturing Company knows that its air compressors have an average working period of fifteen years with a standard deviation of 2.4 years. The manufacturer guarantees these compressors for 7 years. Assuming a normal distribution, the percentage, to the nearest hundredth of a percent, of compressors that the manufacturer will have to repair under warranty is (Record your answer in the numerical response box from left to right.) ment Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement 96 ? & 6- 71 y b h 1. S