BBI MORRISON 208 10 500 batteries to their batteries is estimated to normally distributed, then to last less than 31 hours? Statistics Lesson #6: Applications Involving The Normal Distribution 5. The results of a provincial achievement test are normally distributed and are represented in the diagram below. The data under the curve represents all of the students who wrote the test. The values 452 and 2500 represent the number of students in the shaded regions. a) How many students wrote the test? 452 Z-scores Z1 b) What is the value of z? 2500 247 CAH TOA ted with a mean e mean height? 6. The data below the curve is normally distributed and represents the birth weights of a large number of babies. What is the value of z? s 90 km/h with a ice officer is km/h. 10% are 5000 329 z-scores 0 21 7. After reviewing previous loan records, the credit manager of a bank determines that the data follows a normal distribution. The debts have a mean of $20 000 and the probability that the loss could be greater than $25 000 or less than $15 000 is 0.418. Determine the standard deviation of the data to the nearest hundred dollars. to ticket? 8. A company packages rice into 10 kg bags. The machine that fills the bags can be calibrated to fill to any specified mean with a standard deviation of 0.09 kg. Any bags that weigh less than 10 kg cannot be sold and must be refilled. To what mean value, to the nearest hundredth of a kilogram, should the machine be set if the company does not want to refill more than 1.5% of the bags? COA py agreement Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement