Probability The z score that corresponds to a data value represents a Normal Percentile. These percentiles can be found on the table on pages A-29 and 30 in the back of your book. These percentiles represent the probability of being at that z score or lower. Cumulative area from the left. Determine the area under the normal curve to the left of z=1.00 Determine the area under the normal curve between z=-1.5 and z=1.0 pg 876-880 #3, 4, 6, 8 Male heights are distributed with a mean of 69 inches and a standard deviation of 2.5 inches. Female heights are normally distributed with a mean of 64.5 inches and a standard deviation of 2.5 inches. pgs 890-892 #4-12 Label the graph for you, find your z-score and percentile! The blood pressure of an 18 year old woman is normally distributed with mean of 120 and a standard deviation of 12. Draw and label the Normal Model for this data. What percent of 18 year old women have a blood pressure between 96 and 144? Greater than 120? Less than 96? The normal car speeds on an old town highway have a mean of 77 and a standard deviation of 9.1. What is the value of the 85th percentile? ◦ Step 1: Look up the closest to .85 (%) on the ztable. ◦ Step 2: Find the corresponding z-score. ◦ Step 3: Set up an equation with the z-score, mean, 𝑥−𝜇 and standard deviation. 𝑧 = 𝜎 ◦ Step 4: Solve for x.