A pediatrician obtains the heights of her three-year-old female patients. The heights are approximately normally distributed, with mean 38.72 inches and standard deviation 3.17 inches. Use the normal model to determine the proportion of the three-year-old females that have a height less than 35 inches.

By-Hand Approach 

Step 1 Draw a normal curve and shade the desired area.

Step 2 Convert the value of x to a z-score using

Step 3 Use Table V to find the area to the left of the z-score found in Step 2.

Technology Approach 

Step 1 Draw a normal curve and shade the desired area.

Step 2 Use a statistical spreadsheet or calculator with advanced statistical features to find the area. The steps for determining the area under any normal curve using the TI-83/84 Plus graphing calculator, Minitab, Excel, and StatCrunch are found in the Technology Step-by-
Step

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