Section 3 - 3: Measures of Relative Standing 1. A set of bell shaped data has u -25.2 and o-2.4 Show the set up and then convert each of the listed data points x from the population into its corresponding z score. Round to 2 decimal places. 1A) X = 28.1 Z = 1B) X = 30.7 Z= Set up: (28.1-25.2) Set up: 2.4 1C) x = 16.2 Z = 1D) x = 22.3 Z = Set up: Set up: 1E) X = 27.4 1F) x = 18.5 Z= Set up: Set up: 1G) X = 33.6 Z= 1H) x = 25.2 Z = Set up: Set up: 11) Which , if any, of the above x values are unusual?2. A set of bell shaped data has x - 85.3 and s, =9.2 Show the set up and then convert each of the listed data points x from the population into its corresponding z score. Round to 2 decimal places. 2B) x = 96.1 Z= 2A) x = 88.2 Z= (88.2-85.3) Set up: Set up: = 2 9.2 2C) x = 69.2 Z= 2D) x = 108.2 Z= Set up: Set up: 2E) x = 90.6 Z= 2F) X = 67.4 Z= Set up: Set up: 2G) x = 72.5 Z= 2H) x = 63.42 Z= Set up: Set up: 21) Which , if any, of the above x values are unusual?3. A teacher collected a sample of the ages of 16 people who attend the local swimming pool on a recent Saturday. 3 4 7 7 8 8 8 12 12 16 16 17 17 18 20 21 Mean = Standard Deviation = Show the set up and then convert each of the listed data points x from the population into its corresponding z score. Round to 2 decimal places. 3A) X=3 Z= 3B) x = 16 Z= Set up: Set up: 3C) x = 21 2= 3D) x = 7 Z= Set up: Set up: 4. The heights of all the presidents have a mean of 71.5 in. and a standard deviation of 2.1 inches. President Mckinley had a height of 67 inches. Was his height unusual? Show the work using z scores and answer the question. Assume a bell shaped distribution. 5. The wait time for the local bank was 8.24 minutes with a standard deviation of 1.75 minutes. The last time I was in the bank I had to wait 5.5 minutes in line. Is that unusual? Show the work using z scores and answer the question. Assume a bell shaped distribution