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Normal Distributions on the ClassPad GETTING READY A) Open the Statistics Application (I). B) Select Edit and then Clear All. C) If there is something already open in Statistics; make sure you save it if you want to keep it. If not, select OK when prompted with the Clear All menu. EXAMPLE From a random sample of thermometers find the probability that a given thermometer would read between -2.2° and 1.1° when trying to measure the freezing point of water. This is a standard normal distribution. Tip: Note that in a standard normal distribution, μ=0 and σ=1. 1) Select Calc, Distribution from the menu. This will open a dialog box. In the second dropdown menu within the dialog box, select Normal CD and tap Next. 2) Enter in the Lower and Upper z-values given in the problem. (The ClassPad will default to a standard normal distribution and will fill in μ and σ with the values for this type of distribution.) Tip: If you are ever working with a non-standard normal distribution, note that you can change the values for μ and σ as needed. 3) Tap Next. We see that the probability is approximately 0.85. 4) Now tap $. What do you notice? 1 YOUR TURN #1: From a random sample of thermometers find the probability that a given thermometer would read between -1.7° and 1.0° when trying to measure the freezing point of water. This is a standard normal distribution. Use the ClassPad and the example above to help you. Probability: Sketch the graph with shading: (include z-values, and area values) 0 YOUR TURN #2: From a random sample of thermometers find the probability that a given thermometer would read between -0.5° and 0.5° when trying to measure the freezing point of water. This is a standard normal distribution. Use the ClassPad and the example above to help you. Probability: Sketch the graph with shading: (include z-values, and area values) 0 INTERPRET YOUR FINDINGS: What do your results tell you? Hint: Think about what happens to the probability as the interval between the lower and upper z-values decreases. 2