Lesson 5 Using Technology to find areas_values - Copy

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Pennsylvania State University *

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Statistics

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May 1, 2024

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Chapter 2 Modeling Distributions of Data Lesson 5 Using Technology to find Areas in a Normal Distribution Z-Score Table / Table A / The Standard Normal Probability Table: We have a Normal Distribution with mean 6.84 and SD 1.55. We want to find the area to the left of 6. Technology / TI-84/83: 1. Find Areas from Values: 1. Using the Standard Normal Distribution: What proportion of observations are less than z = -0.54? Step 1:

Step 2: Four inputs: the left bound, the right bound, the mean and the SD Step 3: We chose -1000 as the lower bound because it’s many, many SDs less than the mean. 2. Using the unstandardized Normal Distribution: What proportion of observations are less than x = 6? Step 1: Step 2: Step 3: This answer is slightly different from the one we got using the standard Normal Distribution because we rounded the standardized score to two decimal places. 3. Finding Areas between two values: Using the table:

Using Technology: What proportion of observations are less than x = 6? Step 1: Step 2: Lower: -0.54, upper: 1.39, Step 3: 2. Finding values from areas: Calculate the value corresponding to a given percentile Using the Table:

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