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Assessing Normality

Assessing Normality. When is the data Normal enough?. Use the 68-95-99.7 Rule. Plot the data and check for the shape to be……. Determine if ____ % of the data is within 1 standard deviation Determine if 95% of the data is within ___ standard deviations

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Assessing Normality

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  1. Assessing Normality When is the data Normal enough?

  2. Use the 68-95-99.7 Rule • Plot the data and check for the shape to be……. • Determine if ____ % of the data is within 1 standard deviation • Determine if 95% of the data is within ___ standard deviations • Determine if ____ % of the data is within ____ standard deviations

  3. Normal Probability Plot • X-axis is the data scale • Y-axis is the z-score scale • All data is converted to its z-score and plotted as (data, z-score) • Data should appear linear if it is Normal

  4. Shape from Normal Probability Plot • Symmetric = Linear • Skewed Right = few large values, so large x-values will fall to the right of the line • Skewed left = few small values, so small values will fall to the left of the line

  5. ENTER IN YOUR CALC IN L1 Refrigerator Space The following is a sample of 36 side-by-side refrigerators and their capacity (in cubic feet). Are the data close to Normal?

  6. My Calculator Example On the Emulator

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