In_class_handout. Week 5

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University of Toronto *

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202

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Statistics

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Feb 20, 2024

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2

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Adapted with permission from Dr. Irene Boeckmann, University of Toronto Worksheet Week 5 Practice: Find areas under the normal curve using z-scores 1. What is the proportion of observations that fall in the area under the normal curve between the mean and a z-score of 1.56? Start by marking the area you are looking for in the sketch below: 2. What is the proportion of observations that fall in the area under the normal curve between a z-score of -3.44 and the mean? Start by marking the area you are looking for in the sketch below: 3. What is the percentage of observations that fall in the area under the normal curve above a z-score of 1.96? Start by marking the area you are looking for in the sketch below:
Adapted with permission from Dr. Irene Boeckmann, University of Toronto 4. What is the proportion of observations that fall in the area under the normal curve between a z-score of -0.4 and +2.38? Start by marking the area you are looking for in the sketch below: 5. What is the percentage of observations that fall in the area under the normal curve between a z-score of 1.50 and a z-score of 3? Start by marking the area you are looking for in the sketch below: The following problems provide you with information about raw scores: 6. Assuming that height in the population is normally distributed: The average height of men is 175 cm (with a standard deviation of 12 cm). Women’s average height is 161 cm. What is the percentage of men who are shorter than the average woman? (Note: this example is not based on real data)
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