Exam 5: The Normal Curve

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To estimate probabilities, set up a fraction with the number of _________ in the numerator and the number of _________ in the denominator.

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By definition, the normal curve is________.

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The Z scores of two tests scores are + 1.2 and + 1.5. To obtain the area between these scores________.

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A common real world application of the normal curve is________.

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A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students has GPAs Z score Area. a. less than 2.30 b. less than 2.00 c. more than 2.00 d. more than 3.00 e. between 2.50 and 3.50 f. between 2.00 and 2.50

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What is the probability that a randomly selected case from the sample in the previous question would have a score of 52 or more?

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As used in the social sciences, probabilities are a type of ___________ which can vary from _____________.

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As the standard deviation of a normal distribution increases, the percentage of the area between ± 1 standard deviation will________.

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In terms of construction, the normal curve is what kind of chart?

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The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If the variable is normally distributed, what is the probability that a randomly selected town will have a homicide rate greater than 8?

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The Z score table gives the area between a score and the mean. For a Z score of -1.00, that area (in percentages) is________.

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If a case has a Z score of 2.3, the standard deviation would be________.

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To obtain the area below a positive Z score or above a negative Z score you would________.

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The mean on a standardized test is 100 and the standard deviation is 35. Your score is 65. What percentage of the scores were higher than yours?

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The tails of the theoretical normal curve________.

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Assuming a normal distribution of 1000 cases, how many cases will be farther away from the mean than + 3 standard deviations?

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The mean score on a final chemistry exam was 75, and the standard deviation of the scores was 5. If the distribution is normal and your score was 70, what percentage of the scores was lower than yours?

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