Exam 7: Theoretical Distributions Including the Normal Distribution
Exam 1: Introduction211 Questions
Exam 2: Exploring Data: Frequency Distributions and Graphs94 Questions
Exam 3: Exploring Data: Central Tendency103 Questions
Exam 4: Exploring Data: Variability137 Questions
Exam 5: Other Descriptive Statistics188 Questions
Exam 6: Correlation and Regression170 Questions
Exam 7: Theoretical Distributions Including the Normal Distribution138 Questions
Exam 8: Samples, Sampling Distributions, and Confidence Intervals162 Questions
Exam 9: Hypothesis Testing and Effect Size: One-Sample Designs157 Questions
Exam 10: Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs206 Questions
Exam 11: Analysis of Variance: One-Way Classification176 Questions
Exam 12: Analysis of Variance: One-Factor Repeated Measures105 Questions
Exam 13: Analysis of Variance: Factorial Design148 Questions
Exam 14: Chi Square Tests147 Questions
Exam 15: More Nonparametric Tests150 Questions
Exam 16: Appendix: Grouped Frequency Distributions and Central Tendency21 Questions
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Data Set 7-1: Suppose an urn (a kind of jar that seems to be the best natural habitat for marbles) contained 3 red, 6 black, 5 blue, 2 yellow and 4 green marbles.
-Refer to Data Set 7-1. The probability of drawing a blue marble is
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In a special game of cards, there were 20 blues, 15 reds, 10 greens, and 5 whites.
a. What is the probability of drawing a blue card at random?
b. What is the probability of drawing a blue or a green card?
c. Draw a theoretical distribution of the probabilities of the four kinds of cards.
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Suppose the mean of a particular normal distribution is 3.95. The median of this distribution will be
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What is the probability of drawing a card larger than a 9 (excluding aces) from an ordinary deck of playing cards? Describe how you arrived at your answer.
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A rectangular distribution is an example of a normal distribution.
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A characteristic that always distinguishes an empirical from a theoretical curve is
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Each alternative below gives a distance on the baseline of the normal curve in standard deviation units. Choose the limits that mark off the smallest proportion of the normal curve.
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a.Over the years, the scores on the final exam in General Psychology have been normally distributed with a mean of 75 and a standard deviation of 8. What proportion would be expected to score between 70 and 85?b. For the problem above, what scores separate the upper 1/2% and the lower 1/2% from the rest of the population?
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The diameters of the trees in a stand of 100-year-old Ponderosa Pines are normally distributed with a mean of 15 inches and a standard deviation of 4 inches. If only trees with diameters of 8 inches or more are marketable, what proportion of the stand is marketable?
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Suppose a population was normally distributed with = 10 and = 2.
a. What proportion of the scores would lie between 7.5 and 12.5?
b. What proportion would lie between 7.5 and 10.5?
c. What proportion would lie between 10.5 and 12.5?
d. What score would separate the lower 40% of the population from the upper 60%?
e. If there were 250 members of the population, how many would be expected to score 11 or more?
f. What proportion would be expected to score 9 or more?g. Does this problem deal with a theoretical or an empirical distribution?
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When a theoretical distribution is used to assess probability, the area under the curve is considered to be
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Data Set 7-5: Suppose you knew that a population had a mean of 150 and a standard deviation of 50.
-Use Table C and Data Set 7-5. The proportion of the population with scores less than 0 is
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If an urn contains 2 red balls, 2 blue balls, and 1 green ball, the probability of drawing a blue ball is .20.
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The denominator of the z score in Chapter 7 is a standard deviation.
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Data Set 7-5: Suppose you knew that a population had a mean of 150 and a standard deviation of 50.
-The proportion of the population of scores in Data Set 7-5 that is between 100 and 175 would be
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