Form 6: Comparing Two Population Inferences
Compare inferences drawn from samples of two distinct populations. Analyze differences between sample statistics to compare population trends.
Questions
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MultiChoice
Random samples show Grade 7 students spend a mean of 5 hours/week on homework, while Grade 8 students spend a mean of 4 hours/week. What inference is supported?
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MultiChoice
A random sample from School A has a mean of 10 books read/year. School B's sample has a mean of 7 books read/year. What inference is valid?
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MultiChoice
Random samples from Class X (IQR = 15) and Class Y (IQR = 6) are compared. What can be inferred about the variability of scores?
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MultiChoice
Store A sample mean item price is $25; Store B sample mean is $20. Both samples are random and size 50. What inference is supported?
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MultiChoice
Sample statistics: Team 1 Mean = 50, Range = 10. Team 2 Mean = 50, Range = 30. What inference is valid about consistency?
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MultiChoice
In a random sample, 60% of Group A exercises in the morning versus 40% of Group B. What inference can be made?
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MultiChoice
Sample mean life for Brand X is 40 hours; for Brand Y it is 32 hours. What can be inferred about the populations?
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MultiChoice
Grade 6 sample height MAD = 2.5 inches; Grade 7 sample height MAD = 4.1 inches. What inference is supported?
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MultiChoice
Suburban sample mean = 2.1 pets/household; Urban sample mean = 1.2 pets/household. What inference is valid?
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MultiChoice
Two teaching methods were tested with random samples. Method A mean gain = 12 points; Method B mean gain = 7 points. Infer which method was more effective.
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MultiChoice
Town 1 sample recycling rate = 45%; Town 2 sample recycling rate = 68%. What inference is supported?
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MultiChoice
When comparing two random sample distributions, what does significant overlap of data points suggest?