SAT Math · Topic 3.6

Inference from Sample Statistics and Margin of Error Practice

Part of Problem-Solving and Data Analysis.

Practice questions

14

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Sample questions

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Sample 1difficulty 4/5
$\pm 3\%$
- A
  $(57%, 60%)$
- B
  $(57%, 63%)$
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- C
  $(60%, 63%)$
- D
  $(50%, 70%)$
Why
$\pm$
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Sample 2difficulty 4/5
$Increasing the confidence level from 90% to 99% (with the same data) results in:$
- A
  $Wider interval$
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- B
  $Same interval$
- C
  $Narrower interval$
- D
  $Smaller margin of error$
Why
$Higher confidence requires a wider interval to capture the true mean more often.$
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Sample 3difficulty 4/5
$(495, 505)$
- A
  $495 g$
- B
  $490 g$
- C
  $505 g$
- D
  $500 g$
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Why
$(495 + 505)/2 = 500$
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Sample 4difficulty 4/5
$To narrow a confidence interval (more precise), one should:$
- A
  $Lower the population$
- B
  $Decrease sample size$
- C
  $Increase sample size$
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- D
  $Use a smaller dataset$
Why
$Larger samples produce narrower confidence intervals.$
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Sample 5difficulty 4/5
$(45, 55)$
- A
  $90% of trees are between 45 and 55 feet tall.$
- B
  $The interval is the maximum possible range.$
- C
  $We are 90% confident the population mean height is between 45 and 55 feet.$
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- D
  $There is a 10% chance the true mean is exactly 50 feet.$
Why
$A confidence interval describes confidence about the population mean, not individuals.$
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