Practice Mathematics Behind (4.4) - Chapter 6 : Data Handling

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6 sample questions

Question 1.
Define sample size in your own words.
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Think about how many surveys are conducted.
Question 2.
What does a confidence interval indicate?
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It's about the certainty of an estimate.
3Question 3.
What does a larger sample size typically lead to?
- Higher accuracy
- Lower accuracy
- No change in accuracy
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Think about the relationship between sample size and conclusions.
4Question 4.
True or False: A confidence interval is a guarantee of where a population parameter will fall.
- True
- False
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Consider what confidence intervals indicate.
Question 5.
A political survey team wants to estimate support for a policy with 90% confidence. If they find that 30% support it from a sample of 200 people, how do they calculate the margin of error?
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Use the formula: MOE = z * sqrt(p(1-p)/n).
Question 6.
You have a data set of 50 voters, and the average age is 35 years with a standard deviation of 5 years. Calculate a 95% confidence interval for the average age of voters.
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Use the formula: CI = mean ± (z * standard error), where z for 95% is approximately 1.96.

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