# Chapter 1. How Confidence Intervals Behave

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Stat Tutor
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1:04

### Question 1.1

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Incorrect. Margin of error is ME = $$z^{*} \frac{ \sigma }{ \sqrt{n} }$$. Sample size affects margin of error as it is part of the formula; σ, the population standard deviation is also part of the formula. z* is determined by level of confidence so level of confidence affects margin of error. The value of the population, µ, is not part of the formula so it does NOT affect margin of error.
Correct. Margin of error is ME = $$z^{*} \frac{ \sigma }{ \sqrt{n} }$$. Sample size affects margin of error as it is part of the formula; σ, the population standard deviation is also part of the formula. z* is determined by level of confidence so level of confidence affects margin of error. The value of the population, µ, is not part of the formula so it does NOT affect margin of error.
Incorrect. Try again.
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3:01

### Question 1.2

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Incorrect. Population standard deviation is what it is and no one can control it.
Correct. Population standard deviation is what it is and no one can control it.
Incorrect. Try again.
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4:10

### Question 1.3

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Incorrect. Increasing level of confidence increases z* which increases margin of error.
Correct. Increasing level of confidence increases z* which increases margin of error.
Incorrect. Try again.
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### Question 1.4

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Incorrect. Increasing sample size, increases the denominator which in turn decreases margin of error.
Correct. Increasing sample size, increases the denominator which in turn decreases margin of error.
Incorrect. Try again.
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4:52

5:36

### Question 1.5

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Incorrect. Increasing sample size, increases the denominator which in turn decreases margin of error. Increasing confidence level increases margin of error.
Correct. Increasing sample size, increases the denominator which in turn decreases margin of error. Increasing confidence level increases margin of error.
Incorrect. Try again.
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6:01

### Question 1.6

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Incorrect. Population size is not part of the formula for margin of error and does not affect margin of error.
Correct. Population size is not part of the formula for margin of error and does not affect margin of error.
Incorrect. Try again.
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