Chapter 1. Introduction to Confidence Intervals: the Basics

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Questions 1-2

0:57

Question 1.1

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Incorrect. The sample statistic usually differs from the population parameter because of sampling variability.
Correct. The sample statistic usually differs from the population parameter because of sampling variability.
Incorrect. Try again.
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Question 1.2

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Incorrect. The sampling distribution of \( \overline{x} \) provides us probabilities on \( \overline{x} \) and a measure of the variability of \( \overline{x} \) with the standard deviation of the sampling distribution of \( \overline{x} \).
Correct. The sampling distribution of \( \overline{x} \) provides us probabilities on \( \overline{x} \) and a measure of the variability of \( \overline{x} \) with the standard deviation of the sampling distribution of \( \overline{x} \).
Incorrect. Try again.
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Question 3

1:50

Question 1.3

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Incorrect. Margin of error is an estimate of the maximum size of the error.
Correct. Margin of error is an estimate of the maximum size of the error.
Incorrect. Try again.
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Questions 4-5

2:25

Question 1.4

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Incorrect. A confidence interval is used to estimate the value of a parameter.
Correct. A confidence interval is used to estimate the value of a parameter.
Incorrect. Try again.
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Question 1.5

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Incorrect. We use a test of significance to assess evidence for or against a claim about a parameter.
Correct. We use a test of significance to assess evidence for or against a claim about a parameter.
Incorrect. Try again.
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Question 6

3:43

Question 1.6

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Incorrect. All statistical inferential procedures have conditions that must be met for the results to be valid.
Correct. All statistical inferential procedures have conditions that must be met for the results to be valid.
Incorrect. Try again.
2

Question 7

4:42

Question 1.7

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Incorrect. Since we are doing inference on µ, we do not need to know the value of µ.
Correct. Since we are doing inference on µ, we do not need to know the value of µ.
Incorrect. Try again.
2

Question 8

5:14

Question 1.8

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Incorrect. This is the most important requirement for valid statistical inference.
Correct. This is the most important requirement for valid statistical inference.
Incorrect. Try again.
2

Question 9

5:55

Question 1.9

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Incorrect. Since outliers are problematic and negate Normality, we always plot our data and check for outliers.
Correct. Since outliers are problematic and negate Normality, we always plot our data and check for outliers.
Incorrect. Try again.
2

Question 10

6:23

Question 1.10

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Incorrect. In practice, we rarely know the value of \(\sigma \) (the population standard deviation) when we want to estimate the value of µ. So we use s (the sample standard deviation) to estimate \(\sigma \).
Correct. In practice, we rarely know the value of \(\sigma \) (the population standard deviation) when we want to estimate the value of µ. So we use s (the sample standard deviation) to estimate \(\sigma \).
Incorrect. Try again.
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