Confidence Interval

What is the margin of error in a confidence interval?

• Confidence level * Standard deviation

• Critical value * Standard error of the sample mean

• Sample size * Standard deviation

• Critical value * Standard deviation

Tags

CCSS.HSS.IC.B.4

Explain the concept of confidence level in relation to confidence intervals.

• Confidence level is the range of values within which the population parameter is guaranteed to fall.

• Confidence level is the margin of error in the confidence interval.

• The concept of confidence level in relation to confidence intervals is the probability that the interval contains the true population parameter.

• Confidence level is the standard deviation of the sample data used to calculate the confidence interval.

Tags

CCSS.HSS.IC.B.4

When is the t-distribution used in calculating confidence intervals?

• When the population standard deviation is unknown and the sample size is small

• When the population standard deviation is unknown and the sample size is large

• When the population standard deviation is unknown and the sample size is medium

• When the population standard deviation is known and the sample size is small

Tags

CCSS.HSS.ID.A.4

Calculate the margin of error for a sample with a standard deviation of 5, a sample size of 100, and a 95% confidence level.

• 0.98

• 7.89

• 1.23

• 3.45

Tags

CCSS.HSS.IC.B.4

Why is it important to choose an appropriate confidence level when constructing a confidence interval?

• To ensure the confidence interval is always accurate

• To determine the range of values within which the true population parameter is likely to fall.

• To confuse the audience with misleading information

• To make the calculation more complex than necessary

Tags

CCSS.HSS.IC.B.4

If the margin of error for a confidence interval is 2 and the sample mean is 50, what is the interval estimate?

• [49, 51]

• [47, 53]

• [45, 55]

• [48, 52]

Tags

CCSS.HSS.IC.B.4

How does increasing the sample size affect the margin of error in a confidence interval?

• Increases

• Remains constant

• Decreases

• Has no effect

Tags

CCSS.HSS.IC.B.4

What is the relationship between confidence level and the width of a confidence interval?

• No relationship

• Negative relationship

• Positive relationship

• Inverse relationship

Tags

CCSS.HSS.IC.B.4