Confident Intervals Quiz

Froggy Jumps

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Aiming for accurate estimates

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Aidan Puck

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Confident Intervals Quiz


Froggy Jumps Confident Intervals QuizVersión en línea Aiming for accurate estimates por Aidan Puck 1 What is a confidence interval? a The exact value of the population parameter b A range within which the true parameter lies with a given probability c A single point estimate of a parameter 2 What does a 95% confidence level mean? a There is a 95% chance the parameter is in this interval b If we repeated the study many times, 95% of the intervals would contain the true parameter c 98% of samples will produce this exact interval 3 Which component is NOT needed to compute a CI for a mean with known sigma? a Sample median b Standard deviation (sigma) c Sample mean 4 Which factor affects the width of a CI? a Population size b Sample size c Number of outliers 5 What happens to the CI width if confidence level increases? a It stays the same b Width decreases c Width increases 6 Which method is common for large samples to estimate a mean CI? a T-test for a proportion b Z-interval c Chi-squared interval 7 Which condition makes a CI for a mean unreliable? a Normal population with big n b Large sample with known variance c Small sample size with unknown sigma 8 What is the relationship between confidence level and alpha? a Alpha is the square root of n b Alpha equals the CI width c Alpha is 1 minus the confidence level 9 Which interval is typically used when sigma is unknown and n is small? a Bootstrap interval b Normal z-interval c Student's t-interval 10 What does margin of error depend on? a Critical value, standard error, and sample size b Sample mean only c Population variance only 11 What does a 95% confidence interval mean in the long run? a The sample mean lies 95% of the time inside the interval b If we repeated many samples, 95% of the intervals would contain the true parameter c The true parameter has a 95% chance of lying in the interval 12 Which value is typically used to construct a classical CI for a mean when n is large? a F statistic b Chi-square statistic c Z statistic (or t when sigma is unknown) 13 If the margin of error increases, what happens to the width of the CI? a The interval becomes narrower b The confidence level automatically decreases c The interval becomes wider 14 What effect does increasing the sample size have on a CI for a fixed confidence level? a The CI usually becomes narrower b The CI widens c The confidence level increases automatically 15 A 90% CI is reported vs a 95% CI. Which is wider? a 95% CI is wider b 90% CI is wider c Both have the same width 16 What is the relationship between confidence level and margin of error? a Higher confidence level increases the margin of error b Margin of error is independent of confidence level c Higher confidence level decreases the margin of error 17 Which assumption is essential for a CI for a mean with known sigma? a Data must be non-negative b Population is normal or sample size large c Population variance must be zero 18 If a 95% CI for a mean is [5, 9], what is the point estimate? a 9 b 5 c 7 19 Which formula is commonly used for CIs with unknown sigma? a Mean ± z(s/√n) b Mean ± t(s/√n) c Mean ± chi-squared*(s/√n) 20 What does a narrow CI imply about the estimate? a There is more precision about the parameter b There is less precision c The confidence level is invalid

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Confident Intervals Quiz

Froggy Jumps

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Creada por

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Confident Intervals QuizVersión en línea

por Aidan Puck

What is a confidence interval?

What does a 95% confidence level mean?

Which component is NOT needed to compute a CI for a mean with known sigma?

Which factor affects the width of a CI?

What happens to the CI width if confidence level increases?

Which method is common for large samples to estimate a mean CI?

Which condition makes a CI for a mean unreliable?

What is the relationship between confidence level and alpha?

Which interval is typically used when sigma is unknown and n is small?

What does margin of error depend on?

What does a 95% confidence interval mean in the long run?

Which value is typically used to construct a classical CI for a mean when n is large?

If the margin of error increases, what happens to the width of the CI?

What effect does increasing the sample size have on a CI for a fixed confidence level?

A 90% CI is reported vs a 95% CI. Which is wider?

What is the relationship between confidence level and margin of error?

Which assumption is essential for a CI for a mean with known sigma?

If a 95% CI for a mean is [5, 9], what is the point estimate?

Which formula is commonly used for CIs with unknown sigma?

What does a narrow CI imply about the estimate?