Confidence intervals

Alexander computed roughly 1000 95%-confidence intervals in his life. How many of them contain the population mean?

• 1000

• roughly 950

• roughly 95

• roughly 50

Tags

CCSS.HSS.IC.B.4

Daniel and Tyron want to estimate the same population mean. Daniel collects a sample of 100 observations, Tyron of 200 observations. They both calculate 95% CI's.

• Daniels CI is roughly 2 times larger than Tyrons

• Daniels CI is roughly 1.5 times larger than Tyrons

• Daniels and Tyrons CI are roughly of the same size

• Daniels CI is two times smaller than Tyrons

Hein and Alexander want to estimate the same population mean. They use the same sample, but Hein calculates a 95% CI whereas Alexander computes a 90% CI.

• Heins CI is larger

• Both are roughly equally large

• Alexander CI is larger

• It depends on the sample which one is larger

The correct formula for a 95% CI for population means is

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Tags

CCSS.HSS.IC.B.4

the correct formula for a 95% CI for a proportion is

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Tags

CCSS.HSS.IC.B.4

The economist published a new (hypothetical) poll for the US presidential election: The 95% CI's for the voting share equal: Biden 44% +/- 1% and Trump 43% +/- 1%. What can we conclude?

• Biden is clearly leading

• There is no significant difference between both

• Trump is clearly leading

• A third party candidate is clearly leading

Tags

CCSS.HSS.IC.B.4

A 95% CI for the population mean always

• contains the sample mean

• contains the population mean

• gets smaller when we add new observations to the sample

• requires normally distributed random variables

Tags

CCSS.HSS.IC.B.4

A large standard deviation causes

• larger CI's

• smaller CI's

• Has no influence on CI's

• trouble calculating CI's

We want to estimate the failure rate of a nuclear power plant. We really do not want the population parameter be outside the CI and therefore

• Calculate a 99% CI instead of a 95% CI

• Calculate a 90% CI instead of a 95% CI

• Use IQR instead of SD

• Calculate a 5% CI

Tags

CCSS.6.SP.B.5C

What is the name of the plot showing multiple confidence intervals

• Boxplot

• Candlestick-Chart

• HI-LO plot

• Sparklines

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1