Deck 8 – Estimation & CLT (LM7) — Flashcards

Question

How should you interpret a confidence interval for a population mean?

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Answer

It gives a plausible range for the true population mean.

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Question

What are the one-sample test statistics for a mean under known versus unknown population variance?

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Answer

$z = r a c a r x - h o h e t a / f r a c e x t ?$ , $t = r a c a r x - h o s / f r a c e x t ?$

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Question

When population standard deviation is unknown, why is a $t$ statistic used instead of a $z$ statistic?

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Answer

Because $s$ replaces $h o$ , adding estimation uncertainty.

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Question

What is the formula for the standard error of the sample mean?

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Answer

$e x t S E = r a c h e t a e x t ?$

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Question

How should you interpret a confidence interval for a population mean?

Tap to flip

Answer

It gives a plausible range for the true population mean.

Tap to flip back

Question

What are the one-sample test statistics for a mean under known versus unknown population variance?

Tap to flip

Answer

$z = r a c a r x - h o h e t a / f r a c e x t ?$ , $t = r a c a r x - h o s / f r a c e x t ?$

Tap to flip back

Question

When population standard deviation is unknown, why is a $t$ statistic used instead of a $z$ statistic?

Tap to flip

Answer

Because $s$ replaces $h o$ , adding estimation uncertainty.

Tap to flip back

Question

What is the formula for the standard error of the sample mean?

Tap to flip

Answer

$e x t S E = r a c h e t a e x t ?$

Tap to flip back