Size & Power of Test (Edexcel A-Level Further Mathematics): Quizzes

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Size & Power of Test
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What is a point estimate?

An estimate of a population feature from data

A 95% confidence interval for μ\mu coincides with the acceptance region for which significance level?

5% significance level

What does a 95% confidence interval tell us?

95% of such intervals would contain μ\mu

What is x‾\overline{x} a point estimate for?

μ\mu (population mean)

What is s2s^2 a point estimate for?

σ2\sigma^2 (population variance)

In μ=x‾±Zσn\mu = \overline{x} \pm Z \frac{\sigma}{\sqrt{n}}, what does x‾\overline{x} represent?

Centre of the interval (sample mean)

What is the Z-value for a 95% confidence interval?

1.96

What is the Z-value for a 99% confidence interval?

2.5758

In μ=x‾±Zσn\mu = \overline{x} \pm Z \frac{\sigma}{\sqrt{n}}, what does σn\frac{\sigma}{\sqrt{n}} represent?

Standard deviation of sampling distribution

Given ∑x=6046\sum x = 6046 and n=36n = 36, what is the unbiased estimate of the mean?

167.9444

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