Exam 10: The Analysis of Variance

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If three 95% confidence intervals for a population mean μ\mu are calculated based on three independent samples selected randomly from the population, then the simultaneous confidence level will be about __________%.

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In the "model equation" Xy=μi+εysX _ { y } = \mu _ { i } + \varepsilon _ { y } { } ^ { \prime } s are assumed to be independent and normally distributed random variables with mean of 0 and standard deviation of σ\sigma for every i and j. Then the mean and variance of XyX _ { y } are __________ and __________, respectively.

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If three 90% confidence intervals for a population proportion p are calculated based on three independent samples selected randomly from the population, then the simultaneous confidence level will be

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