Stat 101 3rd Long Exam Review Session

A parameter cannot have more than one unbiased estimator.

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The standard error of the estimator is its measure of reliability.

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A reliable estimator assures that the corresponding computed estimate is close to the parameter being estimated.

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The sample mean is the most efficient estimator of the population mean.

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The 95% confidence interval estimate for the population mean based on a random sample of size 20 from a normal distribution with known variance is always longer than the 95% confidence interval estimate based on a random sample of size 50 from the same population.

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If Ho is rejected at 0.05 level of significance, then Ho will also be rejected at 0.10 level of significance using the same test on the same data set.

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In hypothesis testing, if the p-value is 0.01, then Ho will not be rejected at 0.05 level of significance.

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We decide to reject Ho if the value of the test statistic belongs in the critical region.

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The size of the critical region of a test increases as we increase the level of significance.

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The probability of committing a Type I error when we decide to reject the null hypothesis will never be larger than the level of significance.

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