SOLUTION: If a 99% confidence interval for a population mean contains 1, then the 95% confidence interval for the same parameter must contain 1. (Justify for full credit)
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-> SOLUTION: If a 99% confidence interval for a population mean contains 1, then the 95% confidence interval for the same parameter must contain 1. (Justify for full credit)
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Question 1070211: If a 99% confidence interval for a population mean contains 1, then the 95% confidence interval for the same parameter must contain 1. (Justify for full credit) Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! A 99% confidence interval is wider than a 95% confidence interval
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say we are working with a normal distribution
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a 99% confidence interval will be the sample statistic + or - 2.58 * (standard error)
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a 95% confidence interval will be the sample statistic + or - 1.96 * (standard error)
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Therefore there is no guarantee that 1 will be in the 95% confidence interval
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