FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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What is the format for interpreting a confidence interval?
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The interval from ____ to ____ captures the true mean in context.
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C% of samples of the same size taken from the same population will capture the parameter in question
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There is convincing evidence that C% gives the interval ( ____, ____ ) capturing the parameter in question.
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We are C% confident that the interval from ____ to ____ captures the [parameter in context].
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Explanation:
Detailed explanation-1: -A confidence interval indicates where the population parameter is likely to reside. For example, a 95% confidence interval of the mean [9 11] suggests you can be 95% confident that the population mean is between 9 and 11.
Detailed explanation-2: -A 95% confidence interval for the standard normal distribution, then, is the interval (-1.96, 1.96), since 95% of the area under the curve falls within this interval.
Detailed explanation-3: -A 95% CI simply means that if the study is conducted multiple times (multiple sampling from the same population) with corresponding 95% CI for the mean constructed, we expect 95% of these CIs to contain the true population mean.
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