FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The heights (in inches) of adult males on a small Pacific Island are believed to be Normally distributed with an unknown mean
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69.72 ± 2.32.
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69.72 ± 2.07.
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69.72 ± 11.61
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None of the above
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Explanation:
Detailed explanation-1: -Suppose we want to generate a 95% confidence interval estimate for an unknown population mean. This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean]-margin of error < < [sample mean] + margin of error) = 0.95.
Detailed explanation-2: -In the large-sample case, a 95% confidence interval estimate for the population mean is given by x̄ ± 1.96/ √n. When the population standard deviation, , is unknown, the sample standard deviation is used to estimate in the confidence interval formula.
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