STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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An appropriate 95% confidence interval for µ has been calculated as (-0.73, 1.92 ) based on n = 15 observations from a population with a Normal distribution. If we wish to use this confidence interval to test the hypothesis H0:µ = 0 against Ha:µ ≠ 0, which of the following is a legitimate conclusion?
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Reject H0 at the
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Fail to reject H0 at the
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Reject H0 at the
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Fail to reject H0 at the
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We cannot perform the required test since we do not know the value of the test statistic.
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Explanation:
Detailed explanation-1: -An appropriate 95% confidence interval for has been calculated as (-0.73, 1.92) based on n = 15 observations from a population with a normal distribution.
Detailed explanation-2: -Since 95% of values fall within two standard deviations of the mean according to the 68-95-99.7 Rule, simply add and subtract two standard deviations from the mean in order to obtain the 95% confidence interval.
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