STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A 90% confidence interval for a population mean is determined to be 800 to 900. If the confidence is increased to 95% confidence while the sample statistics and sample size remain the same, the confidence interval
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becomes wider
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becomes narrower
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does not change
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None of the above
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Explanation:
Detailed explanation-1: -A 90% confidence level means that we would expect 90% of the interval estimates to include the population parameter; a 95% confidence level means that 95% of the intervals would include the parameter; and so on.
Detailed explanation-2: -Since 95% is the most common confidence level, we will find the critical value for constructing a 95% confidence interval. For a 95% confidence interval, =1−0.95=0.05 = 1 − 0.95 = 0.05, thus 2=0.025 2 = 0.025 .
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