Suppose you are constructing a confidence interval for the population mean. For a given sample size and standard deviation, the width of the interval is wider for a O larger point estimate. O smaller point estimate. O lower confidence level. O higher confidence level.
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The margin of error is calculated as: $$Margin\ of\ Error = Critical\ Value \times Standard\ Error$$ The standard error is given by: $$Standard\ Error = \frac{Standard\ Deviation}{\sqrt{Sample\ Size}}$$ Since the sample size and standard deviation are given, the Show more…
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For a given sample size, the higher the confidence level the greater the interval width. smaller the standard error. more accurate the point estimate. smaller the interval width.
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The width of a confidence interval will be: Narrower for 98 percent confidence than for 90 percent confidence. Wider for a sample size of 64 than for a sample size of 36. Wider for a 99 percent confidence than for 95 percent confidence. Narrower for a sample size of 25 than for a sample size of 36. None of these.
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