Which of the following statements about the confidence interval estimation of a population mean is false? A. The larger the value of sample mean is, the larger the width of the confidence interval of the population mean is. B. The width of a 98% confidence interval estimate of a population mean is larger than the width of a 95% confidence interval estimate for this population mean. C. The higher the confidence level is, the larger the reliability factor is. D. The margin of error of a confidence interval is larger when the sample size is smaller.
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Which of the following statements is false? a. The width of a confidence interval estimate of the population mean narrows when the sample size increases. b. The width of a confidence interval estimate of the population mean narrows when the value of the sample mean increases. c. The width of a confidence interval estimate of the population mean widens when the confidence level increases. d. Both "The width of a confidence interval estimate of the population mean narrows when the sample size increases" and "The width of a confidence interval estimate of the population mean widens when the confidence level increases." e. None of these.
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Which of the following statements are true about a 95% confidence interval for a certain population mean? About 5 out of 100 intervals constructed like this will miss the actual population mean. The population standard deviation must be provided to construct such an interval. If the sample size is less than 30, then the population does not follow a normal distribution. The probability that this interval contains the actual population mean is 95%. The margin of error becomes smaller if the same sample is used to construct a 90% confidence interval for the same population.
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