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Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as a. an estimator whose expected value is equal to the parameter b. an estimator whose variance is equal to one c. an estimator whose expected value is equal to zero d. an estimator whose variance goes to zero as the sample size goes to infinity 3. The term 1 - a refers to: a. the probability that a confidence interval does not contain the population parameter b. the confidence level C. the level of unbiasedness. d. the level of consistency 4. Suppose an interval estimate for the population mean was 62.84 to 69.46. The population standard deviation was assumed to be 6.50, and a sample of 100 observations was used. The mean of the sample was: a. 6.62 b. 56.34 C. 62.96 d. 66.15 5. The width of a confidence interval estimate of the population mean increases when the a. level of confidence increases b. sample size decreases c. value of the population standard deviation increases d. All of these choices are true.6. In developing an interval estimate for a population mean, the population standard deviation σ was assumed to be 10. The interval estimate was 50.92 2.14. Had ơ equaled 20, the interval estimate would be a. 60.92 t 2.14 b. 50.92 12.14 C. 101.84 t 4.28 d. 50.921 4.28 7. If the confidence level is reduced, the confidence interval a. widens. b. remains the same. c. narrows. d. disappears. 8. The zal value for a 95% confidence interval estimate for a population mean μ is a. 0.95 b. 0.025 c. 1.65 d. 1.96 9. After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. In order to correct this problem, you need to a. increase the sample size b. increase the population standard deviation. C. increase the level of confidence d. increase the sample mean 10. Which of the following is not a part of the formula for constructing a confidence interval estimate of the population mean? a. A point estimate of the population mean. b. The standard error of the sampling distribution of the sample mean. C. The confidence level d. The value of the population mean. 11. which of the following conditions does not allow you to use the formula x ± to estimate u? XT- a. Population is normally distributed and the population variance is known. b. Population is not normally distributed but n is lage population variance is known. c. Population has any distribution and n is any size d. All of these choices allow you to use the formula 12. The larger the confidence level, the a. smaller the value of za/ 2. b. wider the confidence interval. c. smaller the probability that the confidence interval will contain the population mean. d. None of these choices13. To estimate the mean of a normal population whose standard deviation is 6, with a bound on the error of estimation equal to 1.2 and confidence level 99% requires a sample size of at least a 166 b. 167 c. 13 d. None of these choices 14. The sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is a. 62 b. 61 d. None of these choices 15. The sample size needed to estimate a population mean to within 10 units was found to be 68. If the population standard deviation was 50, then the confidence level used was: a. 99% b. 95% С. 90% d. None of these choices 16. The sample size needed to estimate a population mean to within 50 units was found to be 97. If the population standard deviation was 250, then the confidence level used was a. 90% b. 95% C. 99% d. None of these choices

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