Chapter 10 Section 1 - CHAPTER 10 SECTION 1 INTRODUCTION TO ESTIMATION TRUE\/FALSE 1 An unbiased estimator is said to be consistent if the difference

# Chapter 10 Section 1 - CHAPTER 10 SECTION 1 INTRODUCTION TO...

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CHAPTER 10 SECTION 1: INTRODUCTION TO ESTIMATION TRUE/FALSE 1.An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows smaller as the sample size grows larger. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 2.An unbiased estimator is a sample statistic whose expected value equals the population parameter. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 3.An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 4.If there are two unbiased estimators of a parameter, the one whose variance is smaller is said to be relatively efficient. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 5.An interval estimate is a range of values within which the actual value of the population parameter, such as μ, may fall. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 6.An interval estimate is an estimate of the range for a sample statistic. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 7.The sample variance (where you divide by n-1) is an unbiased estimator of the population variance. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 8.Knowing that an estimator is unbiased only assures us that its expected value equals the parameter, but it does not tell us how close the estimator is to the parameter. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 9.The sample mean is a consistent estimator of the population mean μ . PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 10.The sample proportion is a consistent estimator of the population proportion pbecause it is unbiased and the variance of is p(1 -p) / n, which grows smaller as n grows larger. PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation 11.The sample variance s2is an unbiased estimator of the population variance σ2when the denominator of s2is n . PTS: 1 REF: SECTION 10.1 NAT: Analytic; Interval Estimation  • • • 