MCQ INTERVAL ESTIMATION
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1 MCQ INTERVAL ESTIMATION MCQ 12.1 Estimation is possible only in case of a: (a) Parameter (b) Sample (c) Random sample (d) Population MCQ 12.2 Estimation is of two types: (a) One sided and two sided (c) Point estimation and interval estimation (b) Type I and type II (d) Biased and unbiased MCQ 12.3 A formula or rule used for estimating the parameter is called: (a) Estimation (b) Estimate (c) Estimator (d) Interval estimate MCQ 12.4 A value of an estimator is called: (a) Estimation (b) Estimate (c) Variable (d) Constant MCQ 12.5 Estimate and estimator are: (a) Same (b) Different (c) Maximum (d) Minimum MCQ 12.6 The type of estimates are: (a) Point estimate (b) Interval estimates (c) Estimation of confidence region (d) All of the above MCQ 12.7 Estimate is the observed value of an: (a) Unbiased estimator (b) Estimator (c) Estimation (d) Interval estimation MCQ 12.8 The process of using sample data to estimate the values of unknown population parameter is called: (a) Estimate (b) Estimator (c) Estimation (d) Interval estimation MCQ 12.9 The process of making estimates about the population parameter from a sample is called: (a) Statistical independence (b) Statistical inference (c) Statistical hypothesis (d) Statistical decision MCQ Statistical inference has two branches namely: (a) Level of confidence and degrees of freedom (b) Biased estimator and unbiased estimator (c) Point estimator and unbiased estimator (d) Estimation of parameter and testing of hypothesis MCQ A specific value calculated from sample is called: (a) Estimator (b) Estimate (c) Estimation (d) Bias
2 MCQ An estimator is a random variable because it varies from: (a) Population to sample (b) Population to population (c) Sample to sample (d) Sample to population MCQ Statistic is an estimator and its calculated value is called: (a) Biased estimate (b) Estimation (c) Estimator (d) Interval estimate MCQ The numerical value which we determine from the sample for population parameter is called: (a) Estimation (b) Estimate (c) Estimator (d) Confidence coefficient MCQ A single value used to estimate a population values is called: (a) Interval estimate (b) Point estimate (c) Level of confidence (d) Degrees of freedom MCQ An interval calculated from the sample data and it is likely to contain the value of parameter with some probability is called: (a) Interval estimate (b) Point estimate (c) Confidence interval (d) Level of confidence MCQ A range of values within which the population parameter is expected to occur is called: (a) Confidence coefficient (b) Confidence interval (c) Confidence limits (d) Level of significance MCQ Interval estimate is determined in terms of: (a) Sampling error (b) Error of estimation (c) Confidence coefficient (d) Degrees of freedom MCQ The level of confidence is denoted by: (a) α (b) β (c) 1 - α (d) 1 - β MCQ The end points of a confidence interval are called: (a) Confidence coefficient (b) Confidence limits (c) Error of estimation (d) Parameters MCQ The probability associated with confidence interval is called: (a) Level of confidence (b) Confidence coefficient (c) Both (a) and (b) (d) Confidence limits MCQ If the mean of the estimator is not equal to the population parameter, the estimator is said to be: (a) Unbiased (b) Biased (c) Positively biased (d) Negatively biased MCQ The difference between the expected value of an estimator and the value of the corresponding parameter is called: (a) Bias (b) Sampling error (c) Error of estimation (d) Standard error
3 MCQ Bias of an estimator can be: (a) Negative (b) Positive (c) Zero (d) Both (a) or (b) MCQ If is the estimator of the parameter, then is called unbiased if: (a) (b) (c) (d) MCQ Estimates given in the form of confidence intervals are called: (a) Point estimates (b) Interval estimates (c) Confidence limits (d) Degree of freedom MCQ Interval estimate is associated with: (a) Probability (b) Non-probability (c) Range of values (d) Number of parameters MCQ The point estimator of population mean µ is: (a) Sample mean (b) Sample variance (c) Sample standard deviation (d) Sample size MCQ (1 α) is called: (a) Critical value (b) Level of significance (c) Level of confidence (d) Interval estimate MCQ If (1 α) is increased, the width of a confidence interval is: (a) Decreased (b) Increased (c) Constant (d) Same MCQ By decreasing the sample size, the confidence interval becomes: (a) Narrower (b) Wider (c) Fixed (d) All of the above MCQ Confidence interval become narrow by increasing the: (a) Sample size (b) Population size (c) Level of confidence (d) Degrees of freedom MCQ By increasing the sample size, the precision of confidence interval is: (a) Increased (b) Decreased (c) Same (d) Unchanged MCQ A function for estimating a parameter is called as: (a) Estimator (b) Estimate (c) Estimation (d) Level of confidence MCQ A sample constant representing a population parameter is known as: (a) Estimation (b) Estimator (c) Estimate (d) Bias MCQ The distance between an estimate and the estimated parameter is called: (a) Sampling error (b) Error of estimation (c) Bias (d) Standard error
4 MCQ Standard error is the standard deviation of the sampling distribution of an: (a) Estimate (b) Estimation (c) Estimator (d) Error of estimation MCQ X i / n for i=1,2,3,.,n is called: (a) Estimation (b) Estimate (c) Estimator (d) Interval estimate MCQ A statistic is an unbiased estimator of a parameter if: (a) E(statistic)=parameter (b) E(mean)=variance (c) E(variance)=mean (d) E(sample mean)=proportion MCQ The following statistics are unbiased estimators: (a) The sample mean (c) The sample proportion MCQ Which of the following is biased estimator? (b) The sample variance (d) All the above MCQ The number of values that are free to vary after we have placed certain restrictions upon the data is called: (a) Degrees of freedom (b) Confidence coefficient (c) Number of parameters (d) Number of samples MCQ If the observations are paired and the number of pairs is n, then degree of freedom is equal to: (a) n (b) n 1 (c) n 1 + n 2 2 (d) n/2 MCQ In t-distribution for two independent samples n 1 = n 2 = n, then the degrees of freedom is equal to: (a) 2n 1 (b) 2n 2 (c) 2n + 1 (d) n 1 MCQ If the population standard deviation σ is unknown, and the sample size is small i.e.; n 30, the confidence interval for the population mean µ is based on (a) The t-distribution (b) The normal distribution (c) The binomial distribution (d) The hypergeometric distribution MCQ The shape of the t-distribution depends upon the: (a) Sample size (b) Population size (c) Parameters (d) Degrees of freedom MCQ If the population standard deviation σ is known, the confidence interval for the population mean µ is based on: (a) The Poisson distribution (b) The t-distribution (c) The X 2 -distribution (d) The normal distribution
5 MCQ A statistician calculates a 95% confidence interval for µ when σ is known. The confidence interval is Rs to Rs , the amount of the sample mean is: (a) Rs (b) Rs (c) Rs (d) Rs MCQ A student calculates a 90% confidence interval for population mean when population standard deviation σ is unknown and n = 9. The confidence interval is cents to 64.3 cents, the sample mean is: (a) 40 (b) (c) 64.3 (d) 20 MCQ A 95% confidence interval for population proportion p is 32.4% to 47.6%, the value of sample proportion (a) 40% (b) 32.4% (c) 47.6% (d) 80% is: MCQ A confidence interval will be widened if: (a) The confidence level is increased and the sample size is reduced (b) The confidence level is increased and the sample size is increased (c) The confidence level is decreased and the sample size is increased (d) The confidence level is decreased and the sample size is decreased MCQ A 95% confidence interval for the mean of a population is such that: (a) It contains 95% of the values in the population (b) There is a 95% chance that it contains all the values in the population. (c) There is a 95% chance that it contains the mean of the population (d) There is a 95% chance that it contains the standard deviation of the population MCQ If the population standard deviation σ is doubles, the width of the confidence interval for the population mean µ (i.e.; the upper limit of the confidence interval lower limit of the confidence interval) will be: (a) Divided by 2 (b) Multiplied by (c) Doubled (d) Decrease MCQ If α = 0.10 and n = 15; equals: (a) (b) (c) (d) MCQ If n 1 = 16, n 2 = 9 and α = 0.01; equals: (a) (b) (c) (d) MCQ If 1 α = 0.90, then value of is: (a) 1.96 (b) (c) (d) 2.326
6 MCQ If the population standard deviation σ is known and the sample size n is less than or equal to or more than 30, the confidence interval for the population mean µ is: MCQ If the population standard deviation σ is unknown and the sample size n is greater than 30, the confidence interval for the population mean µ is: MCQ If the population standard deviation σ is unknown and the sample size n is less than or equal to 30, the confidence interval for the population mean is: MCQ If we have normal populations with known population standard deviations σ 1 and σ 2, the confidence interval estimate for the difference between two population means is: MCQ If the population standard deviations σ 1 and σ 2 are unknown and sample sizes n 1, n 2 30, the100 (1 α)% confidence interval for is: MCQ If the sample size is large, the confidence interval estimate of a population proportion p is:
7 MCQ If n 1, n 2 30, the confidence interval estimate for the difference of two population means population standard deviation σ 1, σ 2 are unknown but equal in case of pooled variates is: when MCQ The confidence interval estimate for the difference of two population means observations small sample (n 30) is: in case of paired MCQ If the sample size is large, the confidence interval estimate for the difference between two population proportions p 1 p 2 is:
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