# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 218 - 222 of 253

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## Question number: 218

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

An estimator is considered to be the best if its distribution is

### Choices

Choice (4) | Response | |
---|---|---|

a. | Concentrated about the true parameter value | |

b. | Continuous | |

c. | Normal | |

d. | Discrete |

## Question number: 219

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

If a statistic provides as much information as the random variable could provide, Then T is a ________ Statistic

### Choices

Choice (4) | Response | |
---|---|---|

a. | Sufficient | |

b. | Consistent | |

c. | Unbiased | |

d. | Efficient |

## Question number: 220

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

Confidence intervals for the parameters , of the Normal distribution having density function , in case of unknown variance , is given by

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 221

» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators

### Question

What properties of estimators are usually held by Maximum Likelihood estimators (MLE’s)?

### Choices

Choice (4) | Response | |
---|---|---|

a. | A MLE is not necessarily unique | |

b. | A MLE may not be uniformly minimum variance unbiased estimator (UMVUE) | |

c. | A MLE is not necessarily Unbiased | |

d. | All a. , b. and c. are correct |

## Question number: 222

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

### Question

In estimating the parameters of a linear function, most commonly used method of estimation is

### Choices

Choice (4) | Response | |
---|---|---|

a. | Method of minimum Variance | |

b. | Method of minimum chi-square method | |

c. | Method of moments | |

d. | Method of Least squares |