# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 197 - 202 of 253

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## Question number: 197

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

### Question

If and are two Minimum Variance Unbiased (MVU) estimators for then

### Choices

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

a. | Either or | |

b. |
| |

c. |
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d. | All of the above |

## Question number: 198

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

### Question

For a simple linear model , the normal equations for estimating the values values of and by the method of least square will be

### Choices

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

a. | and | |

b. | and | |

c. | and | |

d. | None of the above |

## Question number: 199

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

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

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 200

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

Let be a random sample from . Then the sufficient estimator for is

### Choices

Choice (4) | Response | |
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a. |
| |

b. |
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c. |
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d. | Question does not provide sufficient data or is vague |

## Question number: 201

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

Degrees of freedom for the mean in case of large sample size is…………; and in case of for the small sample size is……. .

### Choices

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

a. | and | |

b. | and | |

c. | and | |

d. | and n |

## Question number: 202

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

In a class of consistent estimators for a parameter, which one will you consider as the most efficient estimator?

### Choices

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

a. | One whose mean is less than the other estimators. | |

b. | One whose mean and variance both are less than the other estimators. | |

c. | One whose sampling variance is less than the other estimators. | |

d. | None of the above |