# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 176 - 179 of 222

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## Question number: 176

» 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: 177

» 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 n | |

b. | and | |

c. | and | |

d. | and |

## Question number: 178

» 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 and variance both are less than the other estimators. | |

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

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

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

## Question number: 179

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

It is given that , , . Then the Confidence Interval at is given by

### Choices

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

a. |
| |

b. |
| |

c. | Both a. and b. are correct | |

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