# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 92 - 95 of 222

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## Question number: 92

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

### Question

Method of least squares consists of

### Choices

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

a. | Minimizing the sum of squares of residuals | |

b. | Maximizing the sum of squares of residuals | |

c. | All of the above | |

d. | None of the above |

## Question number: 93

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

### Question

If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is ………. of for any value of

### Choices

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

a. | Dependent | |

b. | Either dependent or Independent | |

c. | Independent | |

d. | All of the above |

## Question number: 94

» Statistical Inference and Hypothesis Testing » Factorization Theorem

### Question

is sufficient for if and only if the joint density function , of the sample values can be expressed in the form

where depends on and only through the value of and is independent of . This Theorem is known as

### Choices

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

a. | Blackwell Theorem | |

b. | Rao-Blackwell Theorem | |

c. | Factorization Theorem | |

d. | Cramer-Rao Theorem |

## Question number: 95

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Efficiency of sample mean as compared to median as an estimate of the mean of a normal population is

### Choices

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

a. | 64 percent | |

b. | 157 percent | |

c. | 360 percent | |

d. | 22 percent |