# Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator [ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)]: Questions 1 - 7 of 54

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## Question 1

### Question

MCQ▾If and are two unbiased estimators of . Then

is a

### Choices

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

a. | Negatively biased estimator | |

b. | Positively biased estimator | |

c. | Unbiased estimator | |

d. | Biased estimator |

## Question 2

### Question

MCQ▾A function for estimating a parameter is called as:

### Choices

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

a. | Estimate | |

b. | Statistic | |

c. | Estimation | |

d. | Estimator |

## Question 3

### Question

MCQ▾If are normally distributed random variables with mean μ and variance , Then the unbiased estimator of is -

### Choices

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

a. | ||

b. | ||

c. | None of the above | |

d. | All of the above |

## Question 4

### Question

MCQ▾Suppose we have two consistent estimators and of a parameter , then is more efficient than if

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 5

### Question

MCQ▾A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 6

### Question

MCQ▾Let be a random sample from Bernoulli population with parameter , . If ,

### Choices

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

a. | The conditional distribution does not depend on | |

b. | Is Sufficient for | |

c. | Is not sufficient for | |

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

## Question 7

### Question

MCQ▾If T is an unbiased estimator for , then is

### Choices

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

a. | Biased estimator of | |

b. | Unbiased estimator | |

c. | None of the above | |

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