# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 48 - 52 of 253

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## Question number: 48

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

A random sample of size 5 is drawn from a normal population with mean and . And if , , Which one is the best estimator in terms of variance?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

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

## Question number: 49

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If is the variance of a random sample from an infinite population with mean μ and finite variance . Then is -

### Choices

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

a. | Unbiased estimator of | |

b. | Biased estimator of | |

c. |
| |

d. | None of the above |

## Question number: 50

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Let be a random sample of size n from a large population with mean μ and variance . Which of the following statement is correct?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

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

## Question number: 51

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If , _is a random sample of size n, from , a statistic

is an unbiased estimator of if

### Choices

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

a. | If | |

b. | If | |

c. | If | |

d. | If |

## Question number: 52

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If an estimator of parameter , converges in probability to the true value of , then the estimator is called as

### Choices

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

a. | Biased Estimator | |

b. | Consistent estimator | |

c. | Unbiased estimator | |

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