# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 43 - 47 of 253

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## Question number: 43

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If , then which of the following is true?

### Choices

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

a. | is a biased estimator of | |

b. |
| |

c. | is a Unbiased estimator | |

d. | None of the above |

## Question number: 44

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If the mean of the estimator is not equal to the population parameter, the estimator is said to be:

### Choices

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

a. | Unbiased | |

b. | Negatively biased | |

c. | Biased | |

d. | Positively biased |

## Question number: 45

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If is a random sample from a Bernoulli population with parameter , then is

### Choices

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

a. | An unbiased estimator of | |

b. | A biased estimator of | |

c. | An unbiased estimator of +1 | |

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

## Question number: 46

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

If are normally distributed random variables with mean μ and variance , then sample variance is

### Choices

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

a. | Not an unbiased estimate of population variance | |

b. | Unbiased estimate of population variance | |

c. |
| |

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

## Question number: 47

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Let be a random sample from a uniform population on [0, ]. Then the sufficient estimator for is

### Choices

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

a. |
| |

b. |
| |

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

d. | All of the above |