# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 21 - 24 of 222

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## Question number: 21

» 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. | None of the above |

## Question number: 22

» 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. | Unbiased estimate of population variance | |

b. |
| |

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

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

## Question number: 23

» 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 |

## Question number: 24

» 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. | All of the above |