# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 33 - 37 of 253

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## Question number: 33

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

In sampling from a population, the sample mean is a consistent estimator of

### Choices

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

a. | +1 | |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 34

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Let be random sample from a population with mean . Then is

### Choices

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

a. | Unbiased estimator of | |

b. | Unbiased estimator of | |

c. | Biased estimator of | |

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

## Question number: 35

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Let be a random sample of size n = 3 from a distribution with mean and variance . If , and . Which one is the best estimator in terms of variance?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 36

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Let be a random sample of size n with mean and variance Then which of the following statements is true?

### Choices

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

a. | The sample mean and sample variance are biased estimators | |

b. | The sample mean and sample variance are unbiased estimators of the mean and variance of the underlying distribution. | |

c. | Sample mean is unbiased estimator and sample variance is biased estimator. | |

d. | None of the above |

## Question number: 37

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

Bias of an estimator can be:

### Choices

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

a. | Zero | |

b. | Positive | |

c. | Negative | |

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