# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 44 - 48 of 253

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## Question 44

### Question

MCQ▾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 45

### Question

MCQ▾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 46

### Question

MCQ▾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 47

### Question

MCQ▾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 48

### Question

MCQ▾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 |