# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 176 - 180 of 253

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## Question 176

### Question

MCQ▾Rao-Blackwell Theorem enables us to obtain MVUE through:

### Choices

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

a. | Sufficient statistics | |

b. | Unbiased Estimator | |

c. | Complete Statistics | |

d. | Efficient statistics |

## Question 177

### Question

MCQ▾A 95 % confidence interval is shown as . This means

### Choices

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

a. | Probability that lies in the interval 60.84 and 96.5 is 0.95 | |

b. | The length of the confidence interval is 35.66 | |

c. | 60.84 and 96.5 are 95 percent confidence limits | |

d. | All a., b. and c. are correct |

## Question 178

### Question

MCQ▾If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by

all

### Choices

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

a. | for all | |

b. | for all | |

c. | for all | |

d. | for all |

## Question 179

### Question

MCQ▾In a college survey, children were asked how many hours they study per day. A sample of 22 children is collected. The mean was 3.25 hours with a standard deviation of 1.57 hours. Then 95 % and 99 % confidence interval for the number of hours of study per day is

### Choices

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

a. | and | |

b. | and | |

c. | and | |

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

## Question 180

### Question

MCQ▾A statistic is called as ________ Estimator for the parameter θ, if the conditional distribution of given T does not depend on θ.

### Choices

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

a. | Sufficient | |

b. | Maximum Likelihood estimator | |

c. | Efficient | |

d. | Unbiased |