# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 131 - 135 of 253

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## Question 131

### Question

MCQ▾Consider the general form of confidence interval for the mean .

In this expression is known as … and is known as …

### Choices

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

a. | Critical value, Standard Deviation | |

b. | Point estimate, Critical Value - standard error | |

c. | Control limit, variance | |

d. | All of the above |

## Question 132

### Question

MCQ▾If the expected value of an estimator is not equal to its parametric function , it is said to be a

### Choices

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

a. | Sufficient estimator | |

b. | Unbiased estimator | |

c. | Consistent estimator | |

d. | Biased estimator |

## Question 133

### Question

MCQ▾Which of the following results are true for Minimum Variance Unbiased Estimator (MVUE) -

### Choices

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

a. | If nd are MVUE of and then will be an MVUE of | |

b. | MVUE is unique | |

c. | The correlation coefficient between a most efficient estimator and any other estimator with efficiency is . | |

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

## Question 134

### Question

MCQ▾If an estimator of population parameter converges in probability to as n tends to infinity is said to be

### Choices

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

a. | Consistent | |

b. | Unbiased | |

c. | Sufficient | |

d. | Efficient |

## Question 135

### Question

MCQ▾Which of the following properties of MLE is not correct?

### Choices

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

a. | MLE is always unique | |

b. | If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators. | |

c. | If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it. | |

d. | When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal. |