# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 105 - 109 of 222

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## Question number: 105

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

If we increase the sample size and confidence interval at the same time then the length of the Confidence interval become

### Choices

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

a. | More | |

b. | Cannot be determined from the given information | |

c. | Remains the same | |

d. | Smaller |

## Question number: 106

» Statistical Inference and Hypothesis Testing » Complete Statistics

### Question

If is a family of distributions and is any statistic such that , then is called as

### Choices

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

a. | Sufficient Statistics | |

b. | Efficient Statistics | |

c. | Complete Statistics | |

d. | Consistent Estimator |

## Question number: 107

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

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. | Control limit, variance | |

c. | Point estimate, Standard Error | |

d. | All of the above |

## Question number: 108

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

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. | Unbiased estimator | |

b. | Consistent estimator | |

c. | Biased estimator | |

d. | Sufficient estimator |

## Question number: 109

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

### Question

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

c. | MVUE is unique | |

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