# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 39 - 43 of 222

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to **246** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

## Question number: 39

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

A statistic is biased if the mean of the sampling distribution of the statistic is

### Choices

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

a. | Equal to the parameter | |

b. | Not equal to the parameter. | |

c. | Less than the parameter | |

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

## Question number: 40

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

### Question

The mean of a random sample is always a consistent estimator of the population mean μ. This statement is

### Choices

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

a. | True for all distributions | |

b. | False | |

c. | True only for Bernoulli distribution | |

d. | All of the above |

## Question number: 41

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

If T is the MLE of and is one to one function of , then is the MLE of . This is known as the

### Choices

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

a. | Asymptotic Normality of MLE | |

b. | Consistency property of MLE | |

c. | Invariance property of MLE | |

d. | None of the above |

## Question number: 42

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

### Question

If

Where is any other unbiased estimator of . Then the statistic is known as

### Choices

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

a. | Minimum Variance Unbiased Estimator (MVUE) | |

b. | Sufficient Estimator | |

c. | Efficient Estimator | |

d. | Consistent Estimator |

## Question number: 43

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

### Question

In a random sampling from Normal population the likelihood estimators of mean and variance are

### Choices

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

a. | Variance is Unbiased | |

b. | Mean is biased | |

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

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