# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 160 - 163 of 253

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## Question 160

### Question

MCQ▾The health organization wants to study the mean weight of Indian women of the age group 30 - 40. A sample of forty woman of that age group is randomly selected and their weights in pounds are recorded.

140 | 153 | 167 | 115 |

136 | 136 | 145 | 125 |

147 | 134 | 154 | 148 |

136 | 126 | 139 | 132 |

152 | 132 | 139 | 120 |

130 | 138 | 138 | 146 |

116 | 137 | 143 | 115 |

159 | 147 | 122 | 145 |

128 | 123 | 134 | 127 |

131 | 154 | 150 | 116 |

The calculated standard deviation is σ = 12.77. Then the 99 % confidence interval for the mean weight is

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 161

### Question

MCQ▾By the method of moments one can estimate

### Choices

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

a. | All Moments of a population distribution | |

b. | All constants of a population | |

c. | Only mean and variance of a distribution | |

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

## Question 162

### 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. | Point estimate, Standard deviation | |

b. | Critical value, Standard Error | |

c. | Control limit, variance | |

d. | None of the above |

## Question 163

### Question

MCQ▾Which of the following definitions of Sufficiency of a estimator is known as Fisher-Neyman Factorization Theorem?

### Choices

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

a. | An estimator is said to be sufficient for if it provides all the information contained in the sample about the parametric function | |

b. | If is a estimator of parameter based on a sample of size n from the population with density such that the conditional distribution of given T is independent of then T is sufficient estimator of . | |

c. | A statistic is sufficient estimator of parameter if and only if the likelihood function (joint p. d. f. of the sample) can be expressed as where is the p. d. f. of statistic and is a function of sample observations only independent of | |

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