# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 189 - 192 of 253

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## Question number: 189

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

90 % Confidence Interval for if a sample of size 1029, where

and

### Choices

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

a. |
| |

b. |
| |

c. |
| |

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

## Question number: 190

» Statistical Inference and Hypothesis Testing » Factorization Theorem

### Question

If is a statistics for a parameter of the density function and for i = 1,2, …, n can be factorized as , Then is a ________

### Choices

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

a. | Unbiased Estimator | |

b. | Consistent Estimator | |

c. | Sufficient Estimator | |

d. | Efficient Estimator |

## Question number: 191

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

What is the value of used in a 93 % confidence interval?

### Choices

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

a. | 1.81 | |

b. | 1.40 | |

c. | 1.96 | |

d. | 2.48 |

## Question number: 192

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

The health organization wants to study the mean weight of the 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. What can you interpret from the 90 % and 99 % confidence interval for the mean weight?

### Choices

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

a. | The length of the 90 % confidence interval is more compared to 99 % interval | |

b. | The length of the 99 % confidence interval is more compared to 90 % interval | |

c. | None of the above | |

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