# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 114 - 118 of 253

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## Question 114

### Question

MCQ▾Suppose we want to estimate the mean amount of money spent by students on some project in a year. We have the following data of 10 randomly selected students. and calculated sample mean is 249 ₹ and standard deviation is 30 ₹ 95 % Confidence interval for is:

### Choices

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

a. | 256.89±290.68 | |

b. | ||

c. | ||

d. |

## Question 115

### Question

MCQ▾Let be a random sample from a density function . A statistics

is said to be sufficient statistics if the conditional distribution of given T

### Choices

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

a. | Independent of | |

b. | Dependent of | |

c. | Independent of S | |

d. | Dependent of |

## Question 116

### Question

MCQ▾Method of least squares consists of

### Choices

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

a. | Minimizing the sum of squares of residuals | |

b. | Maximizing the sum of squares of residuals | |

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

d. | None of the above |

## Question 117

### Question

MCQ▾If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is … of for any value of

### Choices

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

a. | Dependent | |

b. | Either dependent or Independent | |

c. | Independent | |

d. | All of the above |

## Question 118

### Question

MCQ▾is sufficient for if and only if the joint density function , of the sample values can be expressed in the form

where depends on and only through the value of and is independent of . This Theorem is known as

### Choices

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

a. | Factorization Theorem | |

b. | Blackwell Theorem | |

c. | Rao-Blackwell Theorem | |

d. | Cramer-Rao Theorem |