# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 136 - 142 of 253

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## Question 136

### Question

MCQ▾It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 137

### Question

MCQ▾It is given that , and . Then the 95 % Confidence Interval for is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 138

### Question

MCQ▾If and are two estimators for , such that and , then

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | Either or | |

d. | None of the above |

## Question 139

### Question

MCQ▾Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:

### Choices

Choice (4) | Response | |
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a. | Equally Efficient | |

b. | More Efficient | |

c. | Less Efficient | |

d. | All of the above |

## Question 140

### Question

MCQ▾Which of the following options is appropriate for the Cramer-Rao Inequality, where

is an unbiased estimator -

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Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 141

### Question

MCQ▾For a normal population , the variance of the sample mean and sample variance are given . Then the efficiency of median against mean is

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Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 142

### Question

MCQ▾The Government conducts national survey to study about the home gardening.

A random sample of 250 households is taken, which have their own vegetable gardens. The average size of their gardens is 643 sq. ft. The calculated standard deviation is σ = 247 sq. ft. Then 90 % confidence interval for the mean size µ, of all household vegetable gardens is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |