# Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 121 - 123 of 222

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## Question number: 121

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

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

A random sample of 250 households is taken which have vegetable gardens. The average size of their gardens is 643 square feet. The calculated standard deviation is σ = 247 square feet. How can you interpret the result at 90 % for confidence interval?

### Choices

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

a. | Probability that mean size of household vegetable gardens lies in the interval 617.31 and 668.69 is 0.90 | |

b. | 617.31 and 668.69 are 90 percent confidence limits | |

c. | The length of the confidence interval is 51.38 | |

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

## Question number: 122

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

### Question

For a normal population , both sample mean and sample median are unbiased and consistent estimators of . In this case, which one will be the efficient estimator?

### Choices

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

a. | Sample mean is more efficient estimator of than the sample median. | |

b. | Sample median is more efficient estimator of than the sample mean | |

c. | Sample mean and Sample median are equally efficient | |

d. | All of the above |

## Question number: 123

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

### Question

A car manufacturing company wants to estimate the mean amount of time a worker takes to assemble the tyres. He considers a sample of 120 workers and calculated mean is 16.2 minutes. Suppose the population standard deviation is 3.6 minutes then 92 % confidence interval is given by:

### Choices

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

a. |
| |

b. |
| |

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

d. | None of the above |