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# MATH 153 Chapter 9

### Confidence Intervals

Question | Answer |
---|---|

What does alpha represent? | confidence level |

What is the denotation for level of confidence? | (1-𝛂) • 100% |

What does the Central Limit Theorem State? | Regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. |

True or False. The population proportion and sample proportion always have the same value. | False |

What type of variable is required to construct a confidence interval for a population proportion? | qualitative with two possible outcomes |

How do you compute t 𝛂/2 ? | n-1 degrees of freedom |

How do you calculate the lower bound? | p hat - margin of error |

How do you calculate the upper bound? | p hat + margin of error |

The smaller the interval, the _______________ the confidence level. | lower |

A ___________ _____________ is the value of a statistic that estimates the value of a parameter. | point, estimate |

The _________________________ represents the expected proportion of intervals that will contain the parameter if a large number of different samples of size n is obtained. It is denoted ________________________. | level of confidence, (1-alpha)x100% |

The procedure for constructing a confidence interval about a mean is ____________, which means minor departures from normality do not affect the accuracy of the interval. | robust |

True of false: The mean of the sampling distribution of p hat is p. | True |

True or false: The population proportion and sample proportion always have the same value. | False |

The standard deviation of the sampling distribution of x bar, denoted σx bar, is called the _____________ __________ of the _________. | standard, error, mean |

True of false: The distribution of the sample mean, x bar, will be normally distributed if the sample is obtained from a population that is normally distributed, regardless of the sample size. | True |

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