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# Elem Stats ch 6

### A Brief Version: Elementary Statistics Ch 6

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

Symmetric Distribution | When the data values are evenly distributed about the mean (normal distribution). |

Negatively or Left-Skewed Distribution | When the majority of the data values fall to the right of the mean. |

Positively or Right-Skewed Distribution | When the majority of the data values fall to the left of the mean. |

Normal Distribution | A continuous symmetric, bell-shaped distribution of a variable |

Standard Normal Distribution | A normal distribution with a mean of 0 and a standard deviation of 1. |

For a Standard Normal Distribution Z = | (value-mean) / standard deviation |

Sampling Distribution of Sample Means | A distribution using the means computed from all possible random samples of a specific size taken from a population. |

Sampling Error | The difference between the sample measure and the corresponding population measure due to the fact the sampling is not a perfect representation of the population. |

What are the properties of distribution of sample means? | The mean will be the same as the population mean. The standard deviation of the sample means will be smaller than the standard deviation of the population & it will be = to the population standard deviation divided by the square root of the sample size. |

Central Limit Theorem | As the sample size n increases without limit, the shape of the distribution of the sample mean taken with replacement from a population with mu and standard deviation sigma will approach a normal distribution. |

Correction Factor | Is necessary for computing the standard error of the mean for samples drawn without replacement from a finite population. |

Correction for Continuity | A correction employed when a continuous distribution is used to approximate a discrete distribution |

The Mean for the Binomial Distribution is (mu) = | n * p |

The Standard Deviation for the Binomial Distribution is (sigma) = | The square root of (n * p * q). |

q = | 1 - p |

Created by:
dengler