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# STAT 10-05-16

### Variables (Test 1)

Term | Definition |
---|---|

Test for independence | association |

Ho (null hypothesis) | the two variables are independent (no association) |

Ha (alternative hypothesis) | the two variables are dependent (association) |

Small p-value supports | Ha (typically <= 0.05) |

Large p-value supports | Ho |

Expected table | contains values we'd expect to see if variables are independent |

To get expected counts in the table, for each cell | (Row total * Column total) / Table total |

Chi-Squared test | =CHISQ.TEST(actual range, expected range) |

Minitab-->Graph-->Probability distribution plot | Picture of distribution |

Normal distribution | symmetrical bell curve |

The normal distribution stays | continuous |

The normal distribution is always | positive |

In the normal distribution, the probability of being any one specific value is | zero |

Calculating probabilities | use technology |

In the normal distribution, the probability of being in an interval is | the area under the curve in that interval |

~ | is distributed as |

N | normal |

First number in parentheses | mean |

Second number in parentheses | variance |

P | probability |

Calculating probability in minitab | Graph-->Probability distribution-->Shaded area-->X-value |

Excel random number generator | rand() |

P(0<x<1) | probability x is between 0 and 1 |

Area of a line | 0 |

Convert variance to standard deviation | Variance = square root(standard deviation) |

Suppose X~N(3, 16), P(x > 3.5) = | 0.4503 |

Suppose X~N(3, 16), P(x > -2) = | 0.8544 |

Suppose X~N(3, 16), P(-1 < x < 7) = | 0.6827 |

Created by:
Spencer Gowey