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Calculate standard deviation for difference

Calculate the difference between the Daughters' and Mothers' Shoe sizes data given below.

Family | Daughter | Mother |

1 | 8.0 | 7.0 |

2 | 8.0 | 7.0 |

3 | 7.5 | 7.5 |

4 | 8.0 | 8.0 |

5 | 9.0 | 8.5 |

6 | 9.0 | 8.5 |

7 | 8.5 | 7.5 |

8 | 9.0 | 7.5 |

9 | 9.0 | 6.0 |

10 | 8.0 | 8.0 |

11 | 7.0 | 7.0 |

12 | 8.0 | 7.0 |

1. Calculate the standard deviation for the difference

2. Find the value of *t*.

3. The *p*-value is

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## Q : Heart attack with cholesterol level

Use a standard deviation = 30 mg/dL and find a 99% confidence interval for the average cholesterol level of all children whose father has had a heart attack with cholesterol level above 250. (Please give responses to 3 decimal places)