Problem 3 CRE

Heights of Mothers and Daughters. In Exercises, use the following heights (in.) of mothers, fathers, and their adult daughters. The data are matched so that each column consists of heights from the same family.

Confidence Interval Construct a 95% confidence interval estimate of the mean height of daughters. Write a brief statement that interprets the confidence interval.

Answer :

Step 1 :

Given, heights (in.) of mothers, fathers, and their adult daughters. The data are matched so that each column consists of heights from the same family.

Mother | Daughter | Difference (d) | |

63 | 62.2 | 0.8 | |

67 | 67.2 | -0.2 | |

62 | 63.4 | -1.4 | |

69 | 68.4 | 0.6 | |

63 | 62.2 | 0.8 | |

64 | 64.7 | -0.7 | |

63 | 59.6 | 3.4 | |

64 | 61 | 3 | |

60 | 64 | -4 | |

65 | 65.4 | -0.4 | |

Sum | 1.9 | ||

Average | 0.19 |

The claim is to find the 95% confidence interval

Now, the mean value is given by,

=

And the Standard deviation is