## Answers

score(x_{i}) | difference=xi-μ̃ | Sign |

91 | 24 | + |

42 | -25 | - |

39 | -28 | - |

62 | -5 | - |

55 | -12 | - |

82 | 15 | + |

67 | 0 | 0 |

44 | -23 | - |

51 | -16 | - |

77 | 10 | + |

61 | -6 | - |

52 | -15 | - |

76 | 9 | + |

85 | 18 | + |

64 | -3 | - |

n | = | 14 |

positive signs ("+") = | 5 |

P(getting 5 or less +ve signs out of 14 given p=0.5):

p value = | 2*P(T<=5)= | 0.4240 |

**Correct option is: None of the answers provided here**

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