Question

Hypothesis Test:

In a blinded crossover trial, a diet of almonds and its effect on LDL-C, a group with elevated LDL-C underwent diet of increased almond intake. LDL-C measured before and after almond diet. The following LDL-C measurements were made on the 11 subjects (mg/dL):

Subject #1: pre-almond- 140, post- 143

2: 159, 136 3: 157, 130

4: 152, 142

5: 155, 131

6: 152, 144

7: 158, 116

8: 155, 136

9: 146, 130

10: 153, 125

11: 141, 138

Is there a significant mean difference between their LDL-C pre-almond and post-almond diet? Use the p-value method.

Answer #1

H0: There is no significance difference between the means of the LDL-C Pre-almond and Post-almond diet

H1: There is significance difference between the means of the LDL-C Pre-almond and Post-almond diet

Let the los be alpha = 5%

From the given data

Pre-almond | post | Difference |

140 | 143 | -3 |

159 | 136 | 23 |

157 | 130 | 27 |

152 | 142 | 10 |

155 | 131 | 24 |

152 | 144 | 8 |

158 | 116 | 42 |

155 | 136 | 19 |

146 | 130 | 16 |

153 | 125 | 28 |

141 | 138 | 3 |

P-Value: 0.0010

Since P-value < alpha 0.05 so we reject H0

Thus we conclude that there is significance difference between the means of the LDL-C Pre-almond and Post-almond diet

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