## Answers

Answer:

Given test statistic = 1.91

Given degrees of freedom= 20

This is an upper tail test.

Critical values at 0.01 level = 2.528

Test statistic is < critical value.

Ho is not rejected at 0.01 level of significance.

Therefore we write the p value as : P > 0.01

Excel Analysis for the data:

Pooled-Variance | |

(assumes equal population variances) | |

Data | |

Hypothesized Difference | 0 |

Level of Significance | 0.01 |

Population 1 Sample | |

Sample Size | 10 |

Sample Mean | 6.54 |

Sample Standard Deviation | 2.65 |

Population 2 Sample | |

Sample Size | 13 |

Sample Mean | 4.75 |

Sample Standard Deviation | 1.85 |

Intermediate Calculations | |

Population 1 Sample Degrees of Freedom | 9 |

Population 2 Sample Degrees of Freedom | 12 |

Total Degrees of Freedom | 21 |

Pooled Variance | 4.9654 |

Standard Error | 0.9373 |

Difference in Sample Means | 1.7900 |

| 1.9098 |

Upper-Tail Test | |

Upper Critical Value | 2.5176 |

| 0.0350 |

Do not reject the null hypothesis |