Question

In an effort to better manage his inventory levels, the owner of a restaurant chain, wants to know which one of his locations sells more halibut fillets on average. In order to find out, he takes a random sample of seven days worth of sales from each location. The data is shown below:

Observation # | North side # Fillets sold | South side # Fillets sold |

1 | 1 | 10 |

2 | 5 | 5 |

3 | 8 | 4 |

4 | 4 | 7 |

5 | 2 | 9 |

6 | 4 | 4 |

7 | 10 | 10 |

Average | 4.86 | 7 |

Standard dev (s) | 3.18 |
2.71 |

Test to see if the south side location sells more halibut fillets on average than the north side location. Use alpha=0.05.

Answer #1

H0: Null Hypothesis:

HA:Alternative Hypothesis:

Test statistic is:

t = (4.86 - 7.00)/1.5792 = - 1.36

= 0.05

ndf = n1+n2 - 2 = 7 + 7 - 2 = 12

One Tail Test - Let Side

From Table, critical value of t = - 1.7823

Since the calculated value of t = - 1.36 is greater than critical value of t = - 1.7823, the difference is not significant. Fail to reject null hypothesis.

Conclusion:

The data do not support the claim that the south side location sells more halibut fillets on average than the north side location.

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