Question

The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.02 significance level.

Treatment 1 |
Treatment 2 |
Treatment 3 |

7 | 2 | 5 |

8 | 3 | 7 |

6 | 5 | 10 |

7 | 3 | 6 |

**a.** State the null hypothesis and the alternate
hypothesis.

*H*_{0}:
(The treatment
means are not all the same or The treatment means are the
same?)

*H*_{1}:
(The treatment
means are not all the same or The treatment means are the
same?)

**b.** What is the decision rule? **(Round
the final answer to 2 decimal places.)**

Reject *H*_{0} if the test statistic is greater
than __________

**c.** Compute SST, SSE, and SS total.
**(Round the final answers to 3 decimal places.)**

SST =

SSE =

SS total =

**d.** Complete the ANOVA table. **(Round the
SS, MS, and F values to 3 decimal places.)**

Source |
SS |
DF |
MS |
F |

Treatment | ||||

Error | ||||

Total | ||||

**e.** State your decision regarding the null
hypothesis.

(Do not reject or
Reject?) *H*_{0}.

Answer #1

Using Excel<data<data analysis< one-way ANOVA test

a)

*H*0: Null hypothesis: The treatment means are the
same

*H*1: Alternate hypothesis: The treatment means are not
all the same

b) Reject *H*0 if the test statistic is greater than
6.23.

c)

SST | 37.500 |

SSE | 20.750 |

SS Total | 58.250 |

d)

ANOVA table | ||||

Source |
SS |
df |
MS |
F |

Treatment | 37.500 | 2 | 18.750 | 8.133 |

Error | 20.750 | 9 | 2.306 | |

Total | 58.250 | 11 |

e) Reject H0 [Because p-value less than alpha]

The following is sample information. Test the hypothesis that
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Treatment 1
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10
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