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 |

3 | 10 | 4 |

8 | 6 | 6 |

3 | 9 | 3 |

5 | 7 | 10 |

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

*H*_{0}:
(Click to
select) The treatment means are not all the
same. The treatment means are the same.

*H*_{1}:
(Click to
select) The treatment means are the same. The
treatment means are not all 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.

(Click to select) Reject Do not
reject *H*_{0}.

Answer #1

a)

Ho: The treatment means are the same.

Ha: The treatment means are not all the same.

b)

Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array): |

Reject *H*_{0} if the test statistic is greater
than 6.23

c)

SST =22.167

SSE =55.500

SSTotal =77.667

d)

Source | SS | df | MS | F |

treatment | 22.167 | 2 | 11.083 | 1.797 |

error | 55.500 | 9 | 6.167 | |

Total | 77.667 | 11 |

e)

since test statistic <critical value

Do not reject *H*_{0}.

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