# Question: the following three independent random samples are obtained from three...

###### Question details

The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study).

Group 1: Internship | Group 2: Co-op | Group 3: Work Study |
---|---|---|

10.5 | 10.75 | 9.25 |

9.75 | 11.5 | 8.5 |

12.75 | 10.5 | 12.25 |

9.75 | 10.75 | 12.75 |

10.75 | 14.25 | 9.25 |

11.75 | 14.5 | 12.25 |

9.5 | 16.25 | 11.25 |

11.75 | 12.5 | 11.25 |

Use technology to conduct a one-factor ANOVA to determine if the
group means are equal using α=0.05α=0.05.

Group means (report to 2 decimal places):

**Group 1: Internship**:

**Group 2: Co-op**:

**Group 3: Work Study**:

ANOVA summary statistics:

*F*-ratio =

*(report accurate to 3 decimal places)*

p=p=

*(report accurate to 4 decimal places)*

Conclusion:

a)There is not sufficient data to conclude the starting wages are different for the different groups.

b)The sample data suggest the average starting hourly wages are not the same.