Information regarding the starting salaries (in $1,000) of samples of students in four different majors is given below.

**Majors**

Management | Marketing | Finance | Accounting | |

Sample size | 12 | 10 | 9 | 14 |

Average | 26 | 31 | 22 | 25 |

Sample variance | 10 | 7 | 15 | 9 |

a. | Compute the overall sample mean . |

b. | Set up the ANOVA table for this problem including the test statistic. |

c. | At 95% confidence, determine the critical value of F. |

d. | Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. |

e. | Determine the p-value and use it for the test. |