Question

*A large university is well known for both its business
school and its mechanical engineering program. The dean of career
services wants to know if there is a difference in starting job
salary between recently graduated business majors and mechanical
engineering majors. Assume that the population standard deviation
of the business majors' starting salaries is $12,000 and the
population standard deviation of the mechanical engineering majors'
starting salaries is $7,000, and that the starting salaries for
both majors are normally distributed. Let the business majors'
salaries be the first sample, and let the mechanical engineering
majors' salaries be the second sample.*

*A researcher conducts a two-mean hypothesis test at the 0.05
level of significance, to test if there is evidence of a difference
in average annual starting salary.*

*(a) H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.*

Business Majors |
Mechanical Engineering Majors |

63000 |
64000 |

38000 |
79000 |

74000 |
58000 |

64000 |
75000 |

64000 |
59000 |

65000 |
68000 |

65000 |
74000 |

46000 |
71000 |

63000 |
67000 |

36000 |
68000 |

The above table shows the starting annual salaries for a random sample of 10 business majors and 10 mechanical engineering majors from the most recent graduating class.

(b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if the means are different. Identify the test statistic, z, and p-value from the calculator output. Round the test statistic to two decimal places and the p-value to three decimal places.

Provide your answer below:

test statistic = , p-value =

Answer #1

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