Question

A national police organization is lobbying congress for funding to hire more police officers in cities nationwide. One of its arguments is that officers, on average, work significantly longer than full time duty assuming full time is u=40 hours per week. A sample of n=9 officers from a medium sized city had the following work hours last week.

43, 45, 48, 41, 45, 50, 50, 53, 48

Do these data support the claim of the national police group?

PLEASE SHOW ANY AND ALL WORK! I am struggling with the logical progression of these types of problems. Thank you!

Use a one-tailed test of a=.05 with the s_{m}=1.27

a) state the null hypothesis. Show it in symbols.

b) State the research alternative hypothesis. Show it in symbols.

c) What critical value of t is associated with this sigma level?

d) The sample mean is equal to what?

e) The test statistic (t) value is equal to what?

f) What conclusion can be reached about the null hypothesis?

Answer #1

Values ( X ) | ||

43 | 16 | |

45 | 4 | |

48 | 1 | |

41 | 36 | |

45 | 4 | |

50 | 9 | |

50 | 9 | |

53 | 36 | |

48 | 1 | |

Total | 423 | 116 |

To Test :-

H0 :-

H1 :-

Test Statistic :-

t = 5.5149

Test Criteria :-

Reject null hypothesis
if

Result :- Reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

There is sufficient evidence to support the claim that on average, work significantly longer than full time duty assuming full time is u=40 hours per week.

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