What is the critical value utilizing the level of significance and the numerator and denominator degrees of freedom,

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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QUESTION 22

  1. Consider the following context: 

    Two bus lines, Essex Express (EE) and Hudson Heights (HH), operate along the same route.  The city's transit chief is concerned that EE may have significantly greater variability than HH in terms of arrival times at a main transfer point downtown.  A random sample of 20 (n1) arrivals by EE buses resulted in a sample standard deviation (s1) of 1.7 minutes, whereas a random sample of 25 (n2) arrivals by HH buses yielded a sample standard deviation (s2) of 1.2 minutes.  Presume that arrival times for both bus lines are essentially normally distributed.  Is there sufficient evidence, at the 0.05 level of significance, that EE buses are far more variable in their arrival times than HH buses?

    What is the critical value utilizing the level of significance and the numerator and denominator degrees of freedom, rounded to two decimal places, omitting the positive sign?

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