Consider the following context:
Two bus lines,Essex Express (EE) andHudson Heights (HH), operate along the same route. The city's transit chief is concerned thatEE may havesignificantlygreater variability thanHH in terms of arrival times at a main transfer point downtown. A random sample of 20 (n1) arrivals byEE buses resulted in a sample standard deviation (s1) of 1.7 minutes, whereas a random sample of 25 (n2) arrivals byHH 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, thatEE buses are far more variable in their arrival times thanHH 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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