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? The sample variance for sample #1, the EE bus line is what value, expressed precisely without rounding or insignificant digits?   [A] The sample variance for sample #2, the HH bus line is what value, expressed precisely without rounding or insignificant digits?   [B]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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Question 18

   
 

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?

The sample variance for sample #1, the EE bus line is what value, expressed precisely without rounding or insignificant digits?   [A]

The sample variance for sample #2, the HH bus line is what value, expressed precisely without rounding or insignificant digits?   [B]

 

QUESTION 19

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 value of the test statistic, rounded to two decimal places, omitting the positive sign?

 

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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