A person can take either of two routes to work, through Matteson or Richton Park
ID: 3056433 • Letter: A
Question
A person can take either of two routes to work, through Matteson or Richton Park. Both take on average 35 minutes, and travel times are Normally distributed. But are the variances of the travel times different? A random sample with n = 8 from Matteson route and n = 6 from Richton Park route showed a variance of 40 (units: square minutes) and 30 respectively. To test whether the variances are different, the following test of hypothesis should be done: H0: sigma subscript 1 superscript 2 space equals space sigma subscript 2 superscript 2 H1: sigma subscript 1 superscript 2 space not equal to space sigma subscript 2 superscript 2 What is the value of the test statistic?
Explanation / Answer
The statistical software output for this problem is:
Two sample variance summary hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 1
Hypothesis test results:
Hence,
Test statistic = 1.33 [Rounded off to 2 decimal places]
Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 7 5 1.3333333 1.3333333 0.7771Related Questions
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