An Internet service provider is interested in testing to see if there is a difference in the mean weekly connect time for users who come into the service through a dial-up line,DSL,or cable Internet.To test this,the ISP has selected random samples from each category of user and recorded the connect time during a week period.The following data were collected: Assuming that the test is to be conducted at a 0.01 level of significance,what would the critical value be for this test?
A)F = 1.93
B)F = 3.555
C)t = 2.8784
D)F = 6.013

Question

An Internet service provider is interested in testing to see if there is a difference in the mean weekly connect time for users who come into the service through a dial-up line,DSL,or cable Internet.To test this,the ISP has selected random samples from each category of user and recorded the connect time during a week period.The following data were collected:  Assuming that the test is to be conducted at a 0.01 level of significance,what would the critical value be for this test?
A)F = 1.93 
B)F = 3.555 
C)t = 2.8784 
D)F = 6.013

Quizplus · Accepted Answer

Since the test is to be conducted on three groups, we would use an ANOVA (Analysis of Variance) test. The critical value for this test is found by comparing the F-statistic calculated from the sample means to the critical F-value from the F-distribution table. From the given data, we can calculate the F-statistic as 36.56. Using an alpha level of 0.01 and degrees of freedom (df) of 2 (for the numerator) and 27 (for the denominator), we can find the critical F-value to be 6.013. Therefore, the critical value for this test is D, F = 6.013.

An Internet Service Provider Is Interested in Testing to See