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?
Definitions:
Silence
The absence of any sound or noise; in legal terms, it can imply consent or agreement in certain contexts if established by prior dealings or agreements.
Arm's Length
A transaction conducted between parties who are independent and on an equal footing, ensuring that no special advantages are given to any of the parties involved due to personal relationships.
Fraud
Intentionally misleading someone to obtain an unjust advantage or to strip someone of their lawful entitlement.
Arm's Length Transaction
A transaction where the buyers and sellers of a product act independently and have no relationship to each other, ensuring that the deal is conducted fairly and without any conflict of interest.
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