An Internet service provider is interested in testing to see if there is the difference in 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:
| Dial Up |
DSL |
Cable |
| 19.2 |
40.6 |
39.5 |
| 17.7 |
40 |
42.3 |
| 17.2 |
41.5 |
47 |
| 18.9 |
30.5 |
45.4 |
| 26.9 |
46.8 |
41.1 |
| 22.6 |
|
43.2 |
| 31.2 |
|
39.9 |
|
|
41.9 |
|
|
49.3 |
Supposing that the test is to be conducted at a 0.01 level of significance, what would the critical value be for this test?
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