1A) An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05?
Drug | |||
A | B | C | D |
2 | 4 | 9 | 4 |
8 | 6 | 8 | 2 |
7 | 6 | 11 | 2 |
3 | 5 | 10 | |
9 |
(a) Find the test statistic. (Give your answer correct
to two decimal places.)
(b) Find the p-value. (Give your answer bounds
exactly.)
< p <
1B) A certain vending company's soft-drink dispensing machines are supposed to serve 6 oz of beverage. Various machines were sampled, and the resulting amounts of dispensed drink (in ounces) were recorded, as shown in the following table. Does this sample evidence provide sufficient reason to reject the null hypothesis that all five machines dispense the same average amount of soft drink? Use α = .01?
Machines | ||||
A | B | C | D | E |
3.8 | 7.1 | 4.1 | 6.0 | 4.9 |
4.2 | 6.8 | 4.5 | 6.5 | 5.6 |
3.8 | 6.6 | 3.9 | 6.4 | 4.6 |
4.4 | 4.1 | 4.9 |
(a) Find the test statistic. (Give your answer correct
to two decimal places.)
(b) Find the p-value. (Give your answer bounds
exactly.)
< p <
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