Perform the appropriate hypothesis test for the problem. Statethe hypotheses, identify the claim, compute the test statistic andP-value, make a decision, and write the interpretation in terms ofthe claim. For consistency, use a significance level of 0.05 forthe problem.
Two brands of components are installed in a random sample ofmachines and the total machine operation time (in minutes) untilthe component needs to be replaced is recorded. Can you concludethat Brand 1 has a better mean lifetime based on the databelow?
| Brand 1 | 36,925 | 45,300 | 36,240 | 32,100 | 37,210 | 48,360 | 38,200 |
| Brand 2 | 34,318 | 42,280 | 35,500 | 31,950 | 38,015 | 47,800 | 33,215 |
