In: Statistics and Probability
Perform the appropriate hypothesis test for the problem. State the hypotheses, identify the claim, compute the test statistic and P-value, make a decision, and write the interpretation in terms of the claim. For consistency, use a significance level of 0.05 for the problem.
Two brands of components are installed in a random sample of machines and the total machine operation time (in minutes) until the component needs to be replaced is recorded. Can you conclude that Brand 1 has a better mean lifetime based on the data below?
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 |