Question

A manufacturer wants to test his newly developed batteries to determine whether they exceed the standard battery life of 10 hours. Conduct a hypothesis test to determine if the new batteries have a longer battery life than the standard. Specify the null and alternative hypotheses and the significance level.

Answer 1

To conduct a hypothesis test, set up the null and alternative hypotheses and specify the significance level.

Step-by-step explanation:

To conduct a hypothesis test to determine if the new batteries have a longer battery life than the standard, we need to set up the null and alternative hypotheses and specify the significance level.

1. The null hypothesis (H0) is that the new batteries do not have a longer battery life than the standard, or in other words, the average battery life of the new batteries is the same as the standard (μ ≤ 10).
2. The alternative hypothesis (Ha) is that the new batteries have a longer battery life than the standard, or in other words, the average battery life of the new batteries is greater than the standard (μ > 10).
3. The significance level is typically set at 0.05 or 5%.

By conducting the hypothesis test and analyzing the data, we can then determine if the new batteries have a longer battery life than the standard.