Final answer:
The question on laptop battery life increase is incomplete, and without additional data, a precise answer cannot be provided. However, an example involving battery lifespan statistics shows how to calculate the probability of observing a sample mean using standard deviation and sample size, offering insight into the processes involved in testing such claims.
Step-by-step explanation:
The student is asking about the increase in battery life of a laptop from an initial 8 hours to several possible new durations. However, the question appears incomplete as it does not provide sufficient information to determine the exact increase in battery life. Instead, a similar type of question is provided regarding battery life statistics, where a class is testing manufacturer claims on battery lifespan. In this example, if the NeverReady batteries claim an average lifespan of 17 hours and a class finds a sample mean lifespan of 16.7 hours, we can use the standard deviation and sample size to calculate the probability of observing this sample mean if the claim is accurate.
To apply this to the student’s original question, we would need the mean and standard deviation of the new battery life and then calculate the probability for the increased durations. Without this information, we can't provide a definitive answer to Zach’s laptop battery question. Nevertheless, the student can use a similar process to assess the battery life claims by conducting a hypothesis test.