Final answer:
There is evidence to support the claim that the mean battery life does not exceed 4 hours. The claim is false.
Step-by-step explanation:
The question asks if there is evidence to support the claim that the mean battery life exceeds 4 hours, and we need to determine if this claim is true or false.
To answer this question, we can refer to the given information. The statistics class randomly selected 30 batteries from NeverReady, a company that claims its batteries have an average life span of 17 hours with a standard deviation of 0.8 hours. The sample mean life span of these batteries was found to be 16.7 hours.
We can use this data to calculate the probability of getting a random sample with a mean life span of 16.7 hours or less. If the process is working properly, the probability of this happening should be low. The fact that the probability is only 2% suggests that the class was justified in questioning the company's claim.
Therefore, there is evidence to support the claim that the mean battery life does not exceed 4 hours. The claim is false.