High School

The number of hours of reserve capacity of 10 randomly selected automotive batteries is shown below:

1.78, 1.88, 1.55, 1.64, 1.76, 1.98, 1.38, 1.51, 1.44, 2.06

Assume the sample is taken from a normally distributed population.

Answer :

Final answer:

The probability of a sample of 30 batteries having a certain life span is calculated to determine if the process is working properly.

Explanation:

The question at hand involves the number of hours of reserve capacity of 10 randomly selected automotive batteries. We are asked to assume that the sample is taken from a normally distributed population. To determine if the process is working properly, we need to calculate the probability that a sample of 30 batteries would have at most 16.7 life span hours. Given that this probability is only 2%, the class was justified in questioning the claim.

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