Question

Asked Oct 31, 2019

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NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less? Is the company’s claim reasonable?

Step 1

The probability of the sample mean lifetime is 16.7 hours or less is **0.0202** and it is obtained below:

From the given information, let us define the random variable *X* ...

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