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Problem

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Textbook ExpertVerified Tutor
13 Nov 2021

Given information

Given that, NeverReady batteries have 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 means life span is 16.7 hours. If the process is working properly, we have to find the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less.

Step-by-step explanation

Step 1.

According to the information we have, 

And 

Then to calculate the probability we use, 

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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