Statistical Interpretation 3

Probability Level 2

Brilliant Industries claims that its calculators last longer on a single charge than the calculators of its competitor AOPS Corporation. Lauren wants to test this claim by conducting an observational study. It is known that AOPS Corporation calculators last on average 10 hours on a single charge, with a standard deviation of 1 hour. Lauren's observation of 20 calculators manufactured by Brilliant Industries shows that the average duration on a single charge is 12 hours, and the p-value is 0.10. At a significance level of 5 % , 5\%, what can Lauren conclude?

The observational study was not a proper way to determine the duration of the calculators. None of these Brilliant Industries calculators do not last longer than AOPS Corporation calculators. Brilliant Industries calculators last longer than AOPS Corporation calculators. Brilliant Industries calculators have a 10 % 10\% chance of lasting 12 hours or more.

Steven Yuan by Steven Yuan , 20, USA

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