You are assessing the difference in the average time that two new fully-charged

Question

You are assessing the difference in the average time that two new fully-charged solar batteries can produce electricity before they need to be again exposed to the sun. Using a sample of 50 Type 1 batteries and 50 Type 2 batteries, you build a 90% confidence interval estimate of the difference in average operating times for the two batteries and the interval turns out to be 16 plus or minus 3 hours. How should you interpret the interval? We can be 90% confident that the interval 13 to 19 hours will contain the difference in average operating time for the two samples. We can be 90% confident that the difference in average operating time for the two populations represented here will be 3 hours. We can be 90% confident that the interval 16 plus or minus 3 hours will contain the difference in average operating time for the two populations represented here. 90% of the operating times will be between 13 and 19 hours.

Explanation / Answer

sing a sample of 50 Type 1 batteries and 50 Type 2 batteries, you build a 90% confidence interval estimate of the difference in average operating times for the two batteries and the interval turns out to be 16 plus or minus 3 hours. How should you interpret the interval?

interval is 13 to 19 so

We can be 90% confident that the interval 16 plus or minus 3 hours will contain the difference in average operating time for the two populations represented here

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