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100 air conditioners were tested and it was found that the average power usage per hour...

100 air conditioners were tested and it was found that the average power usage per hour during the summer months (for around 9 hours per day) is 4100 W.

Find the 90% confidence interval if   = 60 W.

Find the lower confidence limit

Find the upper confidence limit

Math   Statistics-And-Probability   
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Answer #1


z @ 90.0% = 1.6449

Required confidence interval = (4100.0-1.6449(6.0), 4100.0+1.6449(6.0))
Required confidence interval = (4100.0 - 9.8694, 4100.0 + 9.8694)
Required confidence interval = (4090.1306, 4109.8694)
lower confidence limit = 4090.1306
upper confidence limit = 4109.8694

Interpretion: We are 90.0% confident that the true mean of the population lie between the interval 4090.1306 and 4109.8694.

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