The concentration of carbon monoxide (CO) in a gas sample is measured by a spectrophotometer and found to be85 ppm. Through long experience with this instrument, it is believed that its measurements are unbiased and normally distributed, with an uncertainty (standard deviation) of 8 ppm. Find a 95% confidence interval for the concentration of CO in this sample.

What will be an ideal response?


The value 85 comes from a normal population with standard deviation ?= 8. Since ?is known, a 95% confidence interval is based on = 1.96. The confidence interval is 85 ± 1.96(8), or (69.32, 100.68).

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