What assumptions are necessary in producing the confidence interval from Q1? Draw a boxplot of the data to help you explain whether the assumptions seem reasonable in this case. An environmental researcher has also been monitoring the nitrogen (NO2) levels in a Smogville waterway over many years. How many new samples would have to be taken in order to be 99% certain that the resulting average NO2 level was within 1 milligram per litre of the current true mean NO2 level? Assume similar variation to past sampling of 2.5 mg/l.
Questions 4 and 5 below.
A sample was taken of Carbon Monoxide (CO) levels in parts per million (ppm) recorded at 3pm on various days over a 12 month period in Smogville.
Sample data points: 26, 26, 22, 19, 28, 19, 19, 28, 17, 19, 14, 16, 13, 15, 16, 17, 12, 11.
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(Already answered, for reference only) Construct a 99% confidence interval for the mean CO level in Smogville during this time period, using Excel’s
Descriptive Statistics and Confidence Level. -
(Already answered, for reference only) What sampling distribution was used in the calculation of the confidence interval from Q1?
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(Already answered, for reference only) When CO air pollution is high (average above 15.0 ppm), sensitive people who suffer from heart disease or lung diseases, including asthma, may notice a significant effect. It is claimed that Smogville CO levels are above acceptable health limits. Does the interval calculated in Q1 provide evidence in support of this claim? Explain.
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What assumptions are necessary in producing the confidence interval from Q1? Draw a boxplot of the data to help you explain whether the assumptions seem reasonable in this case.
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An environmental researcher has also been monitoring the nitrogen (NO2) levels in a Smogville waterway over many years. How many new samples would have to be taken in order to be 99% certain that the resulting average NO2 level was within 1 milligram per litre of the current true mean NO2 level? Assume similar variation to past sampling of 2.5 mg/l.
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