Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are compared in an air- pollution experiment. It is desired to determine whetherthe two types of instrument yield the equal mean measurement. The following readings were recorded forthe two instruments: Sulfur Monoxide Instrument A 0.96 Instrument B 0.87 0.74 0.63 0.55 0.75 0.70o 0.69 0.57 0.53 0.82 0.75 0.61 0.89 0.64 0.81 0.68 0.65 a) Construct 90% confidence intervalfor the ratio of standard deviations of measurements of the two instruments. b) Depending upon the answerto part (a), construct 95% confidence interval for the difference between the mean measurements of the two instruments and interpret your answer. Assume the measurements are approximately normally distributed. c) Do the mean measurements of the two instruments differ?

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Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are compared in an air-
pollution experiment. It is desired to determine whetherthe two types of instrument yield the equalmean
measurement. The following readings were recorded forthe two instruments:
Sulfur Monoxide
InstrumentA 0.96
Instrument B 0.87 0.74
0.82
0.75
0.61 0.89 0.64
0.81
0.68
0.65
0.63 0.55 0.75 0.70 0.69 0.57
0.53
a) Construct 90% confidence intervalfor the ratio of standard deviations of measurements of the two
instruments.
b) Depending upon the answerto part (a), construct 95% confidence interval for the difference between the
mean measurements of the two instruments and interpret your answer. Assume the measurements are
approximately normally distributed.
c) Do the mean measurements of the two instruments differ?
Transcribed Image Text:Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are compared in an air- pollution experiment. It is desired to determine whetherthe two types of instrument yield the equalmean measurement. The following readings were recorded forthe two instruments: Sulfur Monoxide InstrumentA 0.96 Instrument B 0.87 0.74 0.82 0.75 0.61 0.89 0.64 0.81 0.68 0.65 0.63 0.55 0.75 0.70 0.69 0.57 0.53 a) Construct 90% confidence intervalfor the ratio of standard deviations of measurements of the two instruments. b) Depending upon the answerto part (a), construct 95% confidence interval for the difference between the mean measurements of the two instruments and interpret your answer. Assume the measurements are approximately normally distributed. c) Do the mean measurements of the two instruments differ?
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