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 whether the two types of instrument yield the equal mean measurement. The following readings were recorded for the two instruments: Sulfur MonoxideInstrument A0.960.820.750.610.890.640.810.680.65Instrument B0.870.740.630.550.750.700.690.570.53 Construct 90% confidence interval for the ratio of standard deviations of measurements of the two instruments.Depending upon the answer to 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.Do the mean measurements of the two instruments differ?

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Description: 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 whether the two types of instrument yield the equal mean measurement. The following reading

1. The recordings of the two instrument A and instrument B are given. The standard deviation of the…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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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 whether the two types of instrument yield the equal mean measurement. The following readings were recorded for the two instruments:

	Sulfur Monoxide
Instrument A	0.96	0.82	0.75	0.61	0.89	0.64	0.81	0.68	0.65
Instrument B	0.87	0.74	0.63	0.55	0.75	0.70	0.69	0.57	0.53

Construct 90% confidence interval for the ratio of standard deviations of measurements of the two instruments.
Depending upon the answer to 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.
Do the mean measurements of the two instruments differ?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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