Following are the amounts of sulfur oxides (in tons) emitted by an industrial plant on 80 days:

(a) Group these data into the classes 5.0-8.9, 9.0-12.9, 13.0-16.9, 17.0 ?20.9, 21.0-24.9, 25.0-28.9, and 29.0-32.9. Also, draw a histogram of this distribution and judge whether it may well be described as bell shaped.

(b) Use a computer package or a graphing calculator to determine the values of $ and s for the ungrouped data.

(c) Use the results of part (b) to determine the values of x? ? s, x? ? 2s,, and x? ? 3s.

(d) Use the results of part (c) to determine what percent of the original data falls within one standard deviation on either side of the mean, what percent falls within two standard deviations on either side of the mean, and what percent falls within three standard deviations on either side of the mean.

(e) Compare the percentages obtained in part (d) with the 68, 95, and 99.7% claimed by the empirical rule.

Transcribed Image Text:

15.8 26.4 17.3 11.2 23.9 24.8 18.7 13.9 9.0 13.2 22.7 9.8 6.2 14.7 17.5 26.1 12.8 28.6 17.6 23.7 26.8 22.7 18.0 20.5 11.0 20.9 15.5 19.4 16.7 10.7 19.1 15.2 22.9 26.6 20.4 21.4 19.2 21.6 16.9 19.0 18.5 23.0 24.6 20.1 16.2 18.0 7.7 13.5 23.5 14.5 14.4 29.6 19.4 17.0 20.8 24.3 22.5 24.6 18.4 18.1 8.3 21.9 12.3 22.3 13.3 11.8 19.3 20.0 25.7 31.8 25 9 10.5 15.9 27.5 18.1 17.9 9.1 24.4 20.128.5 15.8 26.4 17.3 11.2 23.9 24.8 18.7 13.9 9.0 13.2 22.7 9.8 6.2 14.7 17.5 26.1 12.8 28.6 17.6 23.7 26.8 22.7 18.0 20.5 11.0 20.9 15.5 19.4 16.7 10.7 19.1 15.2 22.9 26.6 20.4 21.4 19.2 21.6 16.9 19.0 18.5 23.0 24.6 20.1 16.2 18.0 7.7 13.5 23.5 14.5 14.4 29.6 19.4 17.0 20.8 24.3 22.5 24.6 18.4 18.1 8.3 21.9 12.3 22.3 13.3 11.8 19.3 20.0 25.7 31.8 25 9 10.5 15.9 27.5 18.1 17.9 9.1 24.4 20.128.5

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a It is given the sulfur dioxide emitted by an industrial plant on 80 days Here n 80 Group in terms of frequencies as under Obtain the histogram of th... View the full answer