Question

We are doing this problem in R software. If you could also show how to do it in that along with the normal work that would be much appreciated.

Problem 1

Acid precipitation id linked to the disappearance of sport fish and other organisms from lakes. Sources of air pollution, including automobile emissions and burning fossil fuels, add to the natural acidity of precipitation. The Wisconsin Department of Natural Resources initiated a precipitation monitoring program with the goal of developing appropriate air pollution controls to reduce the problem. The acidity of the first 50 rains monitored, measured on pH scale from 1 (very acidic) 7 (basic), are given as follows:

Ordered pH data

3.58 4.12 4.30 4.42 4.50 4.58 4.65 4.78 5.41
3.80 4.18 4.32 4.45 4.51 4.60 4.70 4.78 5.48
4.01 4.20 4.33 4.45 4.52 4.61 4.70 4.80
4.01 4.21 4.35 4.50 4.52 4.61 4.70 5.07
4.05 4.27 4.35 4.50 4.52 4.62 4.70 5.20
4.05 4.28 4.41 4.50 4.57 4.62 4.72 5.26


(a) Obtain the lower quartile, upper quartile, median, mean, and the standard deviation

(b) Calculate IQR, lower fence and the upper fence for the above box plot. (c) Use the R script ???????( ) to sketch a boxplot for the data. Use the script ??????(?,?) to draw the lower fence and the upper fence on the boxplot. Note: ? = ?????????, ? = ?????.

(d) What can you discern from the box plot (explain in terms of center, shape, spread, and outliers)?

(e) Determine the intervals ?̅ ± ?, ?̅ ± 2 ?, and ?̅ ± 3 ?.

(f) What percentage of the measurements lie in those intervals?

Answer 1

now code :