The following data was obtained from 31 days of operation of a plant for the oxidation of ammonia (NH3) to nitric acid (HNO3). The nitric oxides produced are absorbed in a countercurrent absorption tower. The variable observed “daily percent stack loss" is an inverse measure of the over-all efficiency of the plant. The plant is considered to have "excellent performance" on days where the stack loss is less than 10% and it is considered to have “very poor performance" when the stack loss is 28% or higher. The data is: 56 12 43 28 18 18 19 20 10 14 14 13 11 12 9 7889 15 15 18 20 15 12 10 15 28 25 11 14 1. Draw a histogram of the data by hand and show the step to calculate the bar classes. Comment on the shape of the histogram of the sample. 1. Calculate the proportion of days when the plant has excellent performance (stack loss is less than 10% ) or when is it has very poor performance (stack loss 28% or higher). 2. Draw a stem and leaf plot by hand, which digit is the stem?

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Please answer parts 1 and 2 of the following question (not the histogram part 1, but the part where you calulate the proportion of days...) Thank you

The following data was obtained from 31 days of operation of a plant for the oxidation of ammonia (NH3) to nitric acid (HNO3). The nitric oxides produced are absorbed in a countercurrent absorption tower. The variable observed, "daily percent stack loss," is an inverse measure of the overall efficiency of the plant. The plant is considered to have “excellent performance” on days where the stack loss is less than 10%, and it is considered to have “very poor performance” when the stack loss is 28% or higher.

The data is:

56, 12, 43, 28, 18, 18, 19, 20, 10, 14, 14, 13, 11, 12, 9, 7, 8, 8, 9, 15, 15, 18, 20, 15, 12, 10, 15, 28, 25, 11, 14

Tasks:
1. **Draw a histogram of the data by hand and show the step to calculate the bar classes.**

   - Calculate the range of the dataset.
   - Determine the number of classes using Sturges' Rule.
   - Calculate the class width and determine class intervals.
   - Plot the histogram using the frequency of data points within each class interval.

   *Comment on the shape of the histogram of the sample.*

2. **Calculate the proportion of days when the plant has excellent performance (stack loss is less than 10%) or when it has very poor performance (stack loss 28% or higher).**

3. **Draw a stem-and-leaf plot by hand, which digit is the stem?**

   - Use the tens digit as the stem and units digit as the leaf.
   - List data points in ascending order, organizing them in the plot accordingly.
Transcribed Image Text:The following data was obtained from 31 days of operation of a plant for the oxidation of ammonia (NH3) to nitric acid (HNO3). The nitric oxides produced are absorbed in a countercurrent absorption tower. The variable observed, "daily percent stack loss," is an inverse measure of the overall efficiency of the plant. The plant is considered to have “excellent performance” on days where the stack loss is less than 10%, and it is considered to have “very poor performance” when the stack loss is 28% or higher. The data is: 56, 12, 43, 28, 18, 18, 19, 20, 10, 14, 14, 13, 11, 12, 9, 7, 8, 8, 9, 15, 15, 18, 20, 15, 12, 10, 15, 28, 25, 11, 14 Tasks: 1. **Draw a histogram of the data by hand and show the step to calculate the bar classes.** - Calculate the range of the dataset. - Determine the number of classes using Sturges' Rule. - Calculate the class width and determine class intervals. - Plot the histogram using the frequency of data points within each class interval. *Comment on the shape of the histogram of the sample.* 2. **Calculate the proportion of days when the plant has excellent performance (stack loss is less than 10%) or when it has very poor performance (stack loss 28% or higher).** 3. **Draw a stem-and-leaf plot by hand, which digit is the stem?** - Use the tens digit as the stem and units digit as the leaf. - List data points in ascending order, organizing them in the plot accordingly.
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