Part 2: Written Introduction and Summary 1. Write an introduction to this application. Discuss the random variable and the source of the sample data. Refer to the textbook or class notes to describe the basic components of the application and the statistical concepts that are applied. The introduction should be at least 50 words and be written with proper grammar and spelling. 2. Write a summary of the application, considering the following topics. The summary should be at least 150 words and be written with proper grammar and spelling. Refer to the tables and graph (by label and number) throughout the summary. Use the proper statistical terms and symbols in the summary. Write about the concepts in the application rather than the steps followed. Do not number the parts or steps in the application except for the proper numbering of the tables and graph. Discuss the difference between population and sample values Discuss how the frequency distribution was created, specifically referring to the intervals and class width. Describe the features of the histogram, including the axes and the shape of the distribution, especially whether it meets the criteria of an approximately normal distribution Discuss measures of center and variation as related to the sample data; given the values used in the random number generator, compare the sample values to those of the population Discuss the Empirical Rule and compare the actual number of values within each category of the Empirical Rule to the number that should be there Discuss how the Empirical Rule is related to the criteria for significantly low or high values. Discuss characteristics of the sample data such as significantly low/high values and skewness, providing support and examples. Use both the histogram and measures of center to identify whether there is skewness. STA2023 Application (2017) 4:38 20 25 20. 274 226 23 207 25.4 20.4 213 18.6 219 20.3 225 10 Table 1: Sorted Set of Sample Data 14 203 20.7 216 24.1 14 18.6 202 213 20.4 213 244 27.3 224 226 226 Table 2: Frequency Distribution O Class inter Frequency 1 14-16 1 2 16-18 1 3 18-20 2 4 20-22 12 $ 22-24 7 6 24-26 7 7 26-28 10 3 28-30 2 Total 42 Graph 1 ogram Histogram 14 2 34-361616 18 20 20 22 2224 225 25-28 23:50 Table 3: Frequency Distribution with Mid-points Mid-point Frequenc, mifi filmi-mean)^2 15 1 15 71.8458 17 1 17 41.94104 19 2 38 40.07256 21 12 252 73.57823 23 7 161 1.587302 25 7 175 16.25397 27 10 270 124.1723 29 2 58 61.02494 Total 42 986 430.4762 Mean 23.47619 Variance 61.4966 Standhed di 11 Result: Question 7 sample size = 42 Number of data values which Number of actually Categories data values Jare of which should Jupper within empirical be within cut flower cut- cut off Rule off values cut off off values X-X+S= 68% 29 s=20.3| 26.7.26 X-2s = x+2s=1 95% 40 17.1 29.9 38 X-3s=\x+3s=1 99.70% 13.9 33.142 42 Part 2: Written Introduction and Summary 1. Write an introduction to this application. Discuss the random variable and the source of the sample data. Refer to the textbook or class notes to describe the basic components of the application and the statistical concepts that are applied. The introduction should be at least 50 words and be written with proper grammar and spelling. 2. Write a summary of the application, considering the following topics. The summary should be at least 150 words and be written with proper grammar and spelling. Refer to the tables and graph (by label and number) throughout the summary. Use the proper statistical terms and symbols in the summary. Write about the concepts in the application rather than the steps followed. Do not number the parts or steps in the application except for the proper numbering of the tables and graph. Discuss the difference between population and sample values Discuss how the frequency distribution was created, specifically referring to the intervals and class width. Describe the features of the histogram, including the axes and the shape of the distribution, especially whether it meets the criteria of an approximately normal distribution Discuss measures of center and variation as related to the sample data; given the values used in the random number generator, compare the sample values to those of the population Discuss the Empirical Rule and compare the actual number of values within each category of the Empirical Rule to the number that should be there Discuss how the Empirical Rule is related to the criteria for significantly low or high values. Discuss characteristics of the sample data such as significantly low/high values and skewness, providing support and examples. Use both the histogram and measures of center to identify whether there is skewness. STA2023 Application (2017) 4:38 20 25 20. 274 226 23 207 25.4 20.4 213 18.6 219 20.3 225 10 Table 1: Sorted Set of Sample Data 14 203 20.7 216 24.1 14 18.6 202 213 20.4 213 244 27.3 224 226 226 Table 2: Frequency Distribution O Class inter Frequency 1 14-16 1 2 16-18 1 3 18-20 2 4 20-22 12 $ 22-24 7 6 24-26 7 7 26-28 10 3 28-30 2 Total 42 Graph 1 ogram Histogram 14 2 34-361616 18 20 20 22 2224 225 25-28 23:50 Table 3: Frequency Distribution with Mid-points Mid-point Frequenc, mifi filmi-mean)^2 15 1 15 71.8458 17 1 17 41.94104 19 2 38 40.07256 21 12 252 73.57823 23 7 161 1.587302 25 7 175 16.25397 27 10 270 124.1723 29 2 58 61.02494 Total 42 986 430.4762 Mean 23.47619 Variance 61.4966 Standhed di 11 Result: Question 7 sample size = 42 Number of data values which Number of actually Categories data values Jare of which should Jupper within empirical be within cut flower cut- cut off Rule off values cut off off values X-X+S= 68% 29 s=20.3| 26.7.26 X-2s = x+2s=1 95% 40 17.1 29.9 38 X-3s=\x+3s=1 99.70% 13.9 33.142 42