I submitted this proyect this morning but so far nobody has helped me to solve it.

Data set 2.87 7.05 2.92 7.23 3.56 7.38 4.46 7.48 4.51 7.83 4.71 7.99 4.98 8.12 5.23 8.45 5.45 8.68 5.51 8.81 5.59 9.21 6.12 9.57 6.42 13.1 6.43 6.45 6.47 6.48 6.51 6.52 6.53 6.58 6.67 6.78 6.81 6.82 6.83 6.93

I already did the tables. I just need help with the introduction and summary. Thank you

STA2023 Application: Sample Data, Statistics, and the Empirical Rule The completed application should be submitted to the Assignments link in Falcon Online. Purpose: The purpose of this assignment is to organize a random sample of data values and create statistics, tables, and a graph based on the data. Then the sample data will be compared to the Empirical Rule. The information will then be analyzed in a written summary. Part 1: Random Data, Statistics, and the Empirical Rule Methods: Use Excel (or similar software) to create the tables and graph. Then copy the items and paste them into a Word document. The tables should be formatted vertically, have borders, and be given the labels and titles stated in the assignment. The proper symbols should be used. Do not submit this assignment as an Excel file. The completed assignment should be a Word (or .pdf) document. 1. Use the data set assigned to you by your instructor to complete this application. For the purpose of this application, treat the data set as if it represented a certain random variable and was a random sample gathered by a researcher who was recording lengths of alligators which were found invading homes in a certain Florida city. The researcher recorded the lengths of alligators as reported by actual homeowners (by this I mean, the researcher just took people's word to be fact). Suppose that the largest Alligator, the 13 foot alligator was reported by your friend. 2. Use technology (Excel, graphing calculator, etc.) to sort the sample data values from low to high. Use Excel or similar software to put the data into a table with about 5 or 6 columns. Label this "Table 1: Sorted Set of Sample Data." 3. Using 5 to 10 class intervals, organize the sample data as a frequency distribution in a table. Label this "Table 2: Frequency Distribution." 4. Use Excel (or similar software) to construct a frequency histogram to illustrate the data. Give the axes the proper titles. Label this "Graph 1: Histogram." 5. Use Table 2, the frequency distribution, to find the midpoints of each class interval. Create a new frequency distribution with the midpoints in the left column and the frequencies in the right column. Label this "Table 3: Frequency Distribution with Midpoints." 6. Use technology to find the mean, median, standard deviation, and variance of the sample data organized in Table 3 (from step 5 above). Put these values into a table with the proper symbol in the left column and the value of the statistic in the right column. Also, from the original data set, put the values of the range and sample size in the table. The median and range do not generally have symbols so the terms "Median" and "Range" can be used in the left column. Identify the modal class (the one with the highest frequency). Put the terms "Modal Class" in the left column and the class interval in the right column. The statistics should be STA2023 Application (2017) 2 rounded properly (one more decimal place than the data). Label this "Table 4: Summary Statistics" 7. Use the sample mean and standard deviation to find the values related to the Empirical Rule. The Empirical Rule: For a set of data whose distribution is approximately normal, about 68% of the data are within one standard deviation of the mean. about 95% of the data are within two standard deviations of the mean. about 99.7% of the data are within three standard deviations of the mean. Use the value of n (the sample size) and the percents listed above to find how many data values should be within each category. Then use the sample mean and standard deviation to find the lower and upper cut-off values in each category. Then use the sorted list of data to determine how many values are actually in each category. Put the values into a table as shown in the example and label it "Table 5: The Empirical Rule." Part 2: Written Introduction and Summary 1. Write an introduction stating that you are taking the researcher's data seriously, and are conducting a serious investigation into lengths of alligators found to be invading homes. In particular, the 13 foot alligator which was supposedly found in your friend's home sounded suspicious, and you will conduct a statistical analysis to determine the likelihood that your friend told the truth to the researcher. 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. Discuss the difference between population and sample values (for example, state what could be wrong with the sample. Maybe the data is not normally distributed and the empirical rule does not apply. Or, maybe you strongly believe the empirical rule applies and will use this to refute your friend's claim. But regardless, the possibility always remains that the sample led you astray in determining the validity of your friends claim) 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 of the data. 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) 3 Finally, after discussing the empirical rule, the shape of the graph, the measures of center and variation, determine whether or not you think your friend's reported length of the alligator was accurate.