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VOLUME =1/3*3.14*6*6*9=339.12 ft^3
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Central Limit Theorem and use Principles of the Normal Distribution Paper
Use the link in the Jupyter Notebook activity to access your Python script. Once you have made your calculations, complete ...
Central Limit Theorem and use Principles of the Normal Distribution Paper
Use the link in the Jupyter Notebook activity to access your Python script. Once you have made your calculations, complete this discussion. The script will output answers to the questions given below. You must attach your Python script output as an HTML file and respond to the questions below.In this discussion, you will apply the central limit theorem and use principles of the Normal distribution to calculate probabilities. You will demonstrate two key parts of the central limit theorem:The distribution of sample means is approximately Normally distributed (bell-shaped) as the sample size increases and we repeatedly draw these samples, regardless of the shape of the population distribution from which the samples are drawn.The average of all sample means is equal to the population mean. In practice, the average of all sample means will closely approximate the population mean.You will generate a population data set representing total precipitation (TPCP) in tenths of a millimeter using Python’s numpy module. The distribution of this data set will be skewed. This data set will be unique to each student, and therefore the answers will be unique as well. Run Step 1 in the Python script to generate your unique population data.In your initial post, address the following items:In the Python script, you created a histogram for the dataset generated in Step 1. Check to make sure that this data distribution is skewed and included in your attachment. See Step 2 in the Python script.What is the mean of the TPCP population data? See Step 3 in the Python script.In the Python script, you selected a random sample with replacement, of size 50 (note that this is a sufficiently large sample), from the TPCP population. What is the mean of your random sample? Does this sample mean closely approximate the TPCP population mean? See Step 4 in the Python script.You also selected 1,000 random samples of size 50 and calculated the mean of each sample. Then you stored those means into a dataframe. Check to make sure the output of this step is in your attachment. See Step 5 in the Python script.Review the plotted data distribution for these 1,000 means. Does this approximate a Normal distribution? Does this confirm the first part of the central limit theorem? Why or why not? See Step 6 in the Python script.What is the “grand” mean and standard deviation of these 1,000 means? Does the grand mean closely approximate (on a relative basis) the mean of the original distribution? Does this confirm the second part of the central limit theorem? Why or why not? See Step 7 in the Python script.Recall that your distribution of 1,000 means is Normally distributed even though the population distribution was skewed and the grand mean closely approximates the population mean. In your follow-up posts to other students, review your peers' results and provide some analysis and interpretation.Is their population distribution skewed? Is their distribution of 1,000 sample means approximately Normally distributed? Does this confirm the first part of the central limit theorem? Why or why not?Does their grand mean closely approximate their population mean? Does this confirm the second part of the central limit theorem? Why or why not?Based on this discussion activity, what have you learned about the central limit theorem?Remember to attach your Python output and respond to all questions in your initial and follow-up posts. Be sure to clearly communicate your ideas using appropriate terminology. Finally, be sure to review the Discussion Rubric to understand how you will be graded on this assignment.
San Jose City College MINITAB and Statistics One Way ANOVA Lab Report
In this lab, you will use One
Way Analysis of Variance Tests to determine whether 2 or more populations have
the same av ...
San Jose City College MINITAB and Statistics One Way ANOVA Lab Report
In this lab, you will use One
Way Analysis of Variance Tests to determine whether 2 or more populations have
the same average.
3 pages
Qm 662 Exam Iii Fall 2020
For the following, we are using Strategic Doing to help implement a strategic plan at your company. Three departments (Mar ...
Qm 662 Exam Iii Fall 2020
For the following, we are using Strategic Doing to help implement a strategic plan at your company. Three departments (Marketing, Quality, and ...
MIS445 R Project for Statistical Computing Assignment
R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Links to ...
MIS445 R Project for Statistical Computing Assignment
R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Links to an external site.)Links to an external site. to download the R software to your computer (follow the instructions provided in the attached R Installation Instructions sheet). The R Project website (Links to an external site.)Links to an external site. provides a brief introduction to R that you may also want to review. Like SAS, R is code-driven software that provides computation and graphics easily. This means that you need to write code in order to obtain the results. In this CT assignment, you will write code to find the probabilities. Some R example code to find the probabilities under specific distributions are given in Section 1.11 of zyBooks. For each problem, write an R code to compute each probability.(a) Binomial Distribution: X ~ Bin(10, 0.7) (i) P(X = 2) (ii) P(X < 2) (iii) P(X > 2) (iv) P(1 < X < 7)(b) Normal Distribution: X ~ N(0, 4). Note that variance is 4 and, hence, the standard deviation is 2. (i) P(X < 3) (ii) P(X > 3) (iii) P(1 < X < 3)(c) Choose either (a) or (b) and interpret the results in a real-life scenario. Make sure to define X and interpret each probability. For parts (a) and (b), take screenshots of R codes and the answers. Copy and paste the screenshot(s) into a Word document and submit the Word file in Canvas.
James Madison High School Geometry Diagonals Coordinates Exam Pratice
1. Point is reflected across the line . What are the coordinates of ? Show your work and explain.2. Suppose point is tra ...
James Madison High School Geometry Diagonals Coordinates Exam Pratice
1. Point is reflected across the line . What are the coordinates of ? Show your work and explain.2. Suppose point is translated according to the rule . What are the coordinates of ? Explain.3. How many lines of symmetry does a regular heptagon have? Explain your answer.4. Suppose the point is reflected across the axis and then translated according to the rule . What are the coordinates of ? Show your work and explain.5. In the figure, . Solve for . Show your work.6. In the figure, . Solve for . Show your work.7. In the figure, . What is the perimeter of ? Show your work.8. What is the length of side in the triangle? Show your work.9. Find the length of in the triangle below. Show your work.10. Find the length of Show your work.11. Find the measure of . Show your work.12. Give the center, radius, and equation of the circle in the graph.13. Find the measure of . Show your work.14. What is the center and radius of the circle that has the equation ? Explain.15. What is the area of shown in the figure? Show your work.16. What is the area of a rhombus whose diagonals have lengths inches and inches? Show your work.17. What is the area of quadrilateral if and ? Show your work.18. What is the area of a circle whose diameter is inches? Use in your calculations. Show your work.19. What is the volume of a square pyramid whose length of one side of its base is cm and whose height is cm. Show your work.20. What is the exact volume of a cylinder whose diameter is meters and whose height is meters? Show your work.21. What is the exact volume of a sphere whose diameter is cm? Show your work.22. What is the exact volume of a cone whose base radius is feet and whose height is feet? Show your work.23. In his suitcase, Jack has shirts, pants, socks (pairs of socks), and shoes (pairs of shoes). How many unique ways can Jack get fully dressed? Show your work and explain.24. Suppose you throw two fair number cubes. What is the probability that the sum of the results of the throw is or ? Show your work and explain.25. Suppose you draw one card from a standard deck of cards. A standard deck of cards has 4 of each type of card, so the deck contains 4 kings and 4 queens. What is the probability that the card is a king or a queen? Explain.
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Central Limit Theorem and use Principles of the Normal Distribution Paper
Use the link in the Jupyter Notebook activity to access your Python script. Once you have made your calculations, complete ...
Central Limit Theorem and use Principles of the Normal Distribution Paper
Use the link in the Jupyter Notebook activity to access your Python script. Once you have made your calculations, complete this discussion. The script will output answers to the questions given below. You must attach your Python script output as an HTML file and respond to the questions below.In this discussion, you will apply the central limit theorem and use principles of the Normal distribution to calculate probabilities. You will demonstrate two key parts of the central limit theorem:The distribution of sample means is approximately Normally distributed (bell-shaped) as the sample size increases and we repeatedly draw these samples, regardless of the shape of the population distribution from which the samples are drawn.The average of all sample means is equal to the population mean. In practice, the average of all sample means will closely approximate the population mean.You will generate a population data set representing total precipitation (TPCP) in tenths of a millimeter using Python’s numpy module. The distribution of this data set will be skewed. This data set will be unique to each student, and therefore the answers will be unique as well. Run Step 1 in the Python script to generate your unique population data.In your initial post, address the following items:In the Python script, you created a histogram for the dataset generated in Step 1. Check to make sure that this data distribution is skewed and included in your attachment. See Step 2 in the Python script.What is the mean of the TPCP population data? See Step 3 in the Python script.In the Python script, you selected a random sample with replacement, of size 50 (note that this is a sufficiently large sample), from the TPCP population. What is the mean of your random sample? Does this sample mean closely approximate the TPCP population mean? See Step 4 in the Python script.You also selected 1,000 random samples of size 50 and calculated the mean of each sample. Then you stored those means into a dataframe. Check to make sure the output of this step is in your attachment. See Step 5 in the Python script.Review the plotted data distribution for these 1,000 means. Does this approximate a Normal distribution? Does this confirm the first part of the central limit theorem? Why or why not? See Step 6 in the Python script.What is the “grand” mean and standard deviation of these 1,000 means? Does the grand mean closely approximate (on a relative basis) the mean of the original distribution? Does this confirm the second part of the central limit theorem? Why or why not? See Step 7 in the Python script.Recall that your distribution of 1,000 means is Normally distributed even though the population distribution was skewed and the grand mean closely approximates the population mean. In your follow-up posts to other students, review your peers' results and provide some analysis and interpretation.Is their population distribution skewed? Is their distribution of 1,000 sample means approximately Normally distributed? Does this confirm the first part of the central limit theorem? Why or why not?Does their grand mean closely approximate their population mean? Does this confirm the second part of the central limit theorem? Why or why not?Based on this discussion activity, what have you learned about the central limit theorem?Remember to attach your Python output and respond to all questions in your initial and follow-up posts. Be sure to clearly communicate your ideas using appropriate terminology. Finally, be sure to review the Discussion Rubric to understand how you will be graded on this assignment.
San Jose City College MINITAB and Statistics One Way ANOVA Lab Report
In this lab, you will use One
Way Analysis of Variance Tests to determine whether 2 or more populations have
the same av ...
San Jose City College MINITAB and Statistics One Way ANOVA Lab Report
In this lab, you will use One
Way Analysis of Variance Tests to determine whether 2 or more populations have
the same average.
3 pages
Qm 662 Exam Iii Fall 2020
For the following, we are using Strategic Doing to help implement a strategic plan at your company. Three departments (Mar ...
Qm 662 Exam Iii Fall 2020
For the following, we are using Strategic Doing to help implement a strategic plan at your company. Three departments (Marketing, Quality, and ...
MIS445 R Project for Statistical Computing Assignment
R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Links to ...
MIS445 R Project for Statistical Computing Assignment
R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Links to an external site.)Links to an external site. to download the R software to your computer (follow the instructions provided in the attached R Installation Instructions sheet). The R Project website (Links to an external site.)Links to an external site. provides a brief introduction to R that you may also want to review. Like SAS, R is code-driven software that provides computation and graphics easily. This means that you need to write code in order to obtain the results. In this CT assignment, you will write code to find the probabilities. Some R example code to find the probabilities under specific distributions are given in Section 1.11 of zyBooks. For each problem, write an R code to compute each probability.(a) Binomial Distribution: X ~ Bin(10, 0.7) (i) P(X = 2) (ii) P(X < 2) (iii) P(X > 2) (iv) P(1 < X < 7)(b) Normal Distribution: X ~ N(0, 4). Note that variance is 4 and, hence, the standard deviation is 2. (i) P(X < 3) (ii) P(X > 3) (iii) P(1 < X < 3)(c) Choose either (a) or (b) and interpret the results in a real-life scenario. Make sure to define X and interpret each probability. For parts (a) and (b), take screenshots of R codes and the answers. Copy and paste the screenshot(s) into a Word document and submit the Word file in Canvas.
James Madison High School Geometry Diagonals Coordinates Exam Pratice
1. Point is reflected across the line . What are the coordinates of ? Show your work and explain.2. Suppose point is tra ...
James Madison High School Geometry Diagonals Coordinates Exam Pratice
1. Point is reflected across the line . What are the coordinates of ? Show your work and explain.2. Suppose point is translated according to the rule . What are the coordinates of ? Explain.3. How many lines of symmetry does a regular heptagon have? Explain your answer.4. Suppose the point is reflected across the axis and then translated according to the rule . What are the coordinates of ? Show your work and explain.5. In the figure, . Solve for . Show your work.6. In the figure, . Solve for . Show your work.7. In the figure, . What is the perimeter of ? Show your work.8. What is the length of side in the triangle? Show your work.9. Find the length of in the triangle below. Show your work.10. Find the length of Show your work.11. Find the measure of . Show your work.12. Give the center, radius, and equation of the circle in the graph.13. Find the measure of . Show your work.14. What is the center and radius of the circle that has the equation ? Explain.15. What is the area of shown in the figure? Show your work.16. What is the area of a rhombus whose diagonals have lengths inches and inches? Show your work.17. What is the area of quadrilateral if and ? Show your work.18. What is the area of a circle whose diameter is inches? Use in your calculations. Show your work.19. What is the volume of a square pyramid whose length of one side of its base is cm and whose height is cm. Show your work.20. What is the exact volume of a cylinder whose diameter is meters and whose height is meters? Show your work.21. What is the exact volume of a sphere whose diameter is cm? Show your work.22. What is the exact volume of a cone whose base radius is feet and whose height is feet? Show your work.23. In his suitcase, Jack has shirts, pants, socks (pairs of socks), and shoes (pairs of shoes). How many unique ways can Jack get fully dressed? Show your work and explain.24. Suppose you throw two fair number cubes. What is the probability that the sum of the results of the throw is or ? Show your work and explain.25. Suppose you draw one card from a standard deck of cards. A standard deck of cards has 4 of each type of card, so the deck contains 4 kings and 4 queens. What is the probability that the card is a king or a queen? Explain.
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