Mat 312 Test 2: Chapters 8, 9, 12 — Total Points 180
Mat 312 Test 2 Chapters 8 9 12 180 Total Points show All Work
Mat 312 test 2 Chapters 8 9 12 180 Total Pointsshow All Workname
Mat 312test 2 Chapters 8 9 12 180 Total Pointsshow All Workname
MAT 312 Test 2 Chapters 8, 9 & Total Points) Show All Work! Name:_______________ 1. Construct a 95% confidence interval for the mean of a normal population if a random sample of size 60 from the population yields a sample mean of 90 and the population has a standard deviation of 10. What is the confidence interval and margin of error (10 points)? 2.
Forty panels were exposed to various corrosive conditions to measure the protective ability of paint. The mean life for the samples was 112 hours. The life of the paint samples is assumed to be normally distributed with a population standard deviation of 25 hours. Find the 85% confidence interval and margin of error for the mean life of the paint (10 points). 3.
Construct a 98% confidence interval for the mean of a normal population assuming that the values listed below comprise a random sample taken from the population. The population standard deviation is unknown. Also, what are the mean and sample standard deviation (15 points). . Suppose you sample 19 baseball pitchers and find that they have an average pitching speed of 87 mph with a standard deviation of 0.98 mph. Find a 95% confidence interval for the average pitching speed of all pitchers (10 points).
5. A tire manufacturer is testing the tire pressure in its new tires. A random sample of 10 tire pressure readings, yield a variance of 31.8. Construct and interpret a 95% confidence interval for the variance (10 points). 6.
Find the t – value such that .025 area of the area under the curve is to the left of the t – value. Assume the degree of freedom is 100 (5 points). 7. Find t α /2,n-1 for area two tails the following combinations of α and n (5 points each): a. α =.05, n =25 b. α =.20, n =. Find zα/2 for the following confidence levels (5 points each): a.
80% b. 70% 9. Find zα/2 for the following levels of α (5 points each): a. α=.66 b. α=.. A state politician is interested in knowing how voters in rural areas and cities differ in their opinions about gun control. For his study, 80 rural voters were surveyed, and 47 were found to support gun control.
Also, 80 voters from the cities were surveyed, and 59 of these voters were found to support gun control. Construct and interpret a 90% confidence interval and margin of error for the true difference between the proportion of rural and city voters who favor gun control (10 points). 11. John believes that his wife’s cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted, and calculated that the mean was 26.9 hours with a standard deviation of 6.5 hours.
He measured the length of time his wife’s cell phone battery lasted on nine different occasions and calculated a mean of 24.1 with a standard deviation of 8.9. Construct and interpret a 95% confidence interval for the true difference in battery life between John’s cell phone and his wife’s cell phone. (10 points each) a. Assume the population variances are the same b. Assume the population variances are different 12. Students from two different schools took the same standardized test.
From school A, a random sample of 53 students had a mean score of 80. From school B, a random sample of 44 students had mean score of 84. Assume the population standard deviations are 9 for school A and 5 for school B. Construct and interpret a 90% confidence interval for the true difference between the mean test scores of the two schools. Also, what is the point estimate? (15 points) 13.
A dietician wants to see how much weight a certain diet can help her 9 patients lose. She weighs each patient before and 45 days later. Her results are in the table. Construct and interpret a 98% confidence interval and calculate the paired differences for the true mean difference between the weights to determine the mean amount of weight lost by going on this diet (15 points). Patients’ Weights (in Pounds) Starting Weights Ending Weights d 14.
A teacher wants to have his students in two different classes evaluate his teaching on a scale of 1-10 with 10 being excellent. The results of the first class with 18 students was a mean of 5.8 with a standard deviation of 1.2, and the second class with 15 students was a mean of 7.2 with a standard deviation of 1.5. Construct and interpret a 95% confidence interval to estimate a true difference between the two classes. Assume that the population variances are different (10 points). 15.
For the data below, complete the following (20 points): Age Bone Density a. Draw a scatter plot b. Estimate the correlation in words (positive, negative, or none) c. Explain your estimation d. Calculate the correlation coefficient ( r-value ) e.
Explain what the correlation coefficient (r) tells about the data f. Calculate the coefficient of determination ( r2 ) g. Explain what the coefficient of determination tells about the data h. Calculate the least-squares regression line (line of best fit) i. Predict the bone density at age 56 Student Name: Date: PART 1 Now is your opportunity to discover a public health organization that is working to increase diversity and inclusion!
We are looking for those “bright spot†organizations that are intentionally working to increase cultural awareness. Research and then identify a public health organization that has implemented strategies, initiatives, or programs with the goal to increase diversity and inclusion. Public Health Organization: Question/Prompt Details to Include in Your Response Response Describe in detail the organization you selected. Where is the organization located? Who do they serve?
Describe the organization’s services. What are the primary services provided? How do they deliver services? What did you learn about the organization from their website? How does the organization present itself to the community?
What are their messages? What thoughts or emotions does their website invoke to you? In your research, do you believe this organization values diversity and inclusion? Provide 2-3 examples of how this organization show that they value diversity and inclusion. What details can you find about who this organization employ?
What are the demographics of the employees? What employment opportunities are available at this organization? Are the opportunities available to all? How might people of varying backgrounds and experience feel about applying to work for this organization? Is the application and hiring process inclusive from your perspective?
What strategies or initiatives has this organization put into place to increase diversity cultural awareness? Strategy #1 #1 Describe in detail the strategy, initiative, or program the organization has employed to increase diversity and cultural awareness. Who is the target audience? What has been the outcome? What strategies or initiatives has this organization put into place to increase diversity and cultural awareness?
Strategy #2 #2 Describe in detail the strategy, initiative, or program the organization has employed to increase diversity and cultural awareness. Who is the target audience? What has been the outcome? What leaders/positions were (or do you think were) key in developing, implementing, and ensuring the success of each strategy? Provide position titles and names if possible.
How does this position play a part in ensuring success of the strategy? Provide 3-5 leaders and how each plays a role. What resources is the organization allocating to this work? How is the organization supporting this work? Is there staff, money, or other resources allotted for this work?
What does success look like? How does this organization measure success in this work? Assess this organization’s strategies to increase diversity and cultural awareness. In your own opinion, what did the organization do well? Describe in detail what you believe the organization is doing well to increase diversity and inclusion.
Assess this organization’s strategies to increase diversity and cultural awareness. In your own opinion, what could the organization do better? Describe in detail what you believe the organization could do better to increase diversity and inclusion. Provide 1-2 additional strategies, initiatives, communication, etc. that you would suggest for improvement. PART 2 We are living in an unprecedented time in our world with the novel coronavirus COVID-19 becoming a pandemic.
There are many instances of how culture has impacted this crisis. Reflect upon this public health crisis and answer the following questions. Public Health Crisis: Novel Coronavirus COVID-19 Question/Prompt Details to Include in Your Response Response In this public health crisis, where do health and culture intersect? Provide 3-4 specific examples of how health and culture cross in this crisis. Where has culture played a negative role in this crisis?
Provide 1-2 specific examples of how culture has impacted this crisis negatively. How has this impacted the trajectory of the spread? Where has culture played a positive role in this crisis? Provide 1-2 specific examples of how culture has impacted this crisis positively. How has this impacted the trajectory of the spread?
There are countless viewpoints and responses to this crisis in the United States. How has culture here in America influenced this crisis? Provide 1-2 specific examples of how culture has impacted this crisis in the United States. How has this impacted the trajectory of the spread? If you were a senior public health official on President Trump’s advisory team, what advice would you give to combat this crisis?
Provide 2-3 specific ideas, strategies, or initiatives that you would recommend implementing. Be creative!
Paper For Above instruction
The assignment involves exploring multiple complex statistical, cultural, and public health topics. It requires constructing confidence intervals, hypothesis testing, analyzing correlations, and interpreting statistical data across various scenarios. Additionally, it involves evaluating the role of diversity and inclusion within public health organizations and the cultural factors influencing the COVID-19 pandemic. This comprehensive task combines quantitative analysis in statistics with qualitative examination of social and cultural dynamics affecting public health responses.
References
- McClave, J. T., & Sincich, T. (2018). Statistics. Pearson.
- Moore, D. S., McCabe, G. P., & Craig, B. A. (2017). Introduction to the Practice of Statistics. W.H. Freeman.
- Bhopal, R. (2018). Concepts of Epidemiology. Oxford University Press.
- Scholarly articles from journals such as the American Journal of Public Health and Social Science & Medicine.
- World Health Organization (WHO). (2020). COVID-19 Strategic Preparedness and Response Plan. WHO.
- Centers for Disease Control and Prevention (CDC). (2021). COVID-19 and Social Vulnerability. CDC.
- Vaughan, E., & Tinker, T. (2019). Public Health and Cultural Competency. Health Education & Behavior.
- United Nations. (2020). Diversity and Inclusion in Global Health. UN Publications.
- Public health organization websites and reports related to diversity initiatives and COVID-19 cultural impacts.
- Additional academic sources discussing statistical methods, public health strategies, and social determinants of health.