Description
Use part I of the Fundamental Theorem of Calculus to find the derivative of:
F(x) = ( b = 4 , a = x) sin(t^3)dt
Here is part I of the fundamental Theorem of Calculus:
g(x) = (b = x, a = a) f(t)dt a<- x <- b is continuous on a, b g'(x) = f(x)
chain Rule
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Explanation & Answer
Part I of the Fundamental Theorem of Calculus says that if F(x) = (b , a = x) f(t)dt, then F'(x)= f(x). This just means replace t with x and you are done!!!
So for F(x) = ( b = 4 , a = x) sin(t^3)dt, then F'(x)= sin(x^3). It is that easy
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submissions to make any necessary corrections. Remember if you have
questions about the feedback to ask your instructor for assistance.Once you have made your corrections, you will compile your
information from Phase 1, Phase 2, Phase 3 and your final conclusion
into one submission and submit this as your rough draft for Phase 4 of
the course project. Below is a summary of the expectations for Phase 4
of the course project:Introduce your scenario and data set.Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
Classify the variables in your data set.Which variables are quantitative/qualitative?
Which variables are discrete/continuous?
Describe the level of measurement for each variable included in your data set.
Discuss the importance of the Measures of Center and the Measures of Variation.What are the measures of center and why are they important?
What are the measures of variation and why are they important?
Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.Mean
Median
Mode
Midrange
Range
Variance
Standard Deviantion
Discuss the importance of constructing confidence intervals for the population mean.What are confidence intervals?
What is a point estimate?
What is the best point estimate for the population mean? Explain.
Why do we need confidence intervals?
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.
Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.Please show your work for the construction of this
confidence interval and be sure to use the Equation Editor to format
your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.
Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.Please show your work for the construction of this
confidence interval and be sure to use the Equation Editor to format
your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Compare and contrast your findings for the 95% and 99% confidence interval.Did you notice any changes in your interval estimate? Explain.
What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.
Discuss the process for hypothesis testing.Discuss the 8 steps of hypothesis testing?
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Perform the hypothesis test.
If you selected Option 1:
Original Claim: The average salary for all jobs in Minnesota is less than $65,000.
Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
If you selected Option 2:
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Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
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What is the critical value?
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Explain why you made your decision including the results for your p-value and the critical value.
State the final conclusion in non-technical terms.
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Please be sure to show all of your work and use the Equation Editor to format your equations.
This assignment should be formatted using APA guidelines and a minimum of 2 pages in length.
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assessments of surgical patients prior to their procedures. Set in June
2009, this case study describes the conditions of this busy outpatient
clinic prior to a process improvement effort by a collaborative team
of MIT Sloan students and faculty and MGH clinicians and administrative
staff. It also examines the complete PATA experience from both the
patient and provider perspective. The importance of improving PATA is
emphasized through a description of how this relatively small clinic
has a very large downstream effect on the MGH operating rooms and the
entire perioperative care system.You are required to review the entire case study information
available at the reference above and write a paper based on the
suggested case questions below.Construct a process flow diagram of the PATA visit from a
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decide if and where there is a bottleneck in the clinic. If a
bottleneck does indeed exist, how long do patients wait as a result of
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were filled and patients arrived on time.)Evaluate the three Task Force diagnoses - not enough time between
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Learning Activity Statistics Exercises Template
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Type your answers directly in the document in the spaces provided. Please consider highlighting, starring*, or changing the font color of answers for ...
Course Project , statistics homework help
This week you will begin working on Phase 4 of your course project.
For Phase 4 of your course project, you will want ...
Course Project , statistics homework help
This week you will begin working on Phase 4 of your course project.
For Phase 4 of your course project, you will want to review your
instructor's feedback from your Phase 1, Phase 2, and Phase 3
submissions to make any necessary corrections. Remember if you have
questions about the feedback to ask your instructor for assistance.Once you have made your corrections, you will compile your
information from Phase 1, Phase 2, Phase 3 and your final conclusion
into one submission and submit this as your rough draft for Phase 4 of
the course project. Below is a summary of the expectations for Phase 4
of the course project:Introduce your scenario and data set.Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
Classify the variables in your data set.Which variables are quantitative/qualitative?
Which variables are discrete/continuous?
Describe the level of measurement for each variable included in your data set.
Discuss the importance of the Measures of Center and the Measures of Variation.What are the measures of center and why are they important?
What are the measures of variation and why are they important?
Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.Mean
Median
Mode
Midrange
Range
Variance
Standard Deviantion
Discuss the importance of constructing confidence intervals for the population mean.What are confidence intervals?
What is a point estimate?
What is the best point estimate for the population mean? Explain.
Why do we need confidence intervals?
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.
Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.Please show your work for the construction of this
confidence interval and be sure to use the Equation Editor to format
your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.
Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.Please show your work for the construction of this
confidence interval and be sure to use the Equation Editor to format
your equations.
Write a statement that correctly interprets the confidence interval in context of your selected topic.
Compare and contrast your findings for the 95% and 99% confidence interval.Did you notice any changes in your interval estimate? Explain.
What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.
Discuss the process for hypothesis testing.Discuss the 8 steps of hypothesis testing?
When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?
Perform the hypothesis test.
If you selected Option 1:
Original Claim: The average salary for all jobs in Minnesota is less than $65,000.
Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
If you selected Option 2:
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Is the test two-tailed, left-tailed, or right-tailed? Explain.
Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
What is the value of the test-statistic? What is the P-value?
What is the critical value?
5.) What is your decision; reject the null or do not reject the null?
Explain why you made your decision including the results for your p-value and the critical value.
State the final conclusion in non-technical terms.
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Please be sure to show all of your work and use the Equation Editor to format your equations.
This assignment should be formatted using APA guidelines and a minimum of 2 pages in length.
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Queuing questions
Case: Massachusetts General Hospital’s Pre-admission Testing Area (PATA)McCarty, Kelsey, Gallien, et al. (2012, January ...
Queuing questions
Case: Massachusetts General Hospital’s Pre-admission Testing Area (PATA)McCarty, Kelsey, Gallien, et al. (2012, January 3). Massachusetts General Hospital's Pre-admission Testing Area (PATA). MIT Sloan School of Management. Case: 11–116. Retrieved from https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspxIf the hyperlink above does not work directly (you do not need to
register to MIT site), please copy the link below to your browser to
open the case page directly: https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspxThe Pre-Admission Testing Area (PATA) is an outpatient clinic at
Massachusetts General Hospital responsible for conducting preoperative
assessments of surgical patients prior to their procedures. Set in June
2009, this case study describes the conditions of this busy outpatient
clinic prior to a process improvement effort by a collaborative team
of MIT Sloan students and faculty and MGH clinicians and administrative
staff. It also examines the complete PATA experience from both the
patient and provider perspective. The importance of improving PATA is
emphasized through a description of how this relatively small clinic
has a very large downstream effect on the MGH operating rooms and the
entire perioperative care system.You are required to review the entire case study information
available at the reference above and write a paper based on the
suggested case questions below.Construct a process flow diagram of the PATA visit from a
patient's perspective. Calculate the capacity and utilization rate at
each step in the process.Use capacity analysis tools (build-up diagrams or/and queuing) to
decide if and where there is a bottleneck in the clinic. If a
bottleneck does indeed exist, how long do patients wait as a result of
the bottleneck? (As an approximation, assume that all appointment slots
were filled and patients arrived on time.)Evaluate the three Task Force diagnoses - not enough time between
appointments, not enough rooms, not enough physicians. Are these
diagnoses valid? If so, are they primary contributors to long patient
wait times? Why or why not?What factors contribute to variability in PATA process flow and what control, if any, does the clinic have to eliminate it?What changes would you recommend to improve PATA?Use the information provided in the Background readings. Please do any additional research as necessary.Review the information in PATA case study and become familiar with the products and processes.There is no set response to the case questions, so do not hesitate to think outside the box.It is essential to provide a well-written paper with detailed analysis.READ the information provided by the resources and references on the
Background page. Understand the theory and concept of process
management and productivity improvement.NOTE: Cite the references in the Background, as well as additional references you use in your Case paper.The report should be at least 5–6 pagesBackground Reading:Global Text Project (2017), Operations management: Special topic: supply chain management. OpenStax CNX. Retrieved from: https://cnx.org/contents/EEichvM_@5/Operations-management-What-is-Global Text Project (2017), Operations management: The input/output transformation model. OpenStax CNX. Retrieved from https://cnx.org/contents/_yBkSAt4@4/Operations-management-The-inpuMcCarty, Kelsey, Gallien, et al. (2012, January 3). Massachusetts General Hospital's Pre-admission Testing Area (PATA). MIT Sloan School of Management. Case: 11–116. Retrieved from https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspx Note - Copy link in your browser for going directly to the reading.Pink, Daniel H.(2001, August 31) Who Has the Next Big Idea? Fast Company Magazine, Retrieved from https://www.fastcompany.com/43595/who-has-next-big-ideaHow the U.S. Dept. of Labor measure productivity. (2017). U.S. Dept. of Labor, Bureau of Labor Statistics. Retrieved from http://www.bls.gov/bls/productivity.htm
PSY520 San Diego State University Correlation and Regression Project
Select at least three variables that you believe have a linear relationship. Specify how you will measure ...
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Select at least three variables that you believe have a linear relationship. Specify how you will measure each of these variables (i.e., what instrument will you use and provide an APA reference for the instrument) Collect the data for these variables and describe the data collection technique and why it was appropriate as well as why the sample size was best. Submit the data collected by submitting the SPSS data file with your submission. Find the Correlation coefficient for each of the possible pairings of variables and describe the relationship in terms of strength and direction. Find a linear model of the relationship between the three (or more) variables of interest. Identify the predictor variables and the criterion variable. Provide an output of the SPSS results and interpret the results using correct APA style.
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