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Probability and Inferential Statistics Analysis
1. A patient is classified as having gestational diabetes if their glucose level is above 140 milligrams per deciliter (mg ...
Probability and Inferential Statistics Analysis
1. A patient is classified as having gestational diabetes if their glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with ?= 140+X mg/dl and ? = X+1 mg/dl, where X is the last digit of your GCU student ID number. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured:
Once?
X+1 times, where X is the last digit of your student ID?
X+4 times, where X is the last digit of your student ID?
Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 9X percent reliable, gestational diabetes affects X+1 percent of the population in our patient’s age group, and that our test has a false positive rate of X+4 percent. Compute the following quantities based on this new information:
If 100,000 people take the blood test, how many people that test positive will actually have gestational diabetes?
What is the probability of having the disease given that you test positive?
If 100,000 people take the blood test, how many people that test negative despite actually having gestational diabetes?
What is the probability of having the disease given that you tested negative?
Comment on what you observe in the above computations. How does the prevalence of the disease affect whether the test can be trusted?
3. As we have seen in class, hypothesis testing and confidence intervals are the most common inferential tools used in statistics. Imagine that you have been tasked with designing an experiment to determine reliably if a patient should be diagnosed with diabetes based on their blood test results. Create a short outline of your experiment, including all of the following:
A detailed discussion of your experimental design.
How is randomization used in your sampling or assignment strategy?
The type of inferential test utilized in your experiment.
A formal statement of the null and alternative hypothesis for your test.
A confidence interval for estimating the parameter in your test.
An interpretation of your p-value and confidence interval, including what they mean in context of your experimental design
4 pages
Correlation And Bivariate Regression
The article by Ahmad et al. (2018) details a quantitative study on the correlation between class absenteeism and academic ...
Correlation And Bivariate Regression
The article by Ahmad et al. (2018) details a quantitative study on the correlation between class absenteeism and academic performance. In the study, ...
Healthcare Statistics & Research
Your CEO wants to review the benchmarking data used to compare Choice Hospital with other hospitals in the same geographic ...
Healthcare Statistics & Research
Your CEO wants to review the benchmarking data used to compare Choice Hospital with other hospitals in the same geographic region. The Board of Directors is looking at expanding the Emergency Department or adding more in-patient beds. The CEO needs to know how Choice Hospital compares with other hospitals in the region to be part of the discussion and inform decisions on expansion in these areas.As you assume the role the HCA at Choice Hospital, provide the data and analysis requested by your CEO as described below. In this exercise, assume that Choice Hospital is located in Colorado, and use these data provided by the Colorado Hospital Association for Colorado hospitals. If you wish to find data for your own state of residence, you may do that and start your search at your state’s Department of Health Web site.For comparison of Choice Hospital to others in the state of Colorado of comparable size, you will use the specific data points requested, perform the calculations, and prepare the presentation of the data as follows:You will first review the data available and summarize the data points as specified for this presentation by placing them in an Excel spreadsheet.Calculate descriptive statistics for the data, as specified below.Prepare an Excel spreadsheet of the data.Review the data in the spreadsheet, and prepare a discussion of the data for Colorado hospitals compared to the data for Choice Hospital.The table below includes the data for Choice Hospital:
HospitalLicensed BedsTotal DischargesTotal Patient DaysInpatient SurgeriesBirthsInpatient Admissions for Emergency DepartmentsEmergency Department VisitsTotal Outpatient VisitsChoice Hospital30015,27970,2834,0122564,78113,34298,993From these data, calculate the average length of stay (ALOS) for Choice Hospital.Now look at the data for Colorado Hospitals at the link provided. Because Choice Hospital is a 300-bed facility, identify the hospitals that have between 200 and 400 licensed beds. Those are the hospitals that you will use for your comparison to Choice Hospital. In your Excel spreadsheet, do the following:List the hospitals that have 200–400 licensed beds in the first column, with 1 hospital listed per row.Next, for each of those hospitals, enter the data in separate columns for Total Patient Days and Total Discharges.In the next column, enter your calculation for ALOS using the data for Total Patient Days and Total Discharges.At the bottom of the column for ALOS, calculate the mean and standard deviation for the average length of stay for all of the hospitals.Enter the mean and standard deviation in the cells below in that column, and be sure to identify which value is the mean and which is the standard deviation.You will submit your Excel spreadsheet along with your 600-800 word summary.Now that you have the data on ALOS for your comparison hospitals, write 600-800 word summary, not including the title page or reference page, and discuss the following:Consider the average length of stay for Choice Hospital that you calculated using the data for Choice Hospital. How does that compare to the ALOS on average for the hospitals in Colorado with similar numbers of licensed beds from your calculation?Identify the range of ALOS for the hospitals, and consider the standard deviation value.Did you calculate the standard deviation of a sample or of the entire population?What is the difference?Explain why you chose the one that you did.Research the ALOS for the United States, and find a statistic that is within the last 5 years. The ALOS may be an overall average or based on the number of beds.State the ALOS for the United States that you found in your research, and be sure to cite the reference source.How does the ALOS for Choice Hospital compare to the national average?
Discussion Post Conditional Probability Business Statistics 150 words
Conditional ProbabilityIn §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) d ...
Discussion Post Conditional Probability Business Statistics 150 words
Conditional ProbabilityIn §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) denotes the probability of event A occurring given that we know event B has occurred. Now consider the Monty Hall Problem introduced in the following video:https://m.youtube.com/watch?v=4Lb-6rxZxx0After watching this video, we know that if we are given the option to switch doors that, probabilistically speaking, it is in our best interest to switch. Explain why this is the case using your knowledge of conditional probability"should be a minimum of 150 words 300 words max. If you use any source outside of your own thoughts, you should reference that source. Include solid grammar, punctuation, sentence structure, and spelling."
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Power Appliance
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Most Popular Content
Probability and Inferential Statistics Analysis
1. A patient is classified as having gestational diabetes if their glucose level is above 140 milligrams per deciliter (mg ...
Probability and Inferential Statistics Analysis
1. A patient is classified as having gestational diabetes if their glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with ?= 140+X mg/dl and ? = X+1 mg/dl, where X is the last digit of your GCU student ID number. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured:
Once?
X+1 times, where X is the last digit of your student ID?
X+4 times, where X is the last digit of your student ID?
Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 9X percent reliable, gestational diabetes affects X+1 percent of the population in our patient’s age group, and that our test has a false positive rate of X+4 percent. Compute the following quantities based on this new information:
If 100,000 people take the blood test, how many people that test positive will actually have gestational diabetes?
What is the probability of having the disease given that you test positive?
If 100,000 people take the blood test, how many people that test negative despite actually having gestational diabetes?
What is the probability of having the disease given that you tested negative?
Comment on what you observe in the above computations. How does the prevalence of the disease affect whether the test can be trusted?
3. As we have seen in class, hypothesis testing and confidence intervals are the most common inferential tools used in statistics. Imagine that you have been tasked with designing an experiment to determine reliably if a patient should be diagnosed with diabetes based on their blood test results. Create a short outline of your experiment, including all of the following:
A detailed discussion of your experimental design.
How is randomization used in your sampling or assignment strategy?
The type of inferential test utilized in your experiment.
A formal statement of the null and alternative hypothesis for your test.
A confidence interval for estimating the parameter in your test.
An interpretation of your p-value and confidence interval, including what they mean in context of your experimental design
4 pages
Correlation And Bivariate Regression
The article by Ahmad et al. (2018) details a quantitative study on the correlation between class absenteeism and academic ...
Correlation And Bivariate Regression
The article by Ahmad et al. (2018) details a quantitative study on the correlation between class absenteeism and academic performance. In the study, ...
Healthcare Statistics & Research
Your CEO wants to review the benchmarking data used to compare Choice Hospital with other hospitals in the same geographic ...
Healthcare Statistics & Research
Your CEO wants to review the benchmarking data used to compare Choice Hospital with other hospitals in the same geographic region. The Board of Directors is looking at expanding the Emergency Department or adding more in-patient beds. The CEO needs to know how Choice Hospital compares with other hospitals in the region to be part of the discussion and inform decisions on expansion in these areas.As you assume the role the HCA at Choice Hospital, provide the data and analysis requested by your CEO as described below. In this exercise, assume that Choice Hospital is located in Colorado, and use these data provided by the Colorado Hospital Association for Colorado hospitals. If you wish to find data for your own state of residence, you may do that and start your search at your state’s Department of Health Web site.For comparison of Choice Hospital to others in the state of Colorado of comparable size, you will use the specific data points requested, perform the calculations, and prepare the presentation of the data as follows:You will first review the data available and summarize the data points as specified for this presentation by placing them in an Excel spreadsheet.Calculate descriptive statistics for the data, as specified below.Prepare an Excel spreadsheet of the data.Review the data in the spreadsheet, and prepare a discussion of the data for Colorado hospitals compared to the data for Choice Hospital.The table below includes the data for Choice Hospital:
HospitalLicensed BedsTotal DischargesTotal Patient DaysInpatient SurgeriesBirthsInpatient Admissions for Emergency DepartmentsEmergency Department VisitsTotal Outpatient VisitsChoice Hospital30015,27970,2834,0122564,78113,34298,993From these data, calculate the average length of stay (ALOS) for Choice Hospital.Now look at the data for Colorado Hospitals at the link provided. Because Choice Hospital is a 300-bed facility, identify the hospitals that have between 200 and 400 licensed beds. Those are the hospitals that you will use for your comparison to Choice Hospital. In your Excel spreadsheet, do the following:List the hospitals that have 200–400 licensed beds in the first column, with 1 hospital listed per row.Next, for each of those hospitals, enter the data in separate columns for Total Patient Days and Total Discharges.In the next column, enter your calculation for ALOS using the data for Total Patient Days and Total Discharges.At the bottom of the column for ALOS, calculate the mean and standard deviation for the average length of stay for all of the hospitals.Enter the mean and standard deviation in the cells below in that column, and be sure to identify which value is the mean and which is the standard deviation.You will submit your Excel spreadsheet along with your 600-800 word summary.Now that you have the data on ALOS for your comparison hospitals, write 600-800 word summary, not including the title page or reference page, and discuss the following:Consider the average length of stay for Choice Hospital that you calculated using the data for Choice Hospital. How does that compare to the ALOS on average for the hospitals in Colorado with similar numbers of licensed beds from your calculation?Identify the range of ALOS for the hospitals, and consider the standard deviation value.Did you calculate the standard deviation of a sample or of the entire population?What is the difference?Explain why you chose the one that you did.Research the ALOS for the United States, and find a statistic that is within the last 5 years. The ALOS may be an overall average or based on the number of beds.State the ALOS for the United States that you found in your research, and be sure to cite the reference source.How does the ALOS for Choice Hospital compare to the national average?
Discussion Post Conditional Probability Business Statistics 150 words
Conditional ProbabilityIn §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) d ...
Discussion Post Conditional Probability Business Statistics 150 words
Conditional ProbabilityIn §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) denotes the probability of event A occurring given that we know event B has occurred. Now consider the Monty Hall Problem introduced in the following video:https://m.youtube.com/watch?v=4Lb-6rxZxx0After watching this video, we know that if we are given the option to switch doors that, probabilistically speaking, it is in our best interest to switch. Explain why this is the case using your knowledge of conditional probability"should be a minimum of 150 words 300 words max. If you use any source outside of your own thoughts, you should reference that source. Include solid grammar, punctuation, sentence structure, and spelling."
1 page
Power Appliance
Total amount of energy consumed by all appliances during an average day = 111.71 KWh Total amount of energy consumed by al ...
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Total amount of energy consumed by all appliances during an average day = 111.71 KWh Total amount of energy consumed by all appliances during an ...
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