Description
Use a calculator to approximate the value rounded to three decimal places.
A. 24.125
B. 24.124
C. 8.350
D. 8.349
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Deliverable 03 Questions
1. Discuss the importance of constructing confidence intervals for the population mean by o What is the best point estimat ...
Deliverable 03 Questions
1. Discuss the importance of constructing confidence intervals for the population mean by o What is the best point estimate for the population mean? ...
Final project
his Assignment has two parts. Part 1 has questions about forecasting. You will submit your answers for the first part usin ...
Final project
his Assignment has two parts. Part 1 has questions about forecasting. You will submit your answers for the first part using the Unit 6 Assignment template for Part 1.Part 2 requires you to analyze a case. For this, you will prepare a PowerPoint presentation to present your findings.The data you need for Part 2 is provided in an Excel file in the course. Make sure to use that file. Do not type anything manually from the case or use other sources for the data.View the Assignment Rubric for full Assignment details.Assignment RubricUse this spreadsheet to complete Part 2 of this Assignment.
Exchange Paradox, statistics homework help
Rest of the problems are in the attached file. I also attached book.1.(the Exchange Paradox) You’re playing the followin ...
Exchange Paradox, statistics homework help
Rest of the problems are in the attached file. I also attached book.1.(the Exchange Paradox) You’re playing the following game against an opponent,
with a referee also taking part. The referee has two envelopes (numbered 1 and 2 for the sake of
this problem, but when the game is played the envelopes have no markings on them), and (without
you or your opponent seeing what she does) she puts $m in envelope 1 and $2 m in envelope 2 for
some m > 0 (treat m as continuous in this problem even though in practice it would have to be
rounded to the nearest dollar or penny). You and your opponent each get one of the envelopes
at random. You open your envelope secretly and find $x (your opponent also looks secretly in his
envelope), and the referee then asks you if you want to trade envelopes with your opponent. You
reason that if you trade, you will get either $ x
2 or $2 x, each with probability 1
2 . This makes the
expected value of the amount of money you’ll get if you trade equal to
1
2
$x
2
+
1
2
($2 x) = $5x
4 ,
which is greater than the $x you currently have, so you o↵er to trade. The paradox is that your
opponent is capable of making exactly the same calculation. How can the trade be advantageous
for both of you?
Montgomery College Requirements on Sampling Population Distribution Discussion
Experience 8 Critical Thinking Questions: What are the requirements on sampling and the population so that the distrib ...
Montgomery College Requirements on Sampling Population Distribution Discussion
Experience 8 Critical Thinking Questions: What are the requirements on sampling and the population so that the distribution of sample means is approximately normal? [2 bullets] How do you calculate the mean and standard deviation of the sampling distribution for sample means? [2 sentences] What is the effect of increasing sample size on the sampling distribution and what does this mean in terms of the central limit theorem? [2 sentences] Why is the standard deviation of the sampling distribution smaller than the standard deviation of the population from which it came? [3 sentences] Experience 9 Critical Thinking How do you find the margin of error from the lower and upper bounds of a confidence interval? [1 sentence] What is the effect of increasing the standard deviation on the margin of error? [2 sentences] Why does increasing the confidence level result in a larger margin of error? [2 sentences] Why would you be more likely to use a T-interval in a real-world situation than a Z-interval? [2 sentences] When do you use the t-distribution to determine the confidence interval for the mean? [3 sentences] Experience 9 Practice You measure 34 turtles' weights, and find they have a mean weight of 58 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, construct a 99% confidence interval for the true population mean turtle weight. Give your answers as decimals, to two places ±± ounces Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 15 with a mean of 33.2 and a standard deviation of 8.6 at a confidence level of 99%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 78.2 for a sample of size 455 and standard deviation 9.8. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). < μ < Answer should be obtained without any preliminary rounding. You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 39.2 11.8 24.4 33.6 22.4 46.9 38.6 42.5 Find the 95% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 95% C.I. = SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer. Experience 9 Application A generic drug is being tested to test its efficacy (effectiveness) at reducing blood pressure in patients with hypertension (a.k.a. high blood pressure). In a randomized, double-blind experiment with 200 patients, 100 are given the name-brand drug (control group) and 100 are given a generic version of the drug (treatment group). In the control group, the average reduction in blood pressure is 15.2 mmHG with a standard deviation of 11.5 mmHG. In the treatment group, there is an average reduction of 14.6 mmHG and a standard deviation of 12.5 mmHG. Neither group has any outliers. A researcher claims that this study shows the generic drug is not as effective as the name-brand drug. What would be the reply of a statistician? You have two attempts for this problem so choose wisely. If you do not receive 5 points in the Gradebook after submitting this assignment then you have answered incorrectly. Make sure to try it again before the deadline. The standard deviations are quite large within each group relative to the size of the difference in point estimates. It is unclear if there is a real difference in the effectiveness of the two drugs or if the difference is just due to chance.While there is some uncertainty in the point estimates, the sample sizes for each group are large, indicating that the difference must be real.Because the difference in sample means is under 1 mmHG, we can safely conclude the drugs are equally effective.The point estimate for the generic drug is lower than that of the name-brand drug, which means the generic drug is less effective. The researcher is correct. Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 3 2.3 2.6 2.8 2.4 2.5 2.2 2.8 2.3 2.7 a. What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b. Which distribution should you use for this problem? t-distributionnormal distribution c. Why? d. What must be true in order to construct a confidence interval in this situation? The population must be approximately normalThe population standard deviation must be knownThe sample size must be greater than 30The population mean must be known e. Construct a 80% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places f. Interpret the confidence interval in a complete sentence. Make sure you include units g. What does it mean to be "80% confident" in this problem? Use the definition of confidence level. There is a 80% chance that the confidence interval contains the population meanThe confidence interval contains 80% of all samples80% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean h. Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible? NoYes Is it likely? YesNo i. Use the results above and make an argument in favor or against the company's statement. Structure your essay as follows: Describe the population and parameter for this situation. Describe the sample and statistic for this situation. Give a brief explanation of what a confidence interval is. Explain what type of confidence interval you can make in this situation and why. Interpret the confidence interval for this situation. Restate the company's claim and whether you agree with it or not. Use the confidence interval to estimate the likelihood of the company's claim being true. Suggest what the company should do.
5 pages
Program Level Assessment
1. Interpretation: Using complete sentences, explain the information represented by the The graph in this case shows the r ...
Program Level Assessment
1. Interpretation: Using complete sentences, explain the information represented by the The graph in this case shows the revenue that Gadgets Galore ...
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Most Popular Content
4 pages
Deliverable 03 Questions
1. Discuss the importance of constructing confidence intervals for the population mean by o What is the best point estimat ...
Deliverable 03 Questions
1. Discuss the importance of constructing confidence intervals for the population mean by o What is the best point estimate for the population mean? ...
Final project
his Assignment has two parts. Part 1 has questions about forecasting. You will submit your answers for the first part usin ...
Final project
his Assignment has two parts. Part 1 has questions about forecasting. You will submit your answers for the first part using the Unit 6 Assignment template for Part 1.Part 2 requires you to analyze a case. For this, you will prepare a PowerPoint presentation to present your findings.The data you need for Part 2 is provided in an Excel file in the course. Make sure to use that file. Do not type anything manually from the case or use other sources for the data.View the Assignment Rubric for full Assignment details.Assignment RubricUse this spreadsheet to complete Part 2 of this Assignment.
Exchange Paradox, statistics homework help
Rest of the problems are in the attached file. I also attached book.1.(the Exchange Paradox) You’re playing the followin ...
Exchange Paradox, statistics homework help
Rest of the problems are in the attached file. I also attached book.1.(the Exchange Paradox) You’re playing the following game against an opponent,
with a referee also taking part. The referee has two envelopes (numbered 1 and 2 for the sake of
this problem, but when the game is played the envelopes have no markings on them), and (without
you or your opponent seeing what she does) she puts $m in envelope 1 and $2 m in envelope 2 for
some m > 0 (treat m as continuous in this problem even though in practice it would have to be
rounded to the nearest dollar or penny). You and your opponent each get one of the envelopes
at random. You open your envelope secretly and find $x (your opponent also looks secretly in his
envelope), and the referee then asks you if you want to trade envelopes with your opponent. You
reason that if you trade, you will get either $ x
2 or $2 x, each with probability 1
2 . This makes the
expected value of the amount of money you’ll get if you trade equal to
1
2
$x
2
+
1
2
($2 x) = $5x
4 ,
which is greater than the $x you currently have, so you o↵er to trade. The paradox is that your
opponent is capable of making exactly the same calculation. How can the trade be advantageous
for both of you?
Montgomery College Requirements on Sampling Population Distribution Discussion
Experience 8 Critical Thinking Questions: What are the requirements on sampling and the population so that the distrib ...
Montgomery College Requirements on Sampling Population Distribution Discussion
Experience 8 Critical Thinking Questions: What are the requirements on sampling and the population so that the distribution of sample means is approximately normal? [2 bullets] How do you calculate the mean and standard deviation of the sampling distribution for sample means? [2 sentences] What is the effect of increasing sample size on the sampling distribution and what does this mean in terms of the central limit theorem? [2 sentences] Why is the standard deviation of the sampling distribution smaller than the standard deviation of the population from which it came? [3 sentences] Experience 9 Critical Thinking How do you find the margin of error from the lower and upper bounds of a confidence interval? [1 sentence] What is the effect of increasing the standard deviation on the margin of error? [2 sentences] Why does increasing the confidence level result in a larger margin of error? [2 sentences] Why would you be more likely to use a T-interval in a real-world situation than a Z-interval? [2 sentences] When do you use the t-distribution to determine the confidence interval for the mean? [3 sentences] Experience 9 Practice You measure 34 turtles' weights, and find they have a mean weight of 58 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, construct a 99% confidence interval for the true population mean turtle weight. Give your answers as decimals, to two places ±± ounces Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 15 with a mean of 33.2 and a standard deviation of 8.6 at a confidence level of 99%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 78.2 for a sample of size 455 and standard deviation 9.8. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). < μ < Answer should be obtained without any preliminary rounding. You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 39.2 11.8 24.4 33.6 22.4 46.9 38.6 42.5 Find the 95% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 95% C.I. = SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer. Experience 9 Application A generic drug is being tested to test its efficacy (effectiveness) at reducing blood pressure in patients with hypertension (a.k.a. high blood pressure). In a randomized, double-blind experiment with 200 patients, 100 are given the name-brand drug (control group) and 100 are given a generic version of the drug (treatment group). In the control group, the average reduction in blood pressure is 15.2 mmHG with a standard deviation of 11.5 mmHG. In the treatment group, there is an average reduction of 14.6 mmHG and a standard deviation of 12.5 mmHG. Neither group has any outliers. A researcher claims that this study shows the generic drug is not as effective as the name-brand drug. What would be the reply of a statistician? You have two attempts for this problem so choose wisely. If you do not receive 5 points in the Gradebook after submitting this assignment then you have answered incorrectly. Make sure to try it again before the deadline. The standard deviations are quite large within each group relative to the size of the difference in point estimates. It is unclear if there is a real difference in the effectiveness of the two drugs or if the difference is just due to chance.While there is some uncertainty in the point estimates, the sample sizes for each group are large, indicating that the difference must be real.Because the difference in sample means is under 1 mmHG, we can safely conclude the drugs are equally effective.The point estimate for the generic drug is lower than that of the name-brand drug, which means the generic drug is less effective. The researcher is correct. Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 3 2.3 2.6 2.8 2.4 2.5 2.2 2.8 2.3 2.7 a. What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b. Which distribution should you use for this problem? t-distributionnormal distribution c. Why? d. What must be true in order to construct a confidence interval in this situation? The population must be approximately normalThe population standard deviation must be knownThe sample size must be greater than 30The population mean must be known e. Construct a 80% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places f. Interpret the confidence interval in a complete sentence. Make sure you include units g. What does it mean to be "80% confident" in this problem? Use the definition of confidence level. There is a 80% chance that the confidence interval contains the population meanThe confidence interval contains 80% of all samples80% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean h. Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible? NoYes Is it likely? YesNo i. Use the results above and make an argument in favor or against the company's statement. Structure your essay as follows: Describe the population and parameter for this situation. Describe the sample and statistic for this situation. Give a brief explanation of what a confidence interval is. Explain what type of confidence interval you can make in this situation and why. Interpret the confidence interval for this situation. Restate the company's claim and whether you agree with it or not. Use the confidence interval to estimate the likelihood of the company's claim being true. Suggest what the company should do.
5 pages
Program Level Assessment
1. Interpretation: Using complete sentences, explain the information represented by the The graph in this case shows the r ...
Program Level Assessment
1. Interpretation: Using complete sentences, explain the information represented by the The graph in this case shows the revenue that Gadgets Galore ...
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