Description
A matrix is given.
1 | 0 | −7 | 0 | ||||
0 | 1 | 8 | 0 | ||||
0 | 0 | 0 | 1 |
(c) Write the system of equations for which the given matrix is the augmented matrix. (Enter each answer in terms of x, y, and z.)
x + | = | 0 |
y + | = | 0 |
= | 1 |
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Explanation & Answer
x-7z=0
y+8z=0
0=1
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DATA 565 UOP Wk 1 Scope & Descriptive Statistics & the Box Plot Worksheet
Assignment ContentResources: Pastas R Us, Inc. Database & Microsoft Excel®, Wk 1: Descriptive Statistics Analysis Assignm ...
DATA 565 UOP Wk 1 Scope & Descriptive Statistics & the Box Plot Worksheet
Assignment ContentResources: Pastas R Us, Inc. Database & Microsoft Excel®, Wk 1: Descriptive Statistics Analysis AssignmentPurpose This assignment is intended to help you learn how to apply statistical methods when analyzing operational data, evaluating the performance of current marketing strategies, and recommending actionable business decisions. This is an opportunity to build critical-thinking and problem-solving skills within the context of data analysis and interpretation. You’ll gain a first-hand understanding of how data analytics supports decision-making and adds value to an organization. Scenario: Pastas R Us, Inc. is a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. Since its inception, the business development team has favored opening new restaurants in areas (within a 3-mile radius) that satisfy the following demographic conditions:Median age between 25 – 45 years oldHousehold median income above national averageAt least 15% college educated adult populationLast year, the marketing department rolled out a Loyalty Card strategy to increase sales. Under this program, customers present their Loyalty Card when paying for their orders and receive some free food after making 10 purchases.The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., Loyalty Card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1200 sq. ft. restaurant recorded $2 million in sales last year, then it sold $1,667 per sq. ft.Executive management wants to know whether the current expansion criteria can be improved. They want to evaluate the effectiveness of the Loyalty Card marketing strategy and identify feasible, actionable opportunities for improvement. As a member of the analytics department, you’ve been assigned the responsibility of conducting a thorough statistical analysis of the company’s available database to answer executive management’s questions.Report: Write a 750-word statistical report that includes the following sections:Section 1: Scope and descriptive statisticsSection 2: AnalysisSection 3: Recommendations and ImplementationSection 1 - Scope and descriptive statisticsState the report’s objective.Discuss the nature of the current database. What variables were analyzed?Summarize your descriptive statistics findings from Excel. Use a table and insert appropriate graphs.Section 2 - Analysis Using Excel, create scatter plots and display the regression equations for the following pairs of variables:“BachDeg%” versus “Sales/SqFt”“MedIncome” versus “Sales/SqFt”“MedAge” versus “Sales/SqFt”“LoyaltyCard(%)” versus “SalesGrowth(%)”In your report, include the scatter plots. For each scatter plot, designate the type of relationship observed (increasing/positive, decreasing/negative, or no relationship) and determine what you can conclude from these relationships. Section 3: Recommendations and implementationBased on your findings above, assess which expansion criteria seem to be more effective.Could any expansion criterion be changed or eliminated? If so, which one and why?Based on your findings above, does it appear as if the Loyalty Card is positively correlated with sales growth? Would you recommend changing this marketing strategy?Based on your previous findings, recommend marketing positioning that targets a specific demographic. (Hint: Are younger people patronizing the restaurants more than older people?)Indicate what information should be collected to track and evaluate the effectiveness of your recommendations. How can this data be collected? (Hint: Would you use survey/samples or census?) Cite references to support your assignment.Format your citations according to APA guidelines.
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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. 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DATA 565 UOP Wk 1 Scope & Descriptive Statistics & the Box Plot Worksheet
Assignment ContentResources: Pastas R Us, Inc. Database & Microsoft Excel®, Wk 1: Descriptive Statistics Analysis Assignm ...
DATA 565 UOP Wk 1 Scope & Descriptive Statistics & the Box Plot Worksheet
Assignment ContentResources: Pastas R Us, Inc. Database & Microsoft Excel®, Wk 1: Descriptive Statistics Analysis AssignmentPurpose This assignment is intended to help you learn how to apply statistical methods when analyzing operational data, evaluating the performance of current marketing strategies, and recommending actionable business decisions. This is an opportunity to build critical-thinking and problem-solving skills within the context of data analysis and interpretation. You’ll gain a first-hand understanding of how data analytics supports decision-making and adds value to an organization. Scenario: Pastas R Us, Inc. is a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. Since its inception, the business development team has favored opening new restaurants in areas (within a 3-mile radius) that satisfy the following demographic conditions:Median age between 25 – 45 years oldHousehold median income above national averageAt least 15% college educated adult populationLast year, the marketing department rolled out a Loyalty Card strategy to increase sales. Under this program, customers present their Loyalty Card when paying for their orders and receive some free food after making 10 purchases.The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., Loyalty Card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1200 sq. ft. restaurant recorded $2 million in sales last year, then it sold $1,667 per sq. ft.Executive management wants to know whether the current expansion criteria can be improved. They want to evaluate the effectiveness of the Loyalty Card marketing strategy and identify feasible, actionable opportunities for improvement. As a member of the analytics department, you’ve been assigned the responsibility of conducting a thorough statistical analysis of the company’s available database to answer executive management’s questions.Report: Write a 750-word statistical report that includes the following sections:Section 1: Scope and descriptive statisticsSection 2: AnalysisSection 3: Recommendations and ImplementationSection 1 - Scope and descriptive statisticsState the report’s objective.Discuss the nature of the current database. What variables were analyzed?Summarize your descriptive statistics findings from Excel. Use a table and insert appropriate graphs.Section 2 - Analysis Using Excel, create scatter plots and display the regression equations for the following pairs of variables:“BachDeg%” versus “Sales/SqFt”“MedIncome” versus “Sales/SqFt”“MedAge” versus “Sales/SqFt”“LoyaltyCard(%)” versus “SalesGrowth(%)”In your report, include the scatter plots. For each scatter plot, designate the type of relationship observed (increasing/positive, decreasing/negative, or no relationship) and determine what you can conclude from these relationships. Section 3: Recommendations and implementationBased on your findings above, assess which expansion criteria seem to be more effective.Could any expansion criterion be changed or eliminated? If so, which one and why?Based on your findings above, does it appear as if the Loyalty Card is positively correlated with sales growth? Would you recommend changing this marketing strategy?Based on your previous findings, recommend marketing positioning that targets a specific demographic. (Hint: Are younger people patronizing the restaurants more than older people?)Indicate what information should be collected to track and evaluate the effectiveness of your recommendations. How can this data be collected? (Hint: Would you use survey/samples or census?) Cite references to support your assignment.Format your citations according to APA guidelines.
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.
8 pages
Answersmidterm 1 Practice
A. You manage a risky portfolio with an expected rate of return of 17% and a standard i. What is the Sharpe ratio of the r ...
Answersmidterm 1 Practice
A. You manage a risky portfolio with an expected rate of return of 17% and a standard i. What is the Sharpe ratio of the risky portfolio?
FIN 307 Grantham University Principle of Finance Questions
Week 2 Questions Complete the following textbook questions: Chapter 4: Questions 4-1 through 4-5 on page 183 Chapter 5: ...
FIN 307 Grantham University Principle of Finance Questions
Week 2 Questions Complete the following textbook questions: Chapter 4: Questions 4-1 through 4-5 on page 183 Chapter 5: Questions 5-1 through 5-5 on page 231 Business School Assignment Instructions The requirements below must be met for your paper to be accepted and graded: Write between 750 – 1,250 words (approximately 3 – 5 pages) using Microsoft Word in APA style, see example below. Use font size 12 and 1” margins. Include cover page and reference page. At least 80% of your paper must be original content/writing. No more than 20% of your content/information may come from references. Use at least three references from outside the course material; one reference must be from EBSCOhost. Text book, lectures, and other materials in the course may be used, but are not counted toward the three reference requirement. Cite all reference material (data, dates, graphs, quotes, paraphrased words, values, etc.) in the paper and list on a reference page in APA style.Please find attached questions for assignment. Please provide original work. No plagiarizing.
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Order 16513229
A1 hotels in the recent past has adopted various metrics to assess the quality of services and products it uses in attempt ...
Order 16513229
A1 hotels in the recent past has adopted various metrics to assess the quality of services and products it uses in attempt to enhance customer ...
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