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Perform the indicated operations and simplify:
9(x+3)−2(x−5)
enter algebraic expression
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9(x+3)−...
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MidtermThere are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox. The Grantham Late policy applies to the midterm, and it is a 5% deduction per late day. Remember that work is required. That work may be calculations, a computer printout, an Excel program - but there has to be something that shows where numbers came from. This midterm may only be taken one time.
Question 1The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.Is “condition” an element, variable, or observation?Provide the observation for Mexico City.Give an example of a quantitative variable.Provide the range for the low temperature.What is the mode for the high temperature?Explain why the "lo" is not ordinal.
Question 2A student has completed 16 courses in the School of Arts and Sciences. Her grades in the 16 courses are shown below.DDCDABFAAACBBCCDDevelop a frequency distribution table for her grades.Create a bar chart for her grades. Remember the importance of good titles and labeled axes.All the courses are three credits except for the two that are highlighted. They are science courses and are worth 5 credits each. Using a weighted mean, calculate the student's grade point average. A = 4.0; B= 3.0; C= 2.0; D =1.0; F = 0
Question 3The number of hours worked per week for a sample of ten students is shown below.StudentHours1332403154255156307328109151035Determine the mean, median, and mode.Explain which of the three values (mean, median, mode) is the best representation of central tendency in this particular set of data. (This is not an "in general" question.)What is the standard deviation for the number of hours worked? What does standard deviation tell us?Create a histogram for this data. Discuss whether or not this data is normally distributed. Justify your answer.
Question 4You are given the following information on Events A, B, C, and D.P(A) = .5P(B) = .3P (C) = .20P(A U D) = .8P(A ∩ C) = 0.05P (A │B) = 0.22P (A ∩ D) = 0.25Compute P(D).Compute P(A ∩ B).Compute P(A | C).Compute the probability of the complement of C.What does it mean to be mutually exclusive? Give an example.
Question 5When a particular machine is functioning properly, 80% of the items produced are non-defective. If seven items are examined, what is the probability that three are defective?If seven items are examined, what is the probability at at least three are non-defective?If seven items are examined, what is the probability that at most, one is defective?What is the expected number of defective items if ten items are examined?
Question 6The average starting salary of this year’s graduates of a large university (LU) is $34,000 with a standard deviation of $7,000. Furthermore, it is known that the starting salaries are normally distributed.What is the probability that a randomly selected LU graduate will have a starting salary of at least $32,000?Individuals with starting salaries of less than $19,900 receive a low income tax break. What percentage of the graduates will receive the tax break?What percent of graduates will have their salaries one standard deviation from the mean?What is the range of salaries that is one standard deviation from the mean? What is the range of salaries that are two standard deviations from the mean?
Question 7A simple random sample of 8 computer programmers revealed the sex of the programmers and the following information about their weekly incomes.ProgrammerWeekly IncomeSexA$550MB$654MC$911FD$500ME$727MF$688FG$1000FH$892MIf all the salaries were written on separate pieces of paper, and one was drawn at random, what is the probability that the one that was drawn would be over $700?If a programmer were selected at random to complete a project, what would the probability be that the programmer was male?What is the probability of selecting an income of under $700 per week given that a male was selected?If all the salaries with the name of who earned it were written on separate pieces of paper and two were drawn at random (the first one was NOT returned to the pile), what is the probability that both were female?If all the salaries with the name of who earned it were written on separate pieces of paper and two were drawn at random (the first one was NOT returned to the pile), what is the probability that the first draw would be the salary of a male and the second would be one of a female?
Question 8Students of a large university spend an average of $7 a day on lunch. The standard deviation of the expenditure is $2. A simple random sample of 25 students is taken.What is the probability that the sample mean will be at least $4?Jason spent $15 on his lunch. Explain, in terms of standard deviation, why his expenditure is not usual.Explain what information is given on a z table. For example, if a student calculated a z value of 2.77, what is the four-digit number on the z table that corresponds with that value? What exactly is that 4-digit number telling us?Explain why we use z formulas. Why don't we just leave the data alone? Why do we convert?Grading Criteria AssignmentsMaximum PointsMeets or exceeds established assignment criteria40Demonstrates an understanding of lesson concepts20Clearly presents well-reasoned ideas and concepts30Uses proper mechanics, punctuation, sentence structure, and spelling10Total100
Higher College of Technology Business Mathematics Exam Questions
haitham - BUSINESS MATHEMATICSsee file attachedsolve in word.............................................
Higher College of Technology Business Mathematics Exam Questions
haitham - BUSINESS MATHEMATICSsee file attachedsolve in word.............................................
Memorandum of Understanding Discussion
PART1: Assessing NormalityIn this module, you explore the normal distribution. A standard normal distribution has a mean o ...
Memorandum of Understanding Discussion
PART1: Assessing NormalityIn this module, you explore the normal distribution. A standard normal distribution has a mean of zero and a standard deviation of one. The z-score statistic converts a non-standard normal distribution into a standard normal distribution allowing us to use Table A-2 in your textbook (or whatever technology you want!) and report associated probabilities.This discussion combines means, sample standard deviation, z-score, and probability. You are encouraged to complete the textbook reading, review the narrated Ppts., and start the MyStatLab Homework before starting this discussion.ScenarioThe following table reports simulated annual flying squadron costs (in millions of dollars) at the following locations:Module 4 Airshow Template.xlsxCompleteUse Microsoft Excel and StatDisk to complete the Flying Squadron Costs table for the aircraft type listed below:If your last name begins with the letter A through L, compute the mean costs (x-bar) and sample standard deviation (s) using the B-52 data; use the Kadena mean cost (x) in your z-score and probability calculations.If your last name begins with the letter M through Z, compute the mean costs (x-bar) and sample standard deviation (s) using the F-35 data; use the Charleston mean cost (x) in your z-score and probability calculations.Report your values to two decimal places (i.e., 0.12) except for probability (four decimal places). Report probability, i.e., area, (to the right of your z-score) values to four decimal places (i.e. p = 0.1234).Your StatDisk results should look very similar to this image:Save your work as separate files to your computer and then read the Canvas instructions on How do I embed an image in a discussion reply as a student? (Links to an external site.)Links to an external site.Post & DiscussEmbed the images of your spreadsheet and StatDisk results in the discussion area along with a narrative (interpretation and understanding) of your findings and the responses to the questions below.Do these costs appear to come from a population that has a normal distribution? Why or why not?Can the mean of your data sample be treated as a value from a population having a normal distribution? Why or why not?Did an “unusually low” or “unusually high” z-score value occur? See Ppts.Was the associated z-score probability value less than 0.05 (p < 0.05); meaning a “significantly low” or “significantly high” event? If yes, what are the implications for the base and/or aircraft?What were your findings? Hint: focus on the calculated mean, standard deviation, and z-score (include probability) to interpret your results.You should make your initial post before the fourth day of the module week (Friday) to receive full credit. Return at least twice later in the module week to provide meaningful (substantive) comments to two or more of your classmates' posts. DO NOT “post and run” – making all three posts in the same visit. You need multiple visits to the discussion area to gain multiple perspectives by reading all of the posts and replies.Review the Discussion Rubric for detailed grading information.PART2Flying Squadron Costs ReportAssignmentReport the CostsNow that you have calculated simulated annual flying squadron costs, you are required to report your findings. Remember the focus for this module is the normal distribution; specifically mean, standard deviation, z-score, and probability; what these descriptive and inferential statistics physically mean and how they are used in a simulated “real-world” problem.You are encouraged to calculate all row and column values for mean, standard deviation, z-score, and probability so that the entire “data picture” is available. (Hint: Are there any unusual events? Either by aircraft or base?)Report the costs in a Memorandum of Understanding (MOU). Your MOU should be a maximum of one page with one-inch margins using 11 point font and consist of only the following three paragraphs:Introduction - Prepare the audience for what they are about to read.Results - The facts.Conclusion(s) - Results are fact-based, concise and to the point; actionable.Review the Writing Suggestions page for tips. Use this format for your document.MEMORANDUM OF UNDERSTANDINGTO: 97th AMW - USAFFROM: Your NameDATE: Add Assignment Due DateSUBJECT: Determined by StudentSubmitSave your assignment using a naming convention that includes your first and last name and the activity number or description (i.e., STAT_211_Last_Name_First_Name_Module_4). Do not add punctuation or special characters.This assignment will automatically be checked through Turnitin, a service that checks your work for improper citation or potential plagiarism by comparing it against a database of web pages, student papers, and articles from academic books and publications.Review the Assignment Rubric for detailed grading information.
MAT 274 GCU Wk 5 Hypothesis Testing and Confidence Intervals Problems Homework
1. A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per decil ...
MAT 274 GCU Wk 5 Hypothesis Testing and Confidence Intervals Problems Homework
1. A patient is classified as having gestational diabetes if their average 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 μ= 140+# mg/dl and σ = #+1 mg/dl, where # is the last digit of your GCU student ID number. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? #+2 times, where # is the last digit of your student ID? #+4 times, where # 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 9# percent reliable, this means that the test will yield an accurate positive result in 9#% of the cases where the disease is actually present. Gestational diabetes affects #+1 percent of the population in our patient’s age group, and that our test has a false positive rate of #+4 percent. Use your knowledge of Bayes’ Theorem and Conditional Probabilities to compute the following quantities based on the information given only in part 2: If 100,000 people take the blood test, how many people would you expect to test positive and 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 would you expect to 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 *NOTE: USE THE ATTACHED EXCEL SHEET TO GENERATE YOUR VALUES FOR EACH PART OF THE PROJECT!This assignment uses a rubric and it should be reviewed before submission to ensure all expectations are being met.APA style is not required, but solid academic writing is expected. You are not required to submit this assignment to LopesWrite.*******Week 5 Homework*****Homework consists of 92 questions, I only need a B.
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8 pages
Answer To Statistics Assignment
Categorical data refers to the information that arranges a perception as having a place with at least one classification. ...
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Categorical data refers to the information that arranges a perception as having a place with at least one classification. It should be run in order to ...
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Week 4 Weather Conditions Element Variable or Observation Midterm
MidtermThere are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox. The Grantham La ...
Week 4 Weather Conditions Element Variable or Observation Midterm
MidtermThere are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox. The Grantham Late policy applies to the midterm, and it is a 5% deduction per late day. Remember that work is required. That work may be calculations, a computer printout, an Excel program - but there has to be something that shows where numbers came from. This midterm may only be taken one time.
Question 1The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.Is “condition” an element, variable, or observation?Provide the observation for Mexico City.Give an example of a quantitative variable.Provide the range for the low temperature.What is the mode for the high temperature?Explain why the "lo" is not ordinal.
Question 2A student has completed 16 courses in the School of Arts and Sciences. Her grades in the 16 courses are shown below.DDCDABFAAACBBCCDDevelop a frequency distribution table for her grades.Create a bar chart for her grades. Remember the importance of good titles and labeled axes.All the courses are three credits except for the two that are highlighted. They are science courses and are worth 5 credits each. Using a weighted mean, calculate the student's grade point average. A = 4.0; B= 3.0; C= 2.0; D =1.0; F = 0
Question 3The number of hours worked per week for a sample of ten students is shown below.StudentHours1332403154255156307328109151035Determine the mean, median, and mode.Explain which of the three values (mean, median, mode) is the best representation of central tendency in this particular set of data. (This is not an "in general" question.)What is the standard deviation for the number of hours worked? What does standard deviation tell us?Create a histogram for this data. Discuss whether or not this data is normally distributed. Justify your answer.
Question 4You are given the following information on Events A, B, C, and D.P(A) = .5P(B) = .3P (C) = .20P(A U D) = .8P(A ∩ C) = 0.05P (A │B) = 0.22P (A ∩ D) = 0.25Compute P(D).Compute P(A ∩ B).Compute P(A | C).Compute the probability of the complement of C.What does it mean to be mutually exclusive? Give an example.
Question 5When a particular machine is functioning properly, 80% of the items produced are non-defective. If seven items are examined, what is the probability that three are defective?If seven items are examined, what is the probability at at least three are non-defective?If seven items are examined, what is the probability that at most, one is defective?What is the expected number of defective items if ten items are examined?
Question 6The average starting salary of this year’s graduates of a large university (LU) is $34,000 with a standard deviation of $7,000. Furthermore, it is known that the starting salaries are normally distributed.What is the probability that a randomly selected LU graduate will have a starting salary of at least $32,000?Individuals with starting salaries of less than $19,900 receive a low income tax break. What percentage of the graduates will receive the tax break?What percent of graduates will have their salaries one standard deviation from the mean?What is the range of salaries that is one standard deviation from the mean? What is the range of salaries that are two standard deviations from the mean?
Question 7A simple random sample of 8 computer programmers revealed the sex of the programmers and the following information about their weekly incomes.ProgrammerWeekly IncomeSexA$550MB$654MC$911FD$500ME$727MF$688FG$1000FH$892MIf all the salaries were written on separate pieces of paper, and one was drawn at random, what is the probability that the one that was drawn would be over $700?If a programmer were selected at random to complete a project, what would the probability be that the programmer was male?What is the probability of selecting an income of under $700 per week given that a male was selected?If all the salaries with the name of who earned it were written on separate pieces of paper and two were drawn at random (the first one was NOT returned to the pile), what is the probability that both were female?If all the salaries with the name of who earned it were written on separate pieces of paper and two were drawn at random (the first one was NOT returned to the pile), what is the probability that the first draw would be the salary of a male and the second would be one of a female?
Question 8Students of a large university spend an average of $7 a day on lunch. The standard deviation of the expenditure is $2. A simple random sample of 25 students is taken.What is the probability that the sample mean will be at least $4?Jason spent $15 on his lunch. Explain, in terms of standard deviation, why his expenditure is not usual.Explain what information is given on a z table. For example, if a student calculated a z value of 2.77, what is the four-digit number on the z table that corresponds with that value? What exactly is that 4-digit number telling us?Explain why we use z formulas. Why don't we just leave the data alone? Why do we convert?Grading Criteria AssignmentsMaximum PointsMeets or exceeds established assignment criteria40Demonstrates an understanding of lesson concepts20Clearly presents well-reasoned ideas and concepts30Uses proper mechanics, punctuation, sentence structure, and spelling10Total100
Higher College of Technology Business Mathematics Exam Questions
haitham - BUSINESS MATHEMATICSsee file attachedsolve in word.............................................
Higher College of Technology Business Mathematics Exam Questions
haitham - BUSINESS MATHEMATICSsee file attachedsolve in word.............................................
Memorandum of Understanding Discussion
PART1: Assessing NormalityIn this module, you explore the normal distribution. A standard normal distribution has a mean o ...
Memorandum of Understanding Discussion
PART1: Assessing NormalityIn this module, you explore the normal distribution. A standard normal distribution has a mean of zero and a standard deviation of one. The z-score statistic converts a non-standard normal distribution into a standard normal distribution allowing us to use Table A-2 in your textbook (or whatever technology you want!) and report associated probabilities.This discussion combines means, sample standard deviation, z-score, and probability. You are encouraged to complete the textbook reading, review the narrated Ppts., and start the MyStatLab Homework before starting this discussion.ScenarioThe following table reports simulated annual flying squadron costs (in millions of dollars) at the following locations:Module 4 Airshow Template.xlsxCompleteUse Microsoft Excel and StatDisk to complete the Flying Squadron Costs table for the aircraft type listed below:If your last name begins with the letter A through L, compute the mean costs (x-bar) and sample standard deviation (s) using the B-52 data; use the Kadena mean cost (x) in your z-score and probability calculations.If your last name begins with the letter M through Z, compute the mean costs (x-bar) and sample standard deviation (s) using the F-35 data; use the Charleston mean cost (x) in your z-score and probability calculations.Report your values to two decimal places (i.e., 0.12) except for probability (four decimal places). Report probability, i.e., area, (to the right of your z-score) values to four decimal places (i.e. p = 0.1234).Your StatDisk results should look very similar to this image:Save your work as separate files to your computer and then read the Canvas instructions on How do I embed an image in a discussion reply as a student? (Links to an external site.)Links to an external site.Post & DiscussEmbed the images of your spreadsheet and StatDisk results in the discussion area along with a narrative (interpretation and understanding) of your findings and the responses to the questions below.Do these costs appear to come from a population that has a normal distribution? Why or why not?Can the mean of your data sample be treated as a value from a population having a normal distribution? Why or why not?Did an “unusually low” or “unusually high” z-score value occur? See Ppts.Was the associated z-score probability value less than 0.05 (p < 0.05); meaning a “significantly low” or “significantly high” event? If yes, what are the implications for the base and/or aircraft?What were your findings? Hint: focus on the calculated mean, standard deviation, and z-score (include probability) to interpret your results.You should make your initial post before the fourth day of the module week (Friday) to receive full credit. Return at least twice later in the module week to provide meaningful (substantive) comments to two or more of your classmates' posts. DO NOT “post and run” – making all three posts in the same visit. You need multiple visits to the discussion area to gain multiple perspectives by reading all of the posts and replies.Review the Discussion Rubric for detailed grading information.PART2Flying Squadron Costs ReportAssignmentReport the CostsNow that you have calculated simulated annual flying squadron costs, you are required to report your findings. Remember the focus for this module is the normal distribution; specifically mean, standard deviation, z-score, and probability; what these descriptive and inferential statistics physically mean and how they are used in a simulated “real-world” problem.You are encouraged to calculate all row and column values for mean, standard deviation, z-score, and probability so that the entire “data picture” is available. (Hint: Are there any unusual events? Either by aircraft or base?)Report the costs in a Memorandum of Understanding (MOU). Your MOU should be a maximum of one page with one-inch margins using 11 point font and consist of only the following three paragraphs:Introduction - Prepare the audience for what they are about to read.Results - The facts.Conclusion(s) - Results are fact-based, concise and to the point; actionable.Review the Writing Suggestions page for tips. Use this format for your document.MEMORANDUM OF UNDERSTANDINGTO: 97th AMW - USAFFROM: Your NameDATE: Add Assignment Due DateSUBJECT: Determined by StudentSubmitSave your assignment using a naming convention that includes your first and last name and the activity number or description (i.e., STAT_211_Last_Name_First_Name_Module_4). Do not add punctuation or special characters.This assignment will automatically be checked through Turnitin, a service that checks your work for improper citation or potential plagiarism by comparing it against a database of web pages, student papers, and articles from academic books and publications.Review the Assignment Rubric for detailed grading information.
MAT 274 GCU Wk 5 Hypothesis Testing and Confidence Intervals Problems Homework
1. A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per decil ...
MAT 274 GCU Wk 5 Hypothesis Testing and Confidence Intervals Problems Homework
1. A patient is classified as having gestational diabetes if their average 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 μ= 140+# mg/dl and σ = #+1 mg/dl, where # is the last digit of your GCU student ID number. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? #+2 times, where # is the last digit of your student ID? #+4 times, where # 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 9# percent reliable, this means that the test will yield an accurate positive result in 9#% of the cases where the disease is actually present. Gestational diabetes affects #+1 percent of the population in our patient’s age group, and that our test has a false positive rate of #+4 percent. Use your knowledge of Bayes’ Theorem and Conditional Probabilities to compute the following quantities based on the information given only in part 2: If 100,000 people take the blood test, how many people would you expect to test positive and 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 would you expect to 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 *NOTE: USE THE ATTACHED EXCEL SHEET TO GENERATE YOUR VALUES FOR EACH PART OF THE PROJECT!This assignment uses a rubric and it should be reviewed before submission to ensure all expectations are being met.APA style is not required, but solid academic writing is expected. You are not required to submit this assignment to LopesWrite.*******Week 5 Homework*****Homework consists of 92 questions, I only need a B.
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