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Statistics for Decision Making Final Exam Assignment
Statistics for Decision Making Final Exam Assignment
Order ID 53003233773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages Description/Paper Instructions
Statistics for Decision Making Final Exam Assignment
- Question:
(TCO 9) The annual Salary of an electrical engineer is given in terms of the years of experience by the table below. Find the equation of linear regression for the above data and obtain the expected salary for an engineer with 45 years of experience. Round to the nearest $100.Your Answer:97,100
88,300
56,700
92,800
(TCO 5) A company produces window frames. Based on a statistical analysis, we found that 15% of their product is defective. They have shipped 10 windows to one of their customers. The customer is worried about the probability of having defective frames. Choose the best answer of the following:
Your Answer:This is an example of a Poisson probability experiment
This is an example of a Binomial probability experiment
This is neither a Poisson nor a Binomial probability experiment
Not enough information to determine the type of experiment
6 3. Question:
(TCO 5) A test is composed of six multiple choice questions where each question has 4 choices. If the answer choices for each question are equally likely, find the probability of answering 3 OR 4 questions correctly.
Your Answer:0.131836
0.032959
0.004639
0.164795
(TCO 5) It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 1 or 2 errors per page?
Your Answer:0.073263
0.146525
0.219788
0.219788
(TCO 2) The median height of the players on a high school basketball team is 68 inches. What does this tell you about the typical height of a player on this team?
Your Answer:Half the players are taller than 68 inches while half are shorter
The average height of the players on the team is 68 inches
More players are 68 inches tall than any other height.
The height of all the players is not very consistent because 68 is such a large number
Question:
(TCO 6) Using the standard normal distribution, find the probability that z is greater than 1.78
Your Answer:0.0384
0.9625
0.9319
0.0375
(TCO 8) The mean age of school bus drivers in Denver is claimed to be 56.9 years. A hypothesis test is performed at a level of significance of 0.01 with a P-value of 0.09. Choose the best interpretation of the hypothesis test.
Your Answer:Reject the null hypothesis; there is enough evidence to reject the claim that the mean age of bus drivers in Denver is 56.9 years.
Reject the null hypothesis; there is enough evidence to support the claim that the mean age of bus drivers in Denver is 56.9 years.
Fail to reject the null hypothesis; there is not enough evidence to reject the claim that the mean age of bus drivers in Denver is 56.9 years.
Fail to reject the null hypothesis; there not is enough evidence to support the claim that the mean age of bus drivers in Denver is 56.9 years.
(TCO 8) A poll of U.S. health professionals revealed less than 82% would choose the same career. In a hypothesis test conducted at a level of significance of 1%, a P-value of 0.035 was obtained. Choose the best interpretation of the hypothesis test.
Your Answer:Fail to reject the null hypothesis; there is not enough evidence to reject the claim that less than 82% of health professionals would choose the same career.
Fail to reject the null hypothesis; there is not enough evidence to support the claim that less than 82% of health professionals would choose the same career.
Reject the null hypothesis; there is enough evidence to reject the claim that less than 82% of health professionals would choose the same career.
Reject the null hypothesis; there is enough evidence to support the claim that less than 82% of health professionals would choose the same career.
(TCO 2) You are going to take a statistics class next session. You have two professors to choose from. Both professors have a mean performance evaluation score of 3.56 out of 4. Professor A has a standard deviation of .86 while Professor B has a standard deviation of .51. You want to choose the better professor because math is a challenge for you, who do you choose?
Your Answer:Professor A because he got more consistent scores on his evaluation
Professor B because he got more consistent scores on his evaluation
Either professor because their average scores were the same
Neither professor because the given information is not enough to make a decision
10. Question:
(TCO 4) A travel agency offers 4 different vacation packages to Europe. Their net profit for package 1 is $500, for package 2 it is $750, for package 3 it is $900, and for package 4 it is $1,500. From past experience they know that 20% of their customers purchase package 1, 15% of their customers purchase package 2, 40% of their customers purchase package 3 and 25% of their customers purchase package 4. Find the expected value or average profit per customer and determine how much profit they should expect if 10 people purchase one of their European vacation packages.Your Answer:
Expected profit from 10 customers = $3,650
Expected profit from 10 customers = $9,475
Expected profit from 10 customers = $9,125
Expected profit from 10 customers = $6,250
(TCO 3) The ages of 25 employees in a company are listed below: Use the stem & leaf plot to determine the shape of the distribution. Choose the best answer.Your Answer:
The data is symmetric
The data is skewed to the right
The data is skewed to the left
The data is bimodal
(TCO 1) A statistician is considering using a 99% confidence interval for a study instead of a 95% confidence interval. What happens to the required sample size if the confidence level is increased from 95% to 99% and the same error is required in each case?
Your Answer:The sample size remains unchanged
The sample size needs to increase
The sample size needs to decrease
Not enough information is provided to draw a conclusion regarding the sample size in this case.
(TCO 6) Scores on an assessment exam at a private school are normally distributed, with a mean of 75 and a standard deviation of 11. Any student who scores in the top 7% is eligible for a scholarship. What is the lowest whole number score you can earn and still be eligible for a scholarship?
Your Answer:85
92
90
93
(TCO 5) A shipment of 40 computers contains five that are defective. How many ways can a small business buy three of these computers and receive no defective ones?
Your Answer:6545
658008
9880
105
(TCO 6) The time required to make 1100 gallons of synthetic rubber at a plant in South America in a recent year was normally distributed with a mean of 16 hours and a standard deviation of 3 hours. What is the probability that it will take more than 19 hours to make 1100 gallons of synthetic rubber?
Your Answer:0.2119
1.00
0.8413
0.1587
(TCO 10) The annual rice yield (in pounds), is given by the equation y-hat = 859 + 5.76a + 3.82b, where ‘a’ is the number of acres planted (in thousands), and ‘b’ is the number of acres harvested (in thousands). Predict the annual rice yield (in pounds) when the number of acres planted is 2550 (in thousands) and the number of acres harvested is 2245 (in thousands).
Your Answer:868.58
24122.9
23531.2
4495
(TCO 9) Describe the correlation in this graph.Your Answer:
moderate positive
strong negative
moderate negative
strong positive
1. Question:
(TCO 8) For the following statement, write the null hypothesis and the alternative hypothesis. Then, label the one that is the claim being made.
The mean life of a car’s engine is no more than 10 years.(TCO 11) A 15-minute Oil and Lube service claims that their average service time is no more than 15 minutes. A random sample of 35 service times was collected, and the sample mean was found to be 16.2 minutes, with a sample standard deviation of 3.5 minutes. Is there evidence to support, or to reject the claim at the alpha = 0.05 level? Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
Writing the formal conclusion is an important part of the process.
3. Question:(TCO 5) The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
(a) Is this a binomial experiment? Explain how you know.
(b) Use the correct formula to find the probability that, out of 50 houses, exactly 4 of the houses will be burglarized. Show your calculations or explain how you found the probability.(TCO 6) The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
(a) Find the probability that the family’s monthly gasoline purchases will be between 86 and 96 gallons.
(b) Find the probability that the family’s monthly gasoline purchases will be less than 87 gallons.
(c) Find the probability that the family’s monthly gasoline purchases will be more than 75 gallons.(TCO 8) An engineering firm is evaluating their back charges. They originally believed their average back charge was $1800. They are concerned that the true average is higher, which could hurt their quarterly earnings. They randomly select 40 customers, and calculate the corresponding sample mean back charge to be $1950. If the standard deviation of back charges is $500, and alpha = 0.04, should the engineering firm be concerned? Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
(TCO 7) A marketing firm wants to estimate the average amount spent by patients at the hospital pharmacy. For a sample of 200 randomly selected patients, the mean amount spent was $92.75 and the standard deviation $13.10.
(a) Find a 95% confidence interval for the mean amount spent by patients at the pharmacy. Show your calculations and/or explain the process used to obtain the interval.
(b) Interpret this confidence interval and write a sentence that explains it.(TCO 7) A drug manufacturer wants to estimate the mean heart rate for patients with a certain heart condition. Because the condition is rare, the manufacturer can only find 15 people with the condition currently untreated. From this small sample, the mean heart rate is 92 beats per minute with a standard deviation of 8.
(a) Find a 98% confidence interval for the true mean heart rate of all people with this untreated condition. Show your calculations and/or explain the process used to obtain the interval.
(b) Interpret this confidence interval and write a sentence that explains it.(TCO 2) The heights of 10 sixth graders are listed in inches: {50, 62, 54, 57, 60, 57, 53, 57, 59, 58}.
(a) Find the mean, median, mode, sample variance, and range.
(b) Do you think that this sample might have come from a normal population? Why or why not?Statistics for Decision Making Final Exam Assignment
RUBRIC
QUALITY OF RESPONSE NO RESPONSE POOR / UNSATISFACTORY SATISFACTORY GOOD EXCELLENT Content (worth a maximum of 50% of the total points) Zero points: Student failed to submit the final paper. 20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking. 40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6th Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. Grammar (worth maximum of 20% of total points) Zero points: Student failed to submit the final paper. 5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors 10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. Structure of the Paper (worth 10% of total points) Zero points: Student failed to submit the final paper. 3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6th edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6th edition requirements whatsoever. 5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6th edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper 7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper.
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