MATH 533 Entire Course Flashcards
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DEVRY MATH 533 Week 7 Quiz NEW
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MATH 533 Week 7 Quiz NEW
Data on the average annual precipitation (y), altitude (x1), latitude (x2), and distance from the coast (x3) for a particular state were collected for 10 meteorological stations. The observations are listed in the table below. Consider the first-order model y = β_0 + β_1 x_1 + β_2 x_2,β_3 x_3 + ε. Complete parts a through c.
Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of roadway, they fit the model E(y) = β_0 + β_1 x_2 + β_2 x_2, where y = number of crashes per three years, x1 = roadway length (miles), and x2 = average annual daily traffic (number of vehicles) = AADT.
The data shown below represent the annual earnings (y), age (x1), and hours worked per day (x2) for a random sample of street vendors in a certain city. Complete parts a through f.
A manufacturer of boiler drums wants to use regression to predict the number of hours needed to erect the drums in future projects. To accomplish this task, data on 15 boilers were collected. In addition to hours (y), the variables measured were boiler capacity (x1 = 1b/hr), boiler design pressure (x2 = pounds per square inch, or psi), boiler type (x3 = 1 if industry field erected, 0 if utility filed erected), drum type (x4 = 1 if steam, 0 if mud). Complete parts a through d.
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DEVRY MATH 533 Week 7 Homework NEW
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MATH 533 Week 7 Homework NEW
Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of roadway, they fit the model E(y) = β_0 + β_1 x_2 + β_2 x_2, where y = number of crashes per three years, x_1 = roadway length (miles), and x_2 = average annual daily traffic (number of vehicles) = AADT.
The data shown below represent the annual earnings (y), age (x_1)¬¬, and hours worked per day (x2) for a random sample of street vendors in a certain. Complete parts a through f.
Data on the average annual precipitation (y), altitude (x1), latitude (x2), and distance from the coast (x3) for a particular state were collected for 10 meteorological stations. The observations are listed in the table below. Consider the first-order model y = β_0 + β_1 x_1 + β_2 x_2,β_3 x_3 + ε. Complete parts a through c.
A manufacturer of boiler drums wants to use regression to predict the number of hours needed to erect the drums in future projects. To accomplish this task, data on 15 boilers were collected. In addition to hours (y), the variables measured were boiler capacity (x1 = 1b/hr), boiler design pressure (x2 = pounds per square inch, or psi), boiler type (x3 = 1 if industry field erected, 0 if utility filed erected), drum type (x4 = 1 if steam, 0 if mud). Complete parts a through d.
A magazine reported on a study of the reliability of a commercial kit to test for arsenic in groundwater. The field kit was used to test a sample of 20 ground water wells in a country. In addition to the arsenic level (micrograms per liter), the latitude (degrees), and depth (feet) of each well was measured. Complete parts a through g.
A researcher wants to find a model that relates square footage x1, number of bedrooms x2, number of baths x3, and asking price y (in thousands of dollars) of a house. Complete parts (a) through (h).
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DEVRY MATH 533 Entire Course NEW
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MATH 533 Entire Course NEW
MATH 533 Week 1 Homework NEW
MATH 533 Week 1 Quiz NEW
MATH 533 Week 2 DQ 1 Case Let’s Make a Deal NEW
MATH 533 Week 2 Homework (2 Sets)
MATH 533 Week 2 Quiz NEW
MATH 533 Week 3 DQ 1 Ethics in Statistics Readings and Discussion NEW
MATH 533 Week 3 Homework NEW
MATH 533 Week 3 Quiz (2 Sets) NEW
MATH 533 Week 4 DQ 1 Case Statistics in Action: Medicare Fraud Investigations NEW
MATH 533 Week 4 Homework NEW
MATH 533 Week 4 Quiz (2 Sets) NEW
MATH 533 Week 5 DQ 1 Case Statistics in Action: Diary of a Kleenex User NEW
MATH 533 Week 5 Homework NEW
MATH 533 Week 5 Quiz NEW
MATH 533 Week 6 DQ 1 Case: Statistics in Action: Legal Advertising—Does It Pay? NEW
MATH 533 Week 6 Homework NEW
MATH 533 Week 6 Quiz NEW
MATH 533 Week 7 DQ 1 Case: Statistics in Action: Bid-Rigging in the Highway Construction Industry NEW
MATH 533 Week 7 Homework NEW
MATH 533 Week 7 Quiz NEW
MATH 533 Week 2 Course Project Part A Exploratory Data Analysis (SALES CALL project) NEW
MATH 533 Week 6 Course Project Part B Hypothesis Testing and Confidence Intervals (SALESCALL Project) NEW
MATH 533 Week 7 Course Project Part C: Regression and Correlation Analysis (SALESCALL Project) NEW
MATH 533 Final Exam Set 1 NEW
MATH 533 Final Exam Set 2 NEW
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DEVRY MATH 533 Week 7 Course Project Part C: Regression and Correlation Analysis (SALESCALL Project) NEW
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MATH 533 Week 7 Course Project Part C: Regression and Correlation Analysis (SALESCALL Project) NEW
Your Instructor will specify for you the dependent variable and the independent variables in your Case and data. Using MINITAB perform the regression and correlation analysis for the data by answering the following.
1. Generate a scatterplot for the specified dependent variable and the specified independent variable, including the graph of the “best fit” line. Interpret.
2. Determine the equation of the “best fit” line, which describes the relationship between the dependent variable and the selected independent variable.
3. Determine the coefficient of correlation. Interpret.
4. Determine the coefficient of determination. Interpret.
5. Test the utility of this regression model (use a two tail test with the α provided by your Instructor). Interpret your results, including the p-value.
6. Based on your findings in 1-5, what is your opinion about using the designated independent variable to predict the designated dependent variable? Explain.
7. Compute the confidence interval for beta-1 (the population slope), using the confidence level specified by your Instructor. Interpret this interval.
8. Using an interval, estimate the average for the dependent variable for a selected value of the independent variable (to be provided by your Instructor). Interpret this interval.
9. Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable (to be provided by your Instructor). Interpret this interval.
10. What can we say about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain your answer.
In an attempt to improve the model, we will attempt to do a multiple regression model predicting the dependent variable based on all of the independent variables.
11. Using MINITAB run the multiple regression analysis using the designated dependent and independent variables. State the equation for this multiple regression model.
12. Perform the Global Test for Utility (F-Test). Explain your conclusion.
13. Perform the t-test on each independent variable. Explain your conclusions and clearly state how you should proceed. In particular, which independent variables should we keep and which should be discarded. If any independent variables are to be discarded, re-run the multiple regression, including only the significant independent variables, and include the final Minitab output, with interpretation.
14. Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.
15. All DeVry University policies are in effect, including the plagiarism policy.
16. Project Part C report is due by the end of Week 7.
17. Project Part C is worth 100 total points. See grading rubric below.
Summarize your results from 1-14 in a report that is three pages or less in length and explains and interprets the results in ways that are understandable to someone who does not know statistics.
Submission: The summary report + all of the work done in 1-14 (Minitab Output + interpretations) as an appendix.
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DEVRY MATH 533 Week 6 Quiz NEW
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MATH 533 Week 6 Quiz NEW
- An association was formed by students to protest labor exploitation in the apparel industry. There were 18 student “sit-ins” for a “sweet-free campus” organized at several universities. Data were collected for the duration (in days) of each sit-in, as well as the number of student arrests. The data for 5 sit-ins in which there was at least one arrest and the results of a simple linear regression are found below. Let y be the number of arrests and x be the duration. Complete parts a through d.
- A group of researchers developed a new method for ranking the total driving performance of golfers on a tour. The main average driving distance (yards) and driving accuracy (percent of drives that land in the fairway). They construct a standard accuracy (y) to driving distance (x). A MINITAB printout with prediction and confidence intervals for a driving distance.
- Many entrepreneurs have donated money to various causes. Data on the total amount pledged and remaining net worth for the 10 top donors are given in the table. Complete parts a through d.
- The quality of the orange juice produced by a manufacturer is constantly monitored. There are numerous sensory and chemical components that combine to make the best-tasting orange juice. For example, one manufacturer has developed a quantitative index of the “sweetness” of orange juice. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin(x). Find a 90% confidence interval for the true slope of the line. Interpret the result.
- A study of the effect of massage on boxing performance measured a boxer’s lactate concentration (in mM) and perceived recovery (on a 28-point scale). On the basis of the information provided by the study, the data shown in the accompanying table were obtained for 16 five-round boxing performances in which a massage was given to the boxer between rounds. Conduct a test to determine whether blood lactate level(y) is linearly related to the perceived recovery (x). Use α = 0.10.
- A MINITAB printout relating the size of the diamond (number of carats) to the asking price (dollars) is shown below. Complete parts a through e.
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DEVRY MATH 533 Week 6 DQ 1 Case: Statistics in Action: Legal Advertising—Does It Pay? NEW
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MATH 533 Week 6 DQ 1 Case: Statistics in Action: Legal Advertising—Does It Pay? NEW
Read the Case: Statistics In Action: Legal Advertising—Does It Pay?, and answer the following questions. (The case is included in your textbook, Chapter 10.) The data set for the case study is LEGALADV, and it is available in your textbook resources, so you don’t have to enter the data!
Summarize what the case is about, and what the variables represent.
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DEVRY MATH 533 Week 6 Homework NEW
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MATH 533 Week 6 Homework NEW
A MINITAB printout relating the size of the diamond (number of carats) to the asking price (dollars) for 308 diamonds is shown below. Complete parts a through e.
The average driving distance (yards) and driving accuracy (percent of drives that land in the fairway) for 8 golfers are recorded in the table to the right. Complete parts a through e below.
Many entrepreneurs have donated money to various causes. Data on the total amount pledged and remaining net worth for the 10 top donors are given in the table. Complete parts a through d.
A magazine reported the average charge and the averege length of hospital stay for patients in a sample of 7 regions. The printout is shown below. Complete parts a through e.
Adult male rhesus monkeys were exposed to a visual stimulus ( panel of light-emitting diodes), and their eye, head, and body movements were electronically recorded. In on variation of the experiment, two variables were measured, active head movement (x, percent per degree) and body-plus-rotation (y,percent per degree). The data for n = 37 trails were subjected to a simple linear regression analysis, with 〖^β〗(1=0.92,〖s ^β〗(1 ) )= 0.23. Complete parts a through c.
If you pay more in tuition to go to a top business school, will it necessarily result in a higher probability of a job offer at graduation? Let y = percentage of graduates with job offers and x = tuition cost; then fit the simple linear model, E(y) = β_0 + β_1x, to the data below. Is there sufficient evidence (at α = 0.10) of a positive linear relationship between y and x?
Banks in a state have been charged with withdrawing from urban areas with a high percentage of minorities. To examine this charge, a study compiled county by county data on the number (y) of people in each county per branch bank in the county and the percentage (x) of the population in each county that is minority. Complete parts a through c.
The rank of the top 10 billionaires, their net worth (y), and their ages (x) are given in the table to the right. Complete parts a through d below.
A group of researchers developed a new method for ranking the total driving performance of golfers on a tour. The method requires knowing a golfer’s averaging driving distance (yards) and driving accuracy (percent of drives that land in the fairway). They construct a straight-line model relating driving accuracy(y) to driving distance(x). A MINITAB printout with prediction and confidence intervals for a driving distance of x = 300 is shown below.
The accompanying data in the table below were derived from life tests for two different brands of cutting tools. Complete parts a through c.
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DEVRY MATH 533 Week 6 Course Project Part B Hypothesis Testing and Confidence Intervals (SALESCALL Project) NEW
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MATH 533 Week 6 Course Project Part B Hypothesis Testing and Confidence Intervals (SALESCALL Project) NEW
Your Instructor will provide you with four manager speculations, a.-d., in the Doc Sharing file.
1. Using the sample data, perform the hypothesis test for each of the above situations in order to see if there is evidence to support your manager’s belief in each case a.-d. In each case use the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book, using the α provided by your Instructor in the Doc Sharing materials, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.
2. Follow this up with computing confidence intervals (the required confidence level will be provided by your Instructor) for each of the variables described in a.-d., and again interpreting these intervals.
3. Write a report to your manager about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear explanations and interpretations are critical.
4. All DeVry University policies are in effect, including the plagiarism policy.
5. Project Part B report is due by the end of Week 6.
6. Project Part B is worth 100 total points. See grading rubric below.
Submission: The report from part 3 + all of the relevant work done in the hypothesis testing (including Minitab) in 1., and the confidence intervals (Minitab) in 2. as an appendix.
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DEVRY MATH 533 Week 5 Quiz NEW
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MATH 533 Week 5 Quiz NEW
- A group of professors investigated first-year college students’ knowledge of astronomy. One concept of interest was the Big Bang Theory of the creation of the universe. In a sample 0f 141 freshman students, 35 believed that the Big Bang Theory accurately described the creation of plantery systems. Baesd on this information, is it correct at the α = 0.01 level of significance to state that more than 20% of all freshman college students believe the Big Bang theory describes the creation of planetary systems?
- A study was conducted to evaluate the effectiveness of a new mosquito repellent designed by the U.S. Army to be applied as camouflage face paint. The repellent was applied to the forearms of 5 volunteers who then were exposed to 15 active mosquitos for a 10-hour period. The percentage of the forearm surface area protected from bites (called percent repellency) was calculated for each of the five volunteers. For one color of paint (loam), the following summary statistics were obtained: x =83%, s = 14%. Complete parts a and b.
- A study of n = 110,000 first-time candidates for an exam found that the number of semester hours of college credit taken by the sampled candidate is summarized by x = 146.78 and s = 20.44. A professor claims that the true mean number of semester hours of college credit taken is 146.
- Suppose 36 0f 104 randomly selected shoppers believe that “Made in the USA” means that 100% of labor and materials are from the United States. Let p represent the true proportion of consumers who believe “Made in the USA” means 100% of labor and materials are from the United States. Complete parts a through e.
- The final scores of games of a certain sport were compared against the final point spreads establiished by oddmakers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 240 games. The sample mean and sample standard deviation of the point-spread errors are x = 1.7 and s = 14.6. Use this information to test the hypothesis that the true mean point-spread error for all games is lareger than 0. Conduct the test at α = 0.05 and interpret the result.
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DEVRY MATH 533 Week 5 Homework NEW
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MATH 533 Week 5 Homework NEW
A study of n = 90,000 first-time candidates for an exam found that the number of semester hours of college credit taken by the sampled candidates is summarized by x = 145.72 and s = 18.53. A professor claims that the true mean number of semester hours of college credit taken is 145.
A study of n = 59 hospital employees found that the number of latex gloves used per week by the sampled worker is summarized by x = 21.2 and s = 13.1. Let µ represent the mean number of latex gloves used per week by all hospital employees. Consider testing H_0:µ<23.
The final scores of games of a certain sport were compared against the final point spreads established by oddsmakers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 255 games. The sample mean and sample standard deviation of the point-spread errors are x = 1.3 and s = 12.9. Use this information to test the hypothesis that the true mean point-spread error for all games is larger than 0. Conduct the test at α=0.01 and interpret the result.
For the α and observed significance level (p-value) pair, indicate whether the null hypothesis would be rejected. α=0.01, p-value = 0.05
Consider a test of H_(0: ) μ=75 performed with the computer. The software reports a two-tailed p-value of 0.1032. Make the appropriate conclusion for each of the following situations.
When bonding teeth, orthodonists must maintain a dry filed. A new bonding adhesive has been developed to eliminate the neccessity of a try field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 12 extracted teeth bonded with the new adhesive resulted in a mean breaking srength (after 24 hours) of x = 5.83 Mpa and a standard deviation of s = 0.49 Mpa. Orthodontists want to know if the true mean breaking strength is less than 6.46 Mpa, the mean braking strength of the composite adhesive.
Whether planning for a new forest road to be used for tree harvesting, Planners must select the location to minimize tractor skidding distance. The skidding distances (in meters) were measured at 20 randomly selected road sites. The data are given below. A logger working on the road claims the mean skidding distance is atleast 418 meters. Is there sufficient evidence to refute this claim? Use α = 0.10.
Suppose 47 0f 110 randomly selected shoppers believe that “Made in the USA” means that 100% of labor and materials are from the United States. Let p represent the true proportion of consumers who believe “Made in the USA” means 100% of labor and materials are from the United States. Complete parts a through e.
The National Institute for Standards and Technology (NIST) mandates that for every 100 items scanned through the electronic checkout scanner at a retail store, no more than two should have an inaccurate price. A study of random items purchased at different California stores found that 3.3% had the wrong price. Assume that the study inclluded 841 randomly selected items. Complete parts a through e.
Suppose a consumer group rated 44 brands of toothpaste based on whether or not the brand an American Dental Association (ADA) seal verifying effective decay prevention. The results of a hypothesis test for the proportion of brands with the seal to the right. Complete parts a through c
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DEVRY MATH 533 Week 5 DQ 1 Case Statistics in Action: Diary of a Kleenex User NEW
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MATH 533 Week 5 DQ 1 Case Statistics in Action: Diary of a Kleenex User NEW
Read the selection in your text book pertaining to the Case: Statistics in Action: Diary of a Kleenex® User; load the data set for the case, TISSUES, into Minitab; answer the question about the case in the Discussion area; and likewise read and respond to the follow-on selections in the textbook for the case in the Statistics in Action Revisited.
How would you briefly summarize the case, and the data that was generated?
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DEVRY MATH 533 Week 4 Quiz NEW
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MATH 533 Week 4 Quiz NEW
- A random samples of 1020 satellite radio subscribers were asked, “Do you have a satellite radio receiver in your car?” The survey found that 102 subscribers did, in fact, have a satellite receiver in their car.
- Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.62 and a standard deviation of 8.91. Complete parts a through d.
- In a sample of 60 stores of a certain company, 50 violated a scanner accuracy standard. It has been demonstrated that the conditions for a valid large-sample confidence interval for the true proportion of the stores that violate the standard were not met. Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.05 with 95% confidence using the large-sample method.
- A company wants to test a randomly selected sample of n water specimens and estimate the mean daily rate of pollution produced by a mining operation. If the company wants a 90% confidence interval estimate with a sampling error of 1.8 milligrams per liter (mg/L), how many water specimens are required in the sample? Assume prior knowledge indicates that pollution readings in water samples taken during a day are approximately normally distributed with a standard deviation equal to 8 mg/L.
- The white wood material used for the roof of an ancient temple is imported from a certain country. The wooden roof must withstand as much as 100 centimeters of snow in the winter. Architects at a university conducted a study to estimate the mean bending strength of the white roof. A sample of 25 pieces of the imported wood were tested and yielded the statistics x = 74.5 and s = 10.3 on breaking strength (MPa). Estimate the true mean breaking strength of the white wood with a 99% confidence interval. Interpret the result.
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DEVRY MATH 533 Week 4 Homework NEW
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MATH 533 Week 4 Homework NEW
- Health Care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 43 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x = 19.4 and s = 12.3. Complete parts (a) – (d).
- The white wood material used for the roof of an ancient temple is imported from a certain country. The wooden roof must withstand as much as 100 centimeters of snow in the winter. Architects at a university conducted a study to estimate the mean bending strength of the white wood roof. A sample of 25 pieces of the imported wood were tested and yielded the statistics x = 74.9 and s = 10.8 on breaking strength of the white wood with a 99% confidence interval. Interpret the result.
- A group of researchers wants to estimate the true mean skidding distance along a new road in a certain forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. These values are given in the accompanying table. Complete parts a through d.
- In sociology, a personal network is defined as the people with whom you make frequent contact. A research program used a stratified random sample of men and women born between 1908 and 1937 to gauge the size of the personal network of older adults. Each adult in the sample was asked to “please name the people you have frequent contact with and who are also important to you.” Based on the number of people named, the personal network size for each adult was determined. The responses of 2,824 adults in this sample yielded statistics on network size, that is, the mean number of people named person was 14.3, with a standard deviation of 10.2. Complete parts a through c.
- A newspaper reported that 50% of people say that some coffee shops are overpriced. The source of this information was a telephone survey of 40 adults.
- A random sample of 1040 satellite radio subscribers was asked, “Do you have a satellite radio receiver in your car?” The survey found that 312 subscribes did, in fact, have a satellite receiver in their car.
- In 2006, a survey of 400 adults in a region found that 45% had access to a high-speed Internet connection at home.
- A gigantic warehouse stores approximately 80 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with black spot, rendering them unusable. A statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by their fire. How many aluminum cans should be randomly sampled to estimate p to within 0.08 with 90% confidence?
- According to an article the bottled water you are drinking may contain more bacteria and other potentially carcinogenic chemicals than are allowed by state and federal regulations. O the more than 1300 bottles studied, nearly one-third exceeded government levels. Suppose that a department wants an updated estimate of the population proportion of bottled water that violates at least one government standard. Determine the sample size (number of bottles) needed to estimate this proportion to within +/- 0.02 with 99% confidence.
- A company tests all new brands of golf balls to ensure that they meet certain specifications. One test conducted is intended to measure the average distance traveled when the ball is hit by a machine. Suppose the company wishes to estimate the mean distance for a new brand within 1.2 yards with 90% confidence. Assume that past tests have indicated that the standard deviation of the distances the machine hits golf balls is approximately 10 yards. How many golf balls should be hit by the machine to achieve the desired accuracy in estimating the mean?
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DEVRY MATH 533 Week 4 DQ 1 Case Statistics in Action: Medicare Fraud Investigations NEW
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MATH 533 Week 4 DQ 1 Case Statistics in Action: Medicare Fraud Investigations NEW
Read the selection in your textbook pertaining to the Case: Statistics in Action: Medicare Fraud Investigations; load the data set for the case, MCFRAUD, into Minitab; answer the question about the case in the Discussion area; and likewise read and respond to the follow-on selections in the textbook for the case in the Statistics in Action Revisited.
What is a point estimate of the mean overpayment?
