MATH 533 Week 3 Homework (New)
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1. The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.3 miles per gallon.
2. The ages of a group of 50 women are approximately normally distributed with a mean of 49 years and a standard deviation of 5 years. One woman is randomly selected from the group, and her age is observed.
3. Resource Reservation Protocol (RSVP) was originally designed to establish signaling links for stationary networks. RSVP was applied to mobile wireless technology. A simulation study revealed that the transmission delay (measured in milliseconds) of an RSVP linked wireless device has an approximate normal distribution with mean µ = 49.5 milliseconds and milliseconds. Complete parts a and b.
4. Almost all companies utilize some type of yearend performance review for their employees. Human Resources (HR) at a university’s Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine for tendency to be either too lenient or too harsh. According to HR, “if you have this tendency, consider using a normal distribution—10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable. “Suppose you are rating an employee’s performance on a scale of 1 (lowest) to 100 (highest). Also, assume the ratings follow a normal distribution with a mean of 49 and a standard deviation of 15. Complete parts a and b.
5. Personnel tests are designed to test a job applicant’s cognitive and/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 78 and standard deviation 6.6.
6. Before negotiating a longterm construction contract, building contractors must carefully estimate the total cost of completing the project. At a certain university, a contractor proposed a model for total cost of a longterm contract based on the normal distribution. For one particular construction contract, the university assumed total cost, x, to be normally distributed with mean $860,000 and standard deviation $180,000. The revenue, R, promised to the contractor is $1,000,000.
7. The characteristics of an industrial filling process in which an expensive liquid is injected into a container was investigated. The quantity injected per container is approximately normally distributed with mean 10 units and standard deviation 0.02 units. Each unit of fill costs $10 per unit. If a container contains less than 10 units (that is, is underfilled), it must be reprocessed at a cost of $14. A property filled container sells for $125. Complete parts a through c.
8. A random sample of n = 100 observations is drawn from a population with mean equal to 46 and a standard deviation to 40.
9. A random sample of n = 64 observations is drawn from a population with a mean equal to 21 and a standard deviation equal to 16.
10. The average salary for a certain profession is $74,500. Assume that the standard deviation of such salaries is $32,500. Consider a random sample of 52 people in this profession and let x represent the mean salary for the sample.
11. Some students paid a private tutor to help them their results on a certain mathematical test. These students had a mean change in score of +17 points, with a standard deviation of 69 points. In a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that change in the sample mean score is less than 10 points?
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MATH 533 Week 7 Course Project Part C: Regression and Correlation Analysis (SALESCALL Project) (New)
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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.
Generate a scatterplot for the specified dependent variable and the..

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Your Instructor will provide you with four manager speculations, a.d., in the Doc Sharing file.
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 ..

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1. 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 firstorder model y = &n..

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1. 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) = + + , where y = number of crashes ..

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Read the Case: Statistics in Action: BidRigging in the Highway Construction Industry, in Chapter 11 of your textbook, and answer the following questions. The data set, FLAG, for the case study is available in the publisher’s website, so you don’t need to enter the data into Minitab by hand.
..

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1. An association was formed by students to protest labor exploitation in the apparel industry. There were 18 student “sitins” for a “sweetfree campus” organized at several universities. Data were collected for the duration (in days) of each sitin, as well as the ..

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1. 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.
2. The average driving distance (yards) and driving accuracy (percen..

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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!
Summa..

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1. A group of professors investigated firstyear 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..

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1. A study of n = 90,000 firsttime 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 c..

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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 followon selections in the textbook ..

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1. 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.
2. Each child in a ..

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1. 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 skinprick test reported on their e..

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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 followon selections in the textb..

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1. The average salary for a certain profession is $97,000. Assume that the standard deviation of such salaries is $33,500. Consider a random sample of 54 people in this profession and let x represent the mean salary for the sample.
2. ..

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Why is it important to study ethics in statistics? Have you seen statistics misused? Without naming specific companies or people, can you provide examples?
Please find (on the Internet or from the Keller library) and post an article regarding ethics and statistics. Please attach the art..

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1. A country’s government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the SpaceBased Infrared System (SBIRS), which uses satellite imagery to detect and track missiles. The probability that an intrud..

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1. The table to the right gives a breakdown of 2,149 civil cases that were appealed. The outcome of the appeal, as well as the type of trial (judge or jury), was determined for each case. Suppose one of the cases is selected at random and the outcome of the appeal an..

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A number of years ago, there was a popular television game show called Let's Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and then would be off..

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1. Graph the relative frequency histogram for the 300 measurements summarized in the relative frequency table to the right.
2. Would you expect the data sets that follow to possess relative frequency distributions that are symmetric,..

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1. Complete the table to the right.
2. In one university, language incorporated a 10week extensive reading program to improve students’ Japanese reading comprehension. The professors collected 267 books originally written for Japane..

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1. (TCO D) PuttingPeople2Work has a growing business placing outofwork MBAs. They claim they can place a client in a job in their field in less than 36 weeks. You are given the following data from a sample.
Sample size: 100
Population standard deviation: 5
Sample mean: 34.2
Form..

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1. (TCO A) Seventeen salespeople reported the following number of sales calls completed last month.
72 93 82 81 &n..

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MATH 533 Week 1 Homework
MATH 533 Week 1 Quiz
MATH 533 Week 2 DQ 1 Case Let's Make a Deal
MATH 533 Week 2 Homework (2 Sets)
MATH 533 Week 2 Quiz
MATH 533 Week 3 DQ 1 Ethics in Statistics Readings and Discussion
MATH 533 Week 3 Homework
MATH 533 Week 3 Quiz (2 Sets)
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