Introduction to Hypothesis Testing Table
Identify whether each research scenario listed in the left column of the top of the matrix, would be a one- or two-tailed test and then justify your decision. For each research scenario in the bottom of the matrix, write what the null and alternative hypotheses would be.
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Research Scenario |
One-tail or two-tail test |
Justification |
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A local dermatologist claims that 30% of mole biopsies are unnecessary. Last month at his clinic, 210 out of 634 had benign biopsy results. Is there enough evidence to reject the dermatologist’s claim? |
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A local dermatologist claims that more than 30% of mole biopsies are unnecessary. Last month at his clinic, 210 out of 634 had benign biopsy results. Is there enough evidence to reject the dermatologist’s claim? |
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A local dermatologist claims that less than 30% of mole biopsies are unnecessary. Last month at his clinic, 210 out of 634 had benign biopsy results. Is there enough evidence to reject the dermatologist’s claim? |
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Research Scenario |
Null hypothesis: |
Alternative hypothesis: |
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A pharmaceutical company believes their weight loss drug is more effective than any program on the market. They study two groups of people: Group A is given the drug and Group B is given a placebo. They then compare weight loss over the course of 3 months. |
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A college professor believes class attendance is different on sunny versus cloudy days. |
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Researchers hypothesize that rats fed donuts for breakfast will perform worse on a task than those fed a high-protein breakfast. |
In: Statistics and Probability
1. Define a class called Odometer that will be used to track fuel and mileage for an automobile. The class should have instance variables to track the miles driven and the fuel efficiency of the vehicle in miles per gallon. Include a mutator method to reset the odometer to zero miles, a mutator method to set the fuel efficiency, a mutator method that accepts miles driven for a trip and adds it to the odometer’s total, and an accessor method that returns the number of gallons of gasoline that the vehicle has consumed since the odometer was last reset.
Use your class with a test program that creates several trips with different fuel efficiencies. You should decide which variables should be public, if any.
2. Write a grading program for a class with the following grading policies:
There are three quizzes, each graded on the basis of 10 points.
There is one miterm exm, graded on the basis of 100 points.
There is one finl exm, graded on the basis of 100 points.
The fnal exm counts for 40% of the grade. The miterm counts for 35% of the grade. The three quizzes together count for a total of 25% of the grade. (Do not forget to convert the quiz scores to percentages before they are averaged in.)
Any grade of 90 or more is an A, any grade of 80 or more (but less than 90) is a B, any grade of 70 or more (but less than 80) is a C, any grade of 60 or more (but less than 70) is a D, and any grade below 60 is an F. The program should read in the student’s scores and output the student’s record, which consists of three quiz scores and two exm scores, as well as the student’s overall numeric score for the entire course and final letter grade.
Define and use a class for the student record. The class should have instance variables for the quizzes, midterm, final, overall numeric score for the course, and final letter grade. The overall numeric score is a number in the range 0 to 100, which represents the weighted average of the student’s work. The class should have methods to compute the overall numeric grade and the final letter grade. These last methods should be void methods that set the appropriate instance variables. Your class should have a reasonable set of accessor and mutator methods, an equals method, and a toString method, whether or not your program uses them. You may add other methods if you wish.
3. Write a Temperature class that has two instance variables: a temperature value (a floating-point number) and a character for the scale, either C for Celsius or F for Fahrenheit. The class should have four constructor methods: one for each instance variable (assume zero degrees if no value is specified and Celsius if no scale is specified), one with two parameters for the two instance variables, and a no-argument constructor (set to zero degrees Celsius). Include the following: (1) two accessor methods to return the temperature—one to return the degrees Celsius, the other to return the degrees Fahrenheit—use the following formulas to write the two methods, and round to the nearest tenth of a degree:
DegreesC=5(degreesF−32)/9DegreesF=(9(degreesC)/5+32);
DegreesC=5(degreesF−32)/9DegreesF=(9(degreesC)/5+32);
(2) three mutator methods: one to set the value, one to set the scale (F or C), and one to set both; (3) three comparison methods: an equals method to test whether two temperatures are equal, one method to test whether one temperature is greater than another, and one method to test whether one temperature is less than another (note that a Celsius temperature can be equal to a Fahrenheit temperature as indicated by the above formulas); and (4) a suitable toString method. Then write a driver program (or programs) that tests all the methods. Be sure to use each of the constructors, to include at least one true and one false case for each of the comparison methods, and to test at least the following temperature equalities: 0.0 degrees C = 32.0 degrees F, –40.0 degrees C = –40.0 degrees F, and 100.0 degrees C = 212.0 degrees F.
In: Computer Science
You are currently auditing Speed Pty Ltd (Speed), a subsidiary of Tech Ltd (Tech). Speed is an internet service provider that provides free internet access to its subscribers. In return, subscribers agree to provide their name, address and other details to Speed for the purpose of on-selling this information to various marketing firms. When Speed was established two years ago, its business plan stated that it would need 25,000 subscribers in order to break even. Speed has experienced demand far in excess of this but unfortunately, due to technological problems, it can only provide services to 21,000 subscribers at the present time. This has reduced the price that third parties are prepared to pay for subscriber information, as they need a certain volume of each type of consumer (for example, males aged 25-35 earning more than $60,000 p.a.) to make their marketing efforts worthwhile. Speed is the third-largest of seven ‘free-access’ providers in the industry. The two biggest providers are each approximately 30 percent larger than Speed, and both are seeking to rapidly expand their customer base. Over the past few months, Speed has been negotiating to buy the business of one of its smaller rivals, Network Pty Ltd (Network). This would give Speed access to more subscribers and, more critically, access to Network’s software, which has the capacity to support another 50,000 users.
In response to Speed’s directors’ concerns regarding Speed’s financial situation, Tech has agreed to become a ‘lender of last resort’ should Speed need urgent financial assistance. However, Tech’s management has made it clear that this assistance will only be provided if Speed is in serious danger of going into receivership.
Speed’s directors are all young ‘whiz-kids’ with backgrounds in the computer and technology industries. Each has an equity share in the business. Recently the board split into two distinct factions, and relations among the board members are now less than harmonious. The financial controller has expressed concern that key business decisions are being delayed because the board is not focused on the business. Unresolved issues include a proposed additional capital injection from each of Speed’s directors to see the company through its present difficulties.
Required:
a) List the factors that indicate that Speed may have a going concern problem. For each factor, identify and discuss any related mitigating factors.
b) Outline the key additional information you would need to obtain before reaching a conclusion on Speed’s going concern status.
c) If all seven entities in the industry are experiencing software problems and are unable to satisfy demand for their services, how will this change the way you assess the going concern status of Speed?
In: Accounting
3. Resistors and capacitors are not marked with their exact values, but only approximate values with a tolerance. Determine the tolerance marked on the resistors and capacitors you are using. If there is a discrepancy between the two quantities compared in Question 2, can the tolerance values explain the difference?
7.What fraction of the initial potential remains after one time constant has passed? After two time constants? Three?
In: Physics
In the World Series the first team to win four games wins the championship. If the two teams are evenly matched, then the probabilities that the series will be decided after 4, 5, 6, or 7 games are given below. a) What is the expected number of games that will be required to decide the championship? b) Calculate the probabilities. Explain your logic and show all work.
Number of games: 4, 5, 6, 7
Probability: 1/8, 1/4, 5/16, 5/16
In: Physics
Problem 8-7 Portfolio required return
Suppose you are the money manager of a $4.09 million investment fund. The fund consists of 4 stocks with the following investments and betas: Stock Investment Beta A $ 380,000 1.50 B 500,000 - 0.50 C 1,060,000 1.25 D 2,150,000 0.75 If the market's required rate of return is 10% and the risk-free rate is 7%, what is the fund's required rate of return? Round your answer to two decimal places.
In: Finance
In practice, a common way to value a share of stock when a company pays dividends is to value the dividends over the next seven years or so, then find the “terminal” stock price using a benchmark PE ratio. Suppose a company just paid a dividend of $3.50. The dividends are expected to grow at 8 percent over the next seven years. The company has a payout ratio of 35 percent and a benchmark PE of 45. What is the target stock price in seven years? What is the stock price today assuming a required return of 12 percent on this stock?
In: Finance
as financial adviser. A 35-year old teacher with $100,000 dollars to invest has approached you. The teacher is married and has two children who are five years and seven years old. Please share the specific advice you would give to the teacher in terms of investment assets (types of mutual funds, bonds etc....) and allocations to be chosen.
In: Finance
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ai) Find the mean number of claims made by the sample of smokers and nonsmokers in the group separately.(i.e mean of smokers, mean of nonsmokers)
ii) What is the standard deviation of family size for this population of workers? (standard deviation of popuation) Standardize by converting your “X” values into “Z” values to see whether their historical values match up well with the new company. Use a Z table Hint: use the (ai) and (aii) values along with the means and standard deviations you calculated.
b) First find the Z-value for smokers.
c) And now the Z for nonsmokers.
d) Using your Z-table, find the probability that a nonsmoker will make fewer than 6 claims.
e) Next, find the probability that a smoker will make more than 11 claims.
f) Final Recommendation: This firm will be more risky than the current customer risk pool. True or False
In: Math
Patient Introduction Location: Medical-Surgical Unit 2315 Report from day shift nurse: Situation: Christopher Parrish is an 18-year-old male who was admitted at 1900 today. His mother visited him at his college dormitory and was very concerned with his health; he seemed weak and had lost weight since she last saw him. She took him to see his primary care provider, and the provider admitted him and has ordered a tube feeding. I placed an 8-Fr, 42-inch feeding tube in his right nares about an hour ago, and x-ray just called and confirmed placement in the stomach. The pump is in his room. He is up to the bathroom prn; otherwise bed rest. Background: Christopher was diagnosed with cystic fibrosis as a child and has had frequent hospitalizations previously. He reports fatigue and has recently lost 6 kg (13.2 lb) after he registered at the local college and moved to live in a dormitory. Chris's mom was here earlier, but she is a single parent and has two younger boys, so she had to go home. Assessment: Christopher is awake and alert. His heart rate and rhythm are regular at 80–85/min. Breath sounds are fine with a respiratory rate at 18/min. His color is a bit pale. Blood pressure is 118/78 mm Hg. He reports no pain and states he's not had much appetite the past few weeks. His belly is flat and nontender. Bowel sounds are normoactive. Recommendation: Christopher is due for vital signs and assessment. The tube feeding just arrived, and you will need to start it on the pump. He needs 720 kilocalories over 8 hours overnight. His regular diet is high calorie, high fat, but he wasn't too hungry this evening; just had a bit of his chocolate shake. You will need to give his pancreatic enzymes orally before you start the tube feeding. You should also assess his diet and reinforce patient education on nutrition. what are the assessment objective and subjective. Expected outcomes . Interventions nurse does . Rationale (because). Evaluation (did EO happen?).
In: Nursing