A commuter train arrives punc- tually at a station every half hour. Each morning, a commuter...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A commuter train arrives punc- tually at a station every half hour. Each morning, a commuter named John leaves his house and casually strolls to the train sta- tion. John thinks that he is unlucky and that he waits longer for the train on average than he should. a. Assuming that John is not unlucky, how long should he expect to wait for the train, on average? b. Assuming that John is not unlucky, identify the distribution of the times he waits for the train. c. The following is a sample of the times, in minutes, that John waited for the train. 24 26 20 3 19 28 22 4 11 5 16 24 Use the Wilcoxon signed-rank test to decide, at the 10% sig- nificance level, whether the data provide sufficient evidence to conclude that, on average, John waits more than 15 minutes for the train. d. Explain why the Wilcoxon signed-rank test is appropri- ate here. e. Is the Wilcoxon signed-rank test more appropriate here than the t-test? Explain your answer. A commuter train arrives punc- tually at a station every half hour. Each morning, a commuter named John leaves his house and casually strolls to the train sta- tion. John thinks that he is unlucky and that he waits longer for the train on average than he should. a. Assuming that John is not unlucky, how long should he expect to wait for the train, on average? b. Assuming that John is not unlucky, identify the distribution of the times he waits for the train. c. The following is a sample of the times, in minutes, that John waited for the train. 24 26 20 3 19 28 22 4 11 5 16 24 Use the Wilcoxon signed-rank test to decide, at the 10% sig- nificance level, whether the data provide sufficient evidence to conclude that, on average, John waits more than 15 minutes for the train. d. Explain why the Wilcoxon signed-rank test is appropri- ate here. e. Is the Wilcoxon signed-rank test more appropriate here than the t-test? Explain your answer.
Expert Answer:
Answer rating: 100% (QA)
To address the question we need to perform the Wilcoxon signedrank test on the provided data The Wilcoxon signedrank test is a nonparametric statistical test that compares the median of a single sample to a specified value in this case 15 minutes the expected wait time if John is not unlucky Here are the data points from the image 24 20 3 19 28 22 26 4 11 5 16 24 First we will follow the steps for performing the Wilcoxon signedrank test 1 Calculate the differences between the observed times and the median value were testing against 15 minutes 2 Rank the absolute values of these differences ignoring the sign the smallest difference gets rank 1 the next smallest rank 2 and so on 3 Sum the ranks for the differences that are positive and those that are negative separately 4 The test statistic ... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A commuter train arrives punctually at a station every half hour. Each morning, a commuter named John leaves his house and casually strolls to the train station. The time, in minutes, that John waits...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
On January 2, 2013, Parker Corporation invests in the stock of Quarry Corporation. Quarry's book value is $4 million and its assets and liabilities are fairly reported. Quarry reports income of $3...
-
A 25 kg piston is above a gas in a long vertical cylinder. Now the piston is released from rest and accelerates up in the cylinder reaching the end 5 m higher at a velocity of 25 m/s. The gas...
-
Assume that a company has two classes of shares that both have voting rights and are entitled to the proceeds of net assets on dissolution. One class is entitled to receive 10 times the dividends of...
-
Connor Health Foods has 10,000 shares of \(\$ 1\) par common stock outstanding, which was issued at \(\$ 10\) per share. Connor also has retained earnings of \(\$ 80,000\). How much is Connor's total...
-
A painting operation is performed by a production worker at a labor cost of $1.40 per unit. A robot spray painting machine, costing $15,000, would reduce the labor cost to $0.20 per unit. If the...
-
Book Hin Print eferences Lucia Company has set the following standard cost per unit for direct materials and direct labor Direct materials (15 pounds @ $5 per pound) Direct labor (3 hours $15 per...
-
Dobson Manufacturing Company uses a job order cost system with manufacturing overhead applied to products on the basis of direct labor dollars. At the beginning of the most recent period, the company...
-
Emotional Intelligence (EI) is about recognizing and managing your emotions and those of others. There are four fundamental aspects of EI which are Self-Awareness, Self-management , Social Awareness,...
-
If the point (-5,-2) lies on the graph of 4y-4=f ( (x1). point on the graph of y = f(x). (2 marks) what is the corresponding
-
Potter's Violin Co. has just issued nonconvertible preferred stock with a par value of $100 and an annual dividend rate of 16.98 percent. The preferred stock is currently selling for $116.09 per...
-
What is the present value of $3,000 per year for 9 years discounted back to the present at 11 percent?
-
The next year the common stock of Gold Corp. will pay a dividend of $6.35 per share. If the company is growing at a rate of 5.43 percent per year, and your required rate of return is 13.49 percent,...
-
Minnie wants to buy a home. She contacts the owner of a potential property that she likes. While Minnie is not sure that the home is for her, she wants to prevent someone else from buying the...
-
Wall Company sells widgets at a constant rate of 100 units per month. The cost of ordering each batch of widgets is $500 and the carrying cost per unit per month is $2. The company wants to maintain...
-
Define the essential properties of the following types of operating systems: a. Batch b. Interactive c. Time sharing d. Real time e. Network f. Parallel g. Distributed h. Clustered i. Handheld
-
From the U.S. Census Bureau and the article "U.S. Prison Population Falls for Third Year" by B. Montopoli of CBS News, we found that about 1 in every 200 Americans are in prison. Use this information...
-
The U.S. Census Bureau publishes data on housing units in American Housing Survey for the United States. The following table provides a frequency distribution for the number of rooms in U.S. housing...
-
Regarding the power of a hypothesis test: a. What does it represent? b. What happens to the power of a hypothesis test if the significance level is kept at 0.01 while the sample size is increased...
-
An unrecorded check issued during the last week of the year would most likely be discovered by the auditor when the a. Check register for the next month is reviewed. b. Bank confirmation is reviewed....
-
Which of the following cash transfers results in a misstatement of cash at December 31, 19X7? Disbursement Bank Transfer Schedule Receipt Recorded Paid by Recorded Received Transfer in books bank in...
-
The auditor should ordinarily mail confirmation requests to all banks with which the client has conducted business during the year, including those with zero balances because a. This procedure will...
Study smarter with the SolutionInn App