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What is the value of x?
3 • (–4) • x = 0
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Explanation & Answer
x=infinite..............................
-12x=0
x=0
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This quiz asks questions about fundamental statistical concepts, including two types of hypothesis tests.
The first, a hypothesis test involving a single mean, is exemplified by another question about sardines. (There are not m ...
This quiz asks questions about fundamental statistical concepts, including two types of hypothesis tests.
The first, a hypothesis test involving a single mean, is exemplified by another question about sardines. (There are not many exciting examples that illustrate this type of test.). The second type of hypothesis test is much more interesting and it involves the difference between two means (we call this a "difference in means" test.). You have been calculating differences in means using the health survey data; in this quiz, you will carry out a difference-in-means test using data on bicycle trip duration.*** Note: All the questions, except the last one, are answerable using pen and paper. Indeed, you will come away from this class with a much better understanding of the concepts if you try to work through them "by hand" rather than first going to the computer or calculator. Thus, in addition to answering the quiz, you are required to send to me your written answers. You may scan you answers and email to me a pdf or type up your answers in Word and email it to me. You must turn in individual, NOT group, writeups, and cases of clear copying will be considered cheating and given a final score of 0.1. True or False. In statistics, the result that in large enough samples, the mean of a random variableis normally distributed, regardless of how the random variable is distributed, is called the CentralLimit Theorem2.You observe five random numbers: 2,2,3,4,4. The mean of this data is 3. What is the standard deviation? (This should be done with a pen and paper, and the formula on p. 36, note 16 of(1,3,2,0.5)3.For a random variable with the mean and standard deviation you found in Question 2 above, what is standard deviation of the sample average in repeated samples where n=5? (In other words, what is the standard error of the sample mean when n=5?). Hints: To calculate the standard error, use the formula given in equation 1.6 of Mastering Metrics. The square root of 5 is 2.25.8/9 1 2 2/9 4/94. On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans andfind the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a testof the null hypothesis that the population average is 10? Can you reject the null at the 5%significance level?-2.5; no -2.5; yes -.25; no-.25; yes5.The table below contains the raw data from Professor Rietz’s six bike trips between the trainstation and the MLK library. In addition to the date of the trip and the duration, it also tells thestarting location and the ending location. Time is in minutes, rounded to the nearest wholenumber. As you can infer, Prof. Rietz arrives at the train station at the start of the day, bikes tocampus, works on campus, and then bikes back to the station at the end of the day.The average duration of trips starting at the Train Station was ___ while the average duration oftrips starting at the Library was ___6; 1010; 69; 77; 96.Consider a test of the null hypothesis that there is no difference between the average duration oftrips that start at the Library and trips that start at the Train Station. Which of the following is theapproximate value of the appropriate test statistic for such a test? (Hint: use the test statisticformula in the middle of page 45 of MM; for the standard error that appears in the denominatorof the test statistic formula, use the separate-variance formula that appears in footnote 17.)3.81.22.44.23.77.True or False: Given the value of the test statistic you found above, is the effect of starting location on trip duration statistically significant?T/F
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Post a very brief description (1–3 sentences) of the article you found and address the following:Describe how you think the research in the article is useful (e.g., what population is it helping? What problem is it solving?).Using Y=f(X) +E notation, identify the independent and dependent variables.How might the research models presented be wrong? What types of error might be present in the reported research?
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Situation A VITRAN Bus Services
VITRAN Bus Services purchases diesel fuel from Domino Gas Supply. In addition to fuel cost, Domino Gas Supply charges VITRAN Bus Services $250 per order to cover the expenses of delivering and transferring the fuel to VITRAN Bus Services storage tanks. The lead time for new shipment from Domino Gas Supply is 10 days, the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year and the annual usage of fuel is 150,000 gallons. VITRAN Bus Services buses operate 300 days a year.
What is the optimal order quantity for VITRAN Bus Services?
How frequently should VITRAN Bus Services order to replenish the gasoline supply?
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This quiz asks questions about fundamental statistical concepts, including two types of hypothesis tests.
The first, a hypothesis test involving a single mean, is exemplified by another question about sardines. (There are not m ...
This quiz asks questions about fundamental statistical concepts, including two types of hypothesis tests.
The first, a hypothesis test involving a single mean, is exemplified by another question about sardines. (There are not many exciting examples that illustrate this type of test.). The second type of hypothesis test is much more interesting and it involves the difference between two means (we call this a "difference in means" test.). You have been calculating differences in means using the health survey data; in this quiz, you will carry out a difference-in-means test using data on bicycle trip duration.*** Note: All the questions, except the last one, are answerable using pen and paper. Indeed, you will come away from this class with a much better understanding of the concepts if you try to work through them "by hand" rather than first going to the computer or calculator. Thus, in addition to answering the quiz, you are required to send to me your written answers. You may scan you answers and email to me a pdf or type up your answers in Word and email it to me. You must turn in individual, NOT group, writeups, and cases of clear copying will be considered cheating and given a final score of 0.1. True or False. In statistics, the result that in large enough samples, the mean of a random variableis normally distributed, regardless of how the random variable is distributed, is called the CentralLimit Theorem2.You observe five random numbers: 2,2,3,4,4. The mean of this data is 3. What is the standard deviation? (This should be done with a pen and paper, and the formula on p. 36, note 16 of(1,3,2,0.5)3.For a random variable with the mean and standard deviation you found in Question 2 above, what is standard deviation of the sample average in repeated samples where n=5? (In other words, what is the standard error of the sample mean when n=5?). Hints: To calculate the standard error, use the formula given in equation 1.6 of Mastering Metrics. The square root of 5 is 2.25.8/9 1 2 2/9 4/94. On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans andfind the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a testof the null hypothesis that the population average is 10? Can you reject the null at the 5%significance level?-2.5; no -2.5; yes -.25; no-.25; yes5.The table below contains the raw data from Professor Rietz’s six bike trips between the trainstation and the MLK library. In addition to the date of the trip and the duration, it also tells thestarting location and the ending location. Time is in minutes, rounded to the nearest wholenumber. As you can infer, Prof. Rietz arrives at the train station at the start of the day, bikes tocampus, works on campus, and then bikes back to the station at the end of the day.The average duration of trips starting at the Train Station was ___ while the average duration oftrips starting at the Library was ___6; 1010; 69; 77; 96.Consider a test of the null hypothesis that there is no difference between the average duration oftrips that start at the Library and trips that start at the Train Station. Which of the following is theapproximate value of the appropriate test statistic for such a test? (Hint: use the test statisticformula in the middle of page 45 of MM; for the standard error that appears in the denominatorof the test statistic formula, use the separate-variance formula that appears in footnote 17.)3.81.22.44.23.77.True or False: Given the value of the test statistic you found above, is the effect of starting location on trip duration statistically significant?T/F
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To complete this section, please review the articles on DAGs in the Week 5 Learning Resources. You may use any drawing too ...
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Step 1: Choose ONE of the triangles and graph below: The triangle which I am choosing to work on is an Obtuse Scalene Tria ...
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Post a very brief description (1–3 sentences) of the article you found and address the following:Describe how you think ...
RSCH 8210 Walden Body Fat Percentage Body Mass Index Fat Mass Index and Ageing Bone Article Response
Post a very brief description (1–3 sentences) of the article you found and address the following:Describe how you think the research in the article is useful (e.g., what population is it helping? What problem is it solving?).Using Y=f(X) +E notation, identify the independent and dependent variables.How might the research models presented be wrong? What types of error might be present in the reported research?
University of The Virgin Islands Inventory Policy Questions
Situation A VITRAN Bus Services
VITRAN Bus Services purchases diesel fuel from Domino Gas Supply. In addition to fuel cost ...
University of The Virgin Islands Inventory Policy Questions
Situation A VITRAN Bus Services
VITRAN Bus Services purchases diesel fuel from Domino Gas Supply. In addition to fuel cost, Domino Gas Supply charges VITRAN Bus Services $250 per order to cover the expenses of delivering and transferring the fuel to VITRAN Bus Services storage tanks. The lead time for new shipment from Domino Gas Supply is 10 days, the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year and the annual usage of fuel is 150,000 gallons. VITRAN Bus Services buses operate 300 days a year.
What is the optimal order quantity for VITRAN Bus Services?
How frequently should VITRAN Bus Services order to replenish the gasoline supply?
The VITRAN Bus Services storage tanks a capacity of 15,000 gallons. Should VITRAN Bus Services considers expanding the capacity of its storage tanks?
What is the reorder point?
Situation B Advance Auto Parts
Advance Auto purchases a component used in the manufacture of automobile generators directly from the supplier. Advance Auto’s generator production operation, which is operated at a constant rate will require 1000 components per month throughout the year (12,000 units annually). Assume the ordering costs are $25 per order, the unit cost is $2.50 per component, and annual holding costs are 20% of the value of the inventory. Advance Auto has 250 working days per year and a lead time of 5 days. Answer the following inventory policy questions:
What is the EOQ for this component?
What is the reorder point?
What is the cycle time?
What are the total annual holding and ordering costs associated with your recommended EOQ?
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