1

Exercise 13. Suppose I tell you that the following list of 20 numbers is a random...

Question

Exercise 13. Suppose I tell you that the following list of 20 numbers is a random...

Exercise 13. Suppose I tell you that the following list of 20 numbers is a random sample from a Gaussian random variable, but I dont tell you the mean or standard deviation. Also, around one or two of the numbers was corrupted by noise, computational error, tabulation error, etc., so that it is totally unrelated to the actual Gaussian random variable. -1.2045, -1.4829, -0.3616, -0.3743, -2.7298, -1.0601, -1.3298, 0.2554, 6.1865, 1.2185 一2.7273.-0.8453.-3.4282.-3.2270.-1.0137, 2.0653.-5.5393,-0.2572.-1.4512. 1.2347 To the best of your ability, determinc what the mean and standard deviation are of this random variable. Supposing you had instead a billion numbers, and 5 or 10 percent of them were corrupted samples, can you come up with some automatic way of throwing out the corrupted samples? (Once again, there could be more than one right answer here; the question is intentionally open-ended.)

Exercise 13. Suppose I tell you that the following list of 20 numbers is a random sample from a Gaussian random variable, but I don't tell you the mean or standard deviation. Also, around one or two of the numbers was corrupted by noise, computational error, tabulation error, etc., so that it is totally unrelated to the actual Gaussian random variable. -1.2045, -1.4829, -0.3616, -0.3743, -2.7298, -1.0601, -1.3298, 0.2554, 6.1865, 1.2185 一2.7273.-0.8453.-3.4282.-3.2270.-1.0137, 2.0653.-5.5393,-0.2572.-1.4512. 1.2347 To the best of your ability, determinc what the mean and standard deviation are of this random variable. Supposing you had instead a billion numbers, and 5 or 10 percent of them were corrupted samples, can you come up with some automatic way of throwing out the corrupted samples? (Once again, there could be more than one right answer here; the question is intentionally open-ended.)

Answers

Observation Mean Standard deviation (SD) Z score (Observation-mean)/SD) 0.1657 0.2808 0.1827 0.1775 -0.7963 0.106 -0.2175 0.4378 2.8899 0.836 -0.7953 -0.0172 -1.0851 1.0019 0.0869 1.1861 -1.9578 0.2259 0.2677 0.8427 1.2045 -0.80359 2.418835811 1.4829 0.3616 0.3743 -2.7298 1.0601 1.3298 0.2554 6.1865 1.2185 -2.7273 0.8453 3.4282 3.227 -1.0137 2.0653 5.5393 0.2572 1.4512 1.2347

Using Z score we do not find any outlier (since no observation lies outside the interval (-3,3)).

Boxplot of Observation 7.5- 5.0 2.5 0.0 -2.5 5.0

From box plot we observe that there is one outlier i.e. 6.1865 and it is a corrupted sample.

So mean excluding 6.1865=-1.17149

and standard deviation excluding 6.1865=1.82165307


Similar Solved Questions

1 answers
Lynette is the CEO of publicly traded TTT Corporation and earns a salary of $370,000 in...
Lynette is the CEO of publicly traded TTT Corporation and earns a salary of $370,000 in the current year. What is TTT Corporation’s after-tax cost of paying Lynette’s salary excluding FICA taxes?...
1 answers
Direct Financing Lease (Lessor) • Caterpillar signed a lease arrangement for an equipment with Sterling Corporation...
Direct Financing Lease (Lessor) • Caterpillar signed a lease arrangement for an equipment with Sterling Corporation on 1/1/17 on the following terms: • Lease term is 5 years, non-cancellable, requiring annual payments of 25,981.62 at the beginning of each year (annuity due). • The equ...
1 answers
Both in percentage and mole ratio 2. Calculate the mass of carbon in grams in 5.00...
Both in percentage and mole ratio 2. Calculate the mass of carbon in grams in 5.00 grams of aspirin (C9H304) based on two methods discussed in class (mole ratio and mass percentage). (Hint: Chapter 8 worksheet Q#3) (6pts)...
1 answers
Knowing that the knee joint has cartilage, which contains extracellular matrix and that “wear and tear”...
Knowing that the knee joint has cartilage, which contains extracellular matrix and that “wear and tear” can cause arthritis answer the following questions; (5 pts) (a) What is the major type of protein that handles mechanical stress found in extracellular matrix? (b) What is the major ty...
1 answers
Given an interest rate of 6.75 percent per year, what is the value at Year 10...
Given an interest rate of 6.75 percent per year, what is the value at Year 10 of a perpetual stream of $3,500 payments that begin at Year 20? (Do not round Intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Value at Year 10...
1 answers
The most effective way to prepare for a speech delivery is to: cccc A. Perform in...
The most effective way to prepare for a speech delivery is to: cccc A. Perform in the style of the elocutionists. B. Prepare specific gestures for specific points. C. Refrain from rehearsing so the delivery seems spontaneous. D. None of the above....
1 answers
Researchers are interested in the effect of a certain nutrient on the growth rate of plant...
Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the​ nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those​ h...
1 answers
For the below code find and fix the errors then tell what the output would be....
For the below code find and fix the errors then tell what the output would be. import java.utils.*; public class pin public void main(String[] args); { char s; int num; Scanner br = Scanner(System.in); System.out.print("Enter the first letter of your name :"); s = BR.next().charAt(0); num = ...
1 answers
Anemos Force Once started this test must be completed in one sent Doroteave the test before...
Anemos Force Once started this test must be completed in one sent Doroteave the test before di Save and Submit Completion Remaining Time: 2 hours, 27 minutes, 00 seconds Question Completion Status: Moving to another question will save this response Question 2319 Question 23 4 points How many ml. of ...
1 answers
Il tells a. An analysis of WTI's insurance policies shows that $3.468 of coverage has expired....
il tells a. An analysis of WTI's insurance policies shows that $3.468 of coverage has expired. b. An inventory count shows that teaching supplies costing $3,006 are available at year-end. c. Annual depreciation on the equipment is $13,871 d. Annual depreciation on the professional library is $6,...
1 answers
On March 1, 2021, Stratford Lighting issued 12% bonds, dated March 1, with a face amount...
On March 1, 2021, Stratford Lighting issued 12% bonds, dated March 1, with a face amount of $810,000. The bonds sold for $795,000 and mature on February 28, 2041 (20 years). Interest is paid semiannually on August 31 and February 28. Stratford uses the straight-line method and its fiscal year ends D...
1 answers
The correct equation to calculate the equivalent amount of money “F” that can be spent 10...
The correct equation to calculate the equivalent amount of money “F” that can be spent 10 years from now in lieu of spending $35,000 now at an interest rate of 15% per year is: (a) F= 35,000(F/P, 10%, 15) (b) F= 35,000(P/F, 15%, 10) (c) F= 35,000(F/P, 15%, 10) (d) F= 35,000(P/A, 15%, 10)...
1 answers
Cultural Variations Related to Death and Dying Guidelines in Japan (at least 400 words please).
Cultural Variations Related to Death and Dying Guidelines in Japan (at least 400 words please)....
1 answers
Question 25 (9 points) Imagine that you are the store manager at Paper Clips, an office...
Question 25 (9 points) Imagine that you are the store manager at Paper Clips, an office supply retailer. Every year, Paper Clips' corporate headquarters surveys all hourly employees in your store to assess the extent to which the store employees are satisfied with their jobs, how well they perfo...
1 answers
I need the answers for # 5 and #8 2) m m mi Now, three masses...
I need the answers for # 5 and #8 2) m m mi Now, three masses m, = 4.8 kg, m2 = 14.4 kg and m2 = 9.6 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above. What is the force the top spring exerts on the top mass? ...
1 answers
6. Sam is planning a summer trip to Italy so he can study accounting where the...
6. Sam is planning a summer trip to Italy so he can study accounting where the world-famous accountant Luca Pacioli did. Unfortunately, Sam is short of $7,500 for the trip due to his recent injury. Luke has agreed to loan Sam the money because he believes that the homage to the double entry birthpla...
1 answers
1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and th...
question 1 and 2 please, thank you. 1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and the edges between those vertices represent roads. And suppose that you want to start traveling from town A, pass through each town exactly once, and then end at town F. ...
1 answers
3. A roller coaster sits at the top of a hill and is preparing to enter...
3. A roller coaster sits at the top of a hill and is preparing to enter a loop-the-loop as shown below. The hill has a height of 86.0 meters, the loop has a radius of 22.0 meters and the roller coaster has a mass of 525 kg. Assume h=0 at the bottom of the hill. a) What will be the velocity of the ro...
1 answers
5. Refer to the Income Statement below. What is the operating cash flow for 2017? ABC...
5. Refer to the Income Statement below. What is the operating cash flow for 2017? ABC Corporation 2017 Income Statement ($ in millions) Net Sales Cost of Goods Sold Depreciation Earnings before interest and taxes Interest paid Taxable income Less Taxes Net income 25,070 17,241 1,877 5,952 1,654 4,29...

-- 0.011170--