The resistance R of a cylindrical battery cell is known to be Gaussian distributed with mean...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The resistance R of a cylindrical battery cell is known to be Gaussian distributed with mean "R and variance o. That is R~ N(HR, OR). Ten resistance measurements from a battery are given below. measurement (i) 1 2 3 5 6 7 Resistance (R(i))| 12.7 10.4 9.9 9.9 8.4 10.2 9.1 In the above table, it is known that each resistance R(i) ~ N(HR, OR), i= 1,..., 10. (a) Compute the sample mean R = (1/10) ER(i) based on the above ten measurements. (b) Compute the sample variance 52 = (1/10) 1 (R(i)-R)² based on the above ten measure- 8 9 10 11.7 7.8 7.9 ments. (c) Show that o = E((RR)²) = E(R²) - (E(R))² (d) Compute sample variance 52 using an alternate approach based on (c) (e) Someone tells you that sample mean is a measure of the true mean. Prove or disprove it by deriving the expected value of the sample mean E(R). The resistance R of a cylindrical battery cell is known to be Gaussian distributed with mean "R and variance o. That is R~ N(HR, OR). Ten resistance measurements from a battery are given below. measurement (i) 1 2 3 5 6 7 Resistance (R(i))| 12.7 10.4 9.9 9.9 8.4 10.2 9.1 In the above table, it is known that each resistance R(i) ~ N(HR, OR), i= 1,..., 10. (a) Compute the sample mean R = (1/10) ER(i) based on the above ten measurements. (b) Compute the sample variance 52 = (1/10) 1 (R(i)-R)² based on the above ten measure- 8 9 10 11.7 7.8 7.9 ments. (c) Show that o = E((RR)²) = E(R²) - (E(R))² (d) Compute sample variance 52 using an alternate approach based on (c) (e) Someone tells you that sample mean is a measure of the true mean. Prove or disprove it by deriving the expected value of the sample mean E(R).
Expert Answer:
Answer rating: 100% (QA)
Given that Ri NMR OR and R 2 127 104 99 gg 84 102 94 47 78 79 a b e R 52 2 JR ... View the full answer
Related Book For
Essentials Of Business Statistics Communicating With Numbers
ISBN: 9780078020544
1st Edition
Authors: Sanjiv Jaggia, Alison Kelly
Posted Date:
Students also viewed these mathematics questions
-
The frequency response of a stable LTI system is known to be real and even. Is the inverse system stable?
-
A variable is normally distributed with mean 6 and standard deviation 2. Find the percentage of all possible values of the variable that a. Lie between 1 and 7. b. Exceed 5. c. Are less than 4.
-
A variable is normally distributed with mean 10 and standard deviation 3. Find the percentage of all possible values of the variable that a. Lie between 6 and 7 b. Are at least 10 c. Are at most 17.5
-
Question 3: Assume that Narine Inc. is considering leasing a car from Proctor Inc. for a period of four years. The fair value of the car today is $36,000. The current market interest rate for...
-
Briefly describe what happens in each of the five project management process groups (initiating, planning, executing, monitoring and controlling, and closing). What types of activities are done...
-
= = XiYj. 4. (4 points) The outer product of x and y = R^ is the matrix A - xy with entries Aj Suppose = fl(xy) and derive the componentwise forward error estimate | A| |A|u, where u is the unit...
-
Describe how intentional torts and negligence differ.
-
Repeat Problem 14 for the case when two of the positive charges, on opposite comers, are replaced by negative charges of the same magnitude (Fig. 16-51) -6.00 mC 0.100 m 6.00 mC 0.100 m 0.100 m 6.00...
-
SOUTH DAKOTA CORPORATION SOUTH DAKOTA CORPORATION uses a job - order costing system with normal costing. At the start of the period, the company had the following balances: Raw Materials inventory $...
-
ZIM Inc. (ZIM) is a high-technology company that develops, designs, and manufactures telecommunications equipment. ZIM was founded in Year 5 by Dr. Alex Zimmer, the former assistant head of research...
-
You make a deposit into your bank account today. The amount is sufficient for you to make 20 quarter-end withdrawals of 5,000 starting in 3 months. How much should you deposit today if you earn an...
-
Provide some recommendations for the improvement of SRC Scientific research Council in Jamacia They are apart of the agricultural ministry ?
-
ThinkBox has the following financial results for the month of June: Sales $3,120,000 Variable costs 1,920,000 CM 1,200,000 Fixed costs 1,380,000 Profit(loss) $(180,000) A total of 200,000 units were...
-
Precision Tool is trying to decide whether to lease or buy some new equipment for its tool and die operations. The equipment costs $50,000, has a 3-year life and will be worthless after the 3 years....
-
Water Corporation distributes property valued at $315,000 and with a basis of $220,000 to a shareholder in a qualifying stock redemption. The property is subject to a liability of $160,000 that the...
-
With the following information calculate the cash conversion cycle the gross profit margin of the company is 30% Sales $ 350,000.00 Cash Balance $ 55,000.00 Accounts Receivables $ 65,000.00 Accounts...
-
An individual who runs a solo practice agrees to merge her business with a large partnership in return for a 5% share in the partnership. The individual's solo practice has a fair market value of...
-
Saccharin is an artificial sweetener that is used in diet beverages. In order for it to be metabolized by the body, it must pass into cells. Below are shown the two forms of saccharin. Saccharin has...
-
Assume that IQ scores follow a normal distribution with a mean of 100 and a standard deviation of 16. Use the empirical rule for normal distributions to answer the following questions. a. What...
-
What is the minimum sample size n required to estimate p with 95% confidence if the desired margin of error E = 0.08 ? The population proportion is estimated as = 0.36 from prior studies. What...
-
A variety of packaging solutions exist for products that must be kept within a specific temperature range. A cold chain distribution is a temperature-controlled supply chain. An unbroken cold chain...
-
Do you believe that fraud in the United States is more or less prevalent than fraud in countries outside the United States? Why?
-
How would a fraudster conceal missing cash, especially amounts of this magnitude?
-
What makes channel stuffing illegal by comparison to a car dealership that runs mega end-of-year sales?
Study smarter with the SolutionInn App