Consider a population of 1024 mutual funds that primarily invest in large companies. You have determined that u, the mean one-year total percentage return achieved by all the funds, is 9.80 and that o, the standard deviation,is 0.50. Complete (a) through (c).a. According to the empirical rule, what percentage of these funds is expected to be within +2 standard deviations of the mean?95 %b. According to the Chebyshev rule, what percentage of these funds are expected to be within +2 standard deviations of the mean?75 % (Round to two decimal places as needed.)c. According to the Chebyshev rule, at least 88.89% of these funds are expected to have one-year total returns between what two amounts?Between and(Round to two decimal places as needed.)

Statistics is a branch of mathematics that gives us the tools to deal with large quantities of data…

Answered: = 0.50. Complete (a) through (c).…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.3, 1.3, 3.6, 5.3, 4. Calculate the standard deviation of the sample. Note: the numbers may be different from the last problem. (please express your answer using 2 decimal places)
Which if the following statistics is an unbiased estimator of its population parameter? 1. Mean (upper line) x 2. Median 3. Range 4. Standard deviation s
8. 74 57 57 83 78 53 79 66 64 100 94 68 89 71 62 90 82 93 78 92 55 77 85 95 89 Mean = 65.3 and Standard Deviation = 30.1 a. The range within One Standard Deviation is between and and the percentage within is b. The range within Two Standard Deviations is between and and the percentage within is C. The range within Three Standard Deviations is between and and the percentage within is (round to 1 decimal place)
section 5.4 Step 1 of 2 : Calculate the population mean for the shelf-life. Round your answer to two decimal places, if necessary. Step 2 of 2 : Calculate the population standard deviation for the shelf-life. Round your answer to two decimal places, if necessary.
Can you find the mean and the standard deviation?
The fitted line that results from regressions of the Single Index Model is called:a. The security specific line.b. The security characteristic line.c. The single index line.d. The security market line.
(a) The population 3, 4, 9, 14, and 20 has a mean of 10 and a standard deviation of 6.356. The z-scores for each of the five data values are z3 ≈ −1.101, z4 ≈ −0.944, z9 ≈ −0.157, z14 ≈ 0.629, and z20 ≈ 1.573. Find the mean and the standard deviation of these z-scores. mean standard deviation (b) The population 2, 6, 12, 17, 22, and 25 has a mean of 14 and a standard deviation of 8.226. The z-scores for each of the six data values are z2 ≈ −1.459, z6 ≈ −0.973, z12 ≈ −0.243, z17 ≈ 0.365, z22 ≈ 0.973, and z25 ≈ 1.337. Find the mean and the standard deviation of these z-scores. mean standard deviation (c) Use the results of part (a) and part (b) to make a conjecture about the mean and standard deviation of the z-scores for any set of data. The mean of the z-scores is always 1, and their standard deviation is 0. The mean of the z-scores is always 1 more than the standard deviation. The mean and standard deviation of z-scores are never the same.…
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The price to earnings ratio (P/E) Is an Important tool in financial work. A random sample of 14 large U.S. banks (JP Morgan Chase, Bank of America, and others) gave the following P/E ratios.t 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x = 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of a certain stock index is H = 18. Let x be a random variable representing the P/E ratio of all large U.S. bank stocks. We assume that x has a normal distribution and o = 4.7. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 18? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 18; H1: H # 18; two-tailed O Ho: H = 18; H1: H 18; right-tailed %3D O Ho: H # 18; H1: H = 18; two-tailed (b) What sampling distribution will you use? Explain the rationale…
Step 1: Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 70% of vehicles on the roads in the Minneapolis-St. Paul metropolitan area are occupied by just the driver. You choose 84 vehicles at random. What are the mean and standard deviation of the proportion of vehicles in your sample that carry only one person? (Fill in the blanks below.) The mean is (1) . (Give your answer to 1 decimal place.) (2) The standard deviation is (Give your answer to 2 decimal places.) eBook Answer 1 Answer 2
Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 6, 2.7, 3.3, 5.6, 3.7. Calculate the standard deviation of the sample. Note: the numbers may be different from the last problem. (please express your answer using 2 decimal places)

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