Bottle Company Case Study Daniel James Jr. Math 300 – Statistics Professor Issam MerhiStrayer University August 17‚ 2014 Mean‚ Median and Standard Deviation Explaining the make up a data description one must calculate the mean‚ median and standard deviation. To determine the mean‚ also known as the arithmetic average‚ is found by adding the value of the data and diving by the total numbers of values. In this case of a Bottle company study with thirty different bottles. The mean is 15.2‚
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portfolios‚ from July 1926 to Sep 2012 to sorted by size and BE/ME value‚ from the K French Data Library‚ and performs the Fama-Macbeth (1973) CAPM test on size and value effects. The average return and standard deviations are shown in Table I: Table I: Average returns and standard deviations of the 25 portfolios‚ from 07/1926 to 09/2012. There are a total of 1035 observations. | Portfolios | 1(Low) | 2 | 3 | 4 | 5 (High) | 6(Low) | 7 | 8 | 9 | 10(High) | Mean Return | 0.73 | 1.09 | 1.30 | 1
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points) 2. Explain the difference between [pic] and [pic] and between [pic] and[pic]? (10 points) 3. Suppose that a random sample of size 64 is to be selected from a population having [pic] and standard deviation 5. (a) What are the mean and standard deviation of the [pic] sampling distribution? Can we say that the shape of the distribution is approximately normal? Why or why not? (10 points) (b) What is the probability that [pic] will be within 0.5 of the population
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is symmetrical d. The standard deviation must be 1 o Answer:D Normal distribution is symmetric. So‚ mean=median The mean could be any number. The standard deviation is positive but it is not always 1. ____ 3. Larger values of the standard deviation result in a normal curve that is a. shifted to the right c. narrower and more peaked b. shifted to the left d. wider and flatter Answer: D The Total area under the curve is 1. If the standard deviation is larger‚ it means the curve is
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up with relevant figures of the given data samples which is tabulated below: Descriptive Statistics | Current | Proposed | Mean | 75.06557 | 75.42623 | Standard Error | 0.505094 | 0.32091 | Median | 76 | 76 | Mode | 76 | 76 | Standard Deviation | 3.944907 | 2.506385 | Sample Variance | 15.5623 | 6.281967 | Kurtosis | -0.06933 | 0.58694 | Skewness | -0.22053 | -0.28749 | Range | 19 | 13 | Minimum | 65 | 69 | Maximum | 84 | 82 | Sum | 4579 | 4601 | Count | 61 | 61 | Analysis
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decimals) Q-2b: What is the median amount spent on textbooks? (Round to two decimals) Q-2c: What is the mode with respect to the number of affiliations to clubs and other organizations of these undergraduates? Q-2d: What is the standard deviation of these students’ GPAs? (Round to two decimals) Q-2e: Using coefficients of variation‚ tell me which has more variation‚ the age of the students in this sample or the amounts that they spent on textbooks. ANSWERS Q-2a) The average
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BKM CHAPTER 5 1. The Fisher equation tells us that the real interest rate approximately equals the nominal rate minus the inflation rate. Suppose the (expected or realized) inflation rate increases from 3% to 5%. Does the Fisher equation imply that this increase will result in a fall in the real rate of interest? Explain. The Fisher equation relates nominal rates required by investors to real rates required by investors and inflation. You can think about this from two perspectives: i. Ex-ante
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standard deviation‚ to describe distributions of scores‚ and making statements of probability. In relation to standard scores‚ we can determine the percent of the total area under the normal curve associated with any given sigma distance from the mean and the probability of obtaining any raw score in a distribution. 3) What is the standard error of the mean and why is it important? If you take many random samples from a population‚ the standard error of the mean is the standard deviation of the
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instruction issued and priciples established. Controlling is to ensure there is effective and efficient utilization of organizational resources to achieve the planned goals. Controlling measures the deviation of actual performance from the standard performance‚ discover the causes of such deviations and taking necessary corrective actions. Measuring actual performance In 2 weeks duration the directors and high committee will have meetings to discuss about the current situation of the MMU Career
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Security A has an expected rate of return 6%‚ a standard deviation of returns of 30%‚ a correlation coefficient with the market of -.25‚ and a beta coefficient of -0.5. Security B has an expected return of 11% a standard deviation of returns of 10%‚ a correlation with the market of .75 and a beta coefficient 0.5. Which security is more risky? Why? From the problem‚ the standard deviation of Security A is 30% and the standard deviation of Security B is 10%. Now let’s look at the CV of each security:
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