Unfortunately‚ your small firm cannot afford the expensive databases that would provide all this information with a few simple keystrokes‚ but that’s why they hired you. Specifically‚ you have been asked to determine the monthly average returns and standard deviations for the 12 stocks for the past five years. The stocks (with their symbols in parentheses) are: Apple Computer (AAPL) Hershey (HSY) Archer Daniels Midland (ADM) Motorola
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same set‚ because the audit team could request a comprehensive documents package from the client. The sample size table in Appendix A indicates that a sample size of 58 is acceptable for the first control‚ but the higher estimated population deviation rate for the second control suggests that a larger sample size of 77 is necessary in order to gather sufficient evidence and obtain reasonable assurance over the control. The larger of the possible sample sizes should be selected for testing‚ because
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TABLE OF CONTENTS TABLE OF CONTENTS page number 1 DESIGN 1 1.1 Defining the problem 2 Focus / research question Hypothesis Background information / theory Investigation Variables 1.2 Controlling Variables 3 Treatment of Controlled Variables Control Experiment 1.3 Experimental Method 4 Materials Risk Assessment Method 2 DATA COLLECTION and PROCESSING * 2.1 Recording Raw Data Quantitative Data Qualitative Data 2.2 Processing
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1 2 3 4 5 P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10 Find P( X < 3) A.0.20 B.0.15 C.0.80 D.0.85 Given that Z is a standard normal random variable‚ P(-1.0 < Z < 1.5) is A.0.9332 B.0.0919 C.0.8413 D.0.7745 The standard deviation of a probability distribution must be: A.a negative number B.a nonnegative number C.less than the value of the mean D.a number between 0 and 1 If Z is a standard normal random variable‚ then the value z for which P(-z < Z < z)
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that the new coating would not reduce driving distances‚ and would be comparable to the current product. Section II: Relevant Statistical Results Statistic Current Model New Model Sample Mean 270.275 267.500 Standard Error 1.3840 1.5648 Standard Deviation 8.7530 9.8969 Sample Size 40 40 Confidence Level (95%) 2.62 3.14 Degrees of freedom 39 39 t = 1.33 Comparisons 1. A two tail hypothesis test was conducted based on the sample studies of 40 current and 40 new golf balls. The testing was performed
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returns? 3. HMC’s estimates of expected returns‚ standard deviations and correlations differ from the twenty-year historical estimates. Why might this be? Comment on the difference between the two sets of estimates‚ focusing especially on expected returns and standard deviations. 4. Let’s assume from now on HMC’s estimates of expected returns‚ standard deviations and correlations. Comment on the estimates of expected returns and standard deviations. What is the MRP assumed by HMC? 5. Comment on the signs
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computing and understanding a measure of something‚ the average - or - the standard deviation? The Standard deviation is more useful for computing and understanding the measure of something. For example‚ if you know the standard deviation of a test given to a group of students is 5 and the average is 80‚ this tells you much more information than just having the average score. If on the other hand the standard deviation is 20 and the average is still 80‚ this tells yet another story. 2. Why would
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Question No. 1 A survey to collect data on the entire population is a census a sample a population an inference Question No. 2 A portion of the population selected to represent the population is called statistical inference descriptive statistics a census a sample Question No. 3 Qualitative data can be graphically represented by using a(n) Options histogram frequency polygon ogive bar graph Question No. 4 Fifteen percent of the students in a school of Business Administration
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on the left is positively skewed. The one on the right is negatively skewed. Measure of Skewness: 1. Karl Pearson coefficient of Skewness Sk = 3(mean - median) / Standard Deviation. = 3(X –Me) / S 2. The skewness of a random variable X is denoted or skew(X). It is defined as: where and are the mean and standard deviation of X. Interpretation: 1. If Sk = 0‚ then the frequency distribution is normal and symmetrical. 2. If Sk 0‚ then the frequency distribution is positively skewed. 3. If Sk 0‚
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Statistics – Lab Week 2 Name:Michael Jacks Math221 Statistical Concepts: * Using MINITAB * Graphics * Shapes of Distributions * Descriptive Statistics * Empirical Rule Data in MINITAB * MINITAB is a powerful‚ yet user-friendly‚ data analysis software package. You can launch MINITAB by finding the icon and double clicking on it. After a moment you will see two windows‚ the Session Window in the top half of the screen and the Worksheet or Data Window in the bottom
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