manager receives a daily salary of $200 plus $85 per car sold. What is the expected value and standard deviation of her salary? (Hint: Use the ‘Summary of the Laws of Expected Value and Variance’ slide in the lecture notes.) Exercise 5.4. Now assume the company managing the network gets penalised $900 for each interruption. Calculate the expected daily penalty. Calculate the standard deviation of the daily penalty. (Hint: Use the ‘Summary of the Laws of Expected Value and Variance’ slide in the
Premium Variance Probability theory Random variable
to verify the answer. Check and see the effect on acceptance of pins‚ when the mean and standard deviations are manipulated. Identify the most profitable situation based on cost of reengineering. 1. What is the probability that a batch will be acceptable to the consumer and if the probability is large enough to be an acceptable level of performance? 2. If the population mean and standard deviation of the length of the pins are adjusted in order to improve the percentage accepted‚ which one do you
Premium Arithmetic mean Standard deviation Normal distribution
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
Premium Standard deviation Arithmetic mean Statistics
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
Premium Sample size Financial audit Standard deviation
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
Premium Standard deviation Statistics Data
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)
Premium Normal distribution Standard deviation Variance
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
Premium Sample size Statistics Arithmetic mean
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
Premium Investment The Return Microsoft Excel
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
Premium Statistics Arithmetic mean Spearman's rank correlation coefficient
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
Premium Standard deviation Statistics Median