tobacco company indicates that the relative frequency distribution of tar content of its newly developed low-tar cigarette has a mean equal to 3.9 milligrams of tar per cigarette and a standard deviation equal to 1.0 milligram. Suppose a sample of 100 low-tar cigarettes is randomly selected from a day’s production and the tar content is measured in each. Assuming that the tobacco company’s claim is true‚ what is the probability that the mean tar content of the sample is greater than 4.15 milligrams
Premium Standard deviation Normal distribution Probability theory
a graph when using a frequency distribution method for a set of data‚ splitting the mean symmetrically. There is a big difference between standard deviation and the bell curve! Standard deviation shows the difference in variation from the average; the bell curve‚ also normal distribution or Gaussian distribution‚ shows the standard deviation and is created by the normal or equal distribution of the mean among either half. The bell curve is an important distribution pattern occurring in many different
Premium Normal distribution Standard deviation
average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71. 2) At a computer manufacturing company‚ the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the probability that the sample mean will
Premium Normal distribution Standard deviation Arithmetic mean
1.0 Introduction This report will cover the distribution of final exam results for BSB123 and what factors influence the results. Factors that will be considered are the gender of the student‚ whether the student is studying a double or single degree‚ the results from the weekly quiz’s and the grade achieved on the mid semester report. The presence of outliers will be determined to help analyse the accuracy of the data. There are an infinite number of internal and external factors that contribute
Premium Standard deviation Final examination Data
Questions: 1. Using the sample data given in Table 2-20‚ make a recommendation for how many units of each style Wally should make during the initial phase of production. Assume that all of the 10 styles in the sample problem are made in Hong Kong and that Wally’s initial production commitment must be at least 10‚000 units. Ignore price differences among styles in your initial analysis. In order to decide how many units of each style Wally should make‚ we should think about their order’s
Premium Standard deviation Holding cost Risk
Chapter 12 Problems 1. Cash flow (LO2) Assume a corporation has earnings before depreciation and taxes of $100‚000‚ depreciation of $50‚000‚ and that it has a 30 percent tax bracket. Compute its cash flow using the format below. Earnings before depreciation and taxes _____ Depreciation _____ Earnings before taxes _____ Taxes @ 30% _____ Earnings after taxes _____ Depreciation _____
Premium Standard deviation Income statement Variance
•H.P.Gautam The purpose of this article is not to explain any more the usefulness of normal distribution in decision-making process no matter whether in social sciences or in natural sciences. Nor is the purpose of making any discussions on the theory of how it can be derived. The only objective of writing this article is to acquaint the enthusiastic readers (specially students) with the simple procedure ( iterative procedure) for finding the numerical value of a normally distributed variable. The
Premium Normal distribution
Executive Summary: This report talks about a Company is called Corvette‚ which sells luxury sports cars in twelve months from now. There is a table shows the order of five customers and in which currencies. Using those data I will find out mean‚ standard deviation and some probability for analysis. In addition‚ these is a case involves an offer was given to Corvette by HSBC for estimating whether it is risk or not. Furthermore‚ we also thought about what role banks plays in the case‚ and analyzed
Premium Risk Standard deviation Central bank
The Normal and Lognormal Distributions John Norstad j-norstad@northwestern.edu http://www.norstad.org February 2‚ 1999 Updated: November 3‚ 2011 Abstract The basic properties of the normal and lognormal distributions‚ with full proofs. We assume familiarity with elementary probability theory and with college-level calculus. 1 1 DEFINITIONS AND SUMMARY OF THE PROPOSITIONS 1 Definitions and Summary of the Propositions ∞ √ Proposition 1: −∞ 2 2 1 e−(x−µ) /2σ
Premium Normal distribution Cumulative distribution function
Standard Deviation use in the Business World Abstract This paper evaluates the role of standard deviation in business. As part of the evaluation‚ a brief summary of five different peer reviewed papers has been presented. Topics such as‚ the purpose of the study‚ the research questions‚ the hypothesis of the study‚ and the main findings of the study for the five papers‚ have been summarized by each of the learning team members. Standard Deviation use in the Business World Standard Deviation
Premium Standard deviation Normal distribution Risk management