Problem Sheet - I 1. Researcher conducted by a 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
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Chapter 7 #42 The accounting department at Weston Materials‚ Inc.‚ a national manufacturer of unattached garages‚ reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. a. Determine the z values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect? z(29) = (29-32)/2 = -3/2 z(34) = (34-32)/2 = 1 z(32) = 0 P(32 < x <
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Part 1. Normal Distributions and Birth Weights in America 1) What percent of the babies born with each gestation period have a low birth weight (under 5.5 pounds)? a) Under 28 = 99.88% The NORMDIST formula was used to calculate: =NORMDIST(5.5‚1.88‚1.99‚True) X= 5.5 Mean= 1.88 Standard Deviation=1.19 b) 32 to 35 weeks = 43.83% The NORMDIST formula was used to calculate: =NORMDIST (5.5‚5.73‚1.48‚True) X= 5.5 Mean= 5.73 Standard Deviation=1.48 c)
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completion of this course will provide students with a working knowledge of the principles of statistics‚ the ability to analyze and solve problems involving probability‚ and a working knowledge of averages and variations‚ normal probability distributions‚ sampling distributions‚ confidence intervals and testing statistical hypotheses. The emphasis of the course will be on the proper use of statistical techniques and their implementation rather than on mathematical proofs. (Prerequisite: MATH110 formerly
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examination. The distribution of marks is shown in the following grouped frequency table. Marks|1–10|11–20|21–30|31–40|41–50|51–60|61–70|71–80|81–90|91–100| Number of candidates|15|50|100|170|260|220|90|45|30|20| (a) Copy and complete the following table‚ which presents the above data as a cumulative frequency distribution. (3) Mark|£10|£20|£30|£40|£50|£60|£70|£80|£90|£100| Number of candidates|15|65|||||905|||| (b) Draw a cumulative frequency graph of the distribution‚ using a scale of
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I. Read The Wall Street Journal and The Economist daily. II. Become intimate with Microsoft Excel. III. Know the fundamentals of Accounting. IV. Refresh working knowledge of Statistics. Harvard Business School Dean Announces 5 New Priorities What does this mean for you? During the interview‚ you will be asked to articulate why a particular school’s curriculum is a good fit for you and your professional goals. Make sure you understand the distinctions between different programs — which
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•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
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statistics such as the mean‚ median‚ mode‚ range‚ standard deviation‚ variance‚ standard error of the mean‚ and confidence intervals. These statistics are used to summarize data and provide information about the sample from which the data were drawn and the accuracy with which the sample represents the population of interest. The mean‚ median‚ and mode are measurements of the “central tendency” of the data. The range‚ standard deviation‚ variance‚ standard error of the mean‚ and confidence intervals provide
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sold‚ and that units left unsold at the end of the season were sold at a loss that average 8 percent of wholesale price. Therefore‚ the stock out probability equal to 8%/(24%+8%)=25% so there are 75% probability of being less than mean+0.67*SD (standard deviation). According to z table‚ z equal to 0.67 when probability is 0.75. Therefore‚ we can calculate quantity for each style include the risk of stock out by using formulate Q*=mean+z*SD. Therefore‚ we can get the maximum order units for each style
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which component should get it to obtain the highest overall reliability? 17. A major television manufacturer has determined that its 19-inch color TV picture tubes have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-half year. a. What probability can you assign to service lives of at least (1) Five years? (2) Six years? (3) Seven and one-half years? b. If the manufacturer offers service contracts of four years on these
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