Chebyshev’s Theorem and The Empirical Rule Suppose we ask 1000 people what their age is. If this is a representative sample then there will be very few people of 1-2 years old just as there will not be many 95 year olds. Most will have an age somewhere in their 30’s or 40’s. A list of the number of people of a certain age may look like this: |Age |Number of people | |0 |1 | |1 |2 | |2 |3
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analysing the data is determining if outliers exists within the data. The presence of outliers must be evaluated because their existence could distort the data and make it inaccurate. In order to determine if outliers exist the average and standard deviation must be calculated in order to calculate the Z score‚ which will show‚ wither or not outliers exist. In this instance to outliers where found present in the data set as all of the data fell within the +3‚-3 range‚ the largest positive outlier was
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reliabilities. 4. A product engineer has developed the following equation for the cost of a system component: C _ (10 P ) 2 ‚ where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of two identical components‚ both of which must operate for the system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places‚ what is the largest component probability that can be achieved?
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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 _____
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ARCHITECTURE The problems to estimate the cost of capital Before starting to describe the problems associated to the estimation of the cost of capital‚ it is extremely relevant to describe its meaning: according to Investopedia‚ it is “the cost of funds used for financing a business”. In order to carry out this process‚ the companies can only be financed through equity; only through debt; or using a “combination of debt and equity” - in this particular case it is a “overall cost of capital derived from
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Suppose we take a random sample of size 100 from a discrete distribution in this manner: A green die and a red die are thrown simultaneously 100 times and let Xi denote the sum of the spots on the two dice on the ith throw‚ i = 1‚ 2‚...100. Find the probability that the sample mean number of spots on the two dice is less than 7.5. n = 100 µ = 7 µ[pic] = 7 σ = 2.41 σ[pic] = 2.41 /[pic] |X |2 |3 |4
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STANDARD COSTS Setting a budget is never easy as it involves predicting the future and therefore uncertainty. The process is not about getting the budget absolutely right; it is about not getting it too wrong. This budget process may be applied to most revenue budgets that deal with income and costs‚ but there is also a requirement to produce a capital budget that covers the purchase‚ sale and replacement of fixed assets. There is normally an investment limit dictated by funding availability and
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Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is your conclusion? | | | A. Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to
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A 95% confidence interval estimate of the population mean sales price and population mean number of days to sell for Gulf View condominiums. Also‚ interpret the results. 5. A 95% confidence interval estimate of the population mean sales price and population mean number of days to sell for Gulf View condominiums. Also‚ interpret the results. Also‚ consider the following scenario and include your responses in your Report: 6. Assume the branch manager requested estimates of the mean selling price of
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Inferences for One Population Standard Deviation The Standard deviation is a measure of the variation (or spread) of a data set. For a variable x‚ the standard deviation of all possible observations for the entire population is called the population standard deviation or standard deviation of the variable x. It is denoted σx or‚ when no confusion will arise‚ simply σ. Suppose that we want to obtain information about a population standard deviation. If the population is small‚ we can often determine
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