samples which is tabulated below: Descriptive Statistics | Current | Proposed | Mean | 75.06557 | 75.42623 | Standard Error | 0.505094 | 0.32091 | Median | 76 | 76 | Mode | 76 | 76 | Standard Deviation | 3.944907 | 2.506385 | Sample Variance | 15.5623 | 6.281967 | Kurtosis | -0.06933 | 0.58694 | Skewness | -0.22053 | -0.28749 | Range | 19 | 13 | Minimum | 65 | 69 | Maximum | 84 | 82 | Sum | 4579 | 4601 | Count | 61 | 61 | Analysis of descriptive statistics shows that
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Chapter 14 Factor analysis 14.1 INTRODUCTION Factor analysis is a method for investigating whether a number of variables of interest Y1 ‚ Y2 ‚ : : :‚ Yl‚ are linearly related to a smaller number of unobservable factors F1‚ F2‚ : : :‚ Fk . The fact that the factors are not observable disquali¯es regression and other methods previously examined. We shall see‚ however‚ that under certain conditions the hypothesized factor model has certain implications‚ and these implications in turn
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revenues‚ why is their bottom line less than half of what they had budgeted? Variance Analysis Report In order to perform a variance analysis report Jenkins calculated the actual revenues and expenses and found the difference which was $296‚610 in profits. Then Jenkins did the same with budgeted values and found the budgeted profits to be $606‚350. The variance amount in turn is $309‚960 under budget. Also‚ the variance amount for revenues is $32‚100. This number is favorable due to the fact that
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to polar coordinate Thus Mean By symmetry if g(x) is odd function g-x=-g(x) then -abgxdx=0 Variance Notation CDF is standard Normal CDF by symmetric ‚CDF ‚ ‚ All the odd moment of standard normal are zero. However‚ even moment is not easy to calculate by integral (Symmetry) Then we say Most of Statistics books will write the pdf then explain the mean and variance but it is not intuitive. Standardization Find PDF of CDF: The PDF is derivative of the CDF
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the resulting variances will be assigned to the cost of goods sold. If the variances are significant‚ they should be prorated to the cost of goods sold and to the inventories. Standard costing and the related variances is a valuable management tool. If a variance arises‚ management becomes aware that manufacturing costs have differed from the standard (planned‚ expected) costs. * If actual costs are greater than standard costs the variance is unfavorable. An unfavorable variance tells management
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MULTIPLE CHOICE QUESTIONS In the following multiple choice questions‚ circle the correct answer. 1. Which of the following provides a measure of central location for the data? a. standard deviation b. mean c. variance d. range Answer: b 2. A numerical value used as a summary measure for a sample‚ such as sample mean‚ is known as a a. population parameter b. sample parameter c. sample statistic d. population mean Answer: c 3. Since
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assignment you turn in needs to be your own work. 1. Suppose . That is‚ X has a normal distribution with μ=30 and σ2=144. 1a. Find a transformation of that will give it a mean of zero and a variance of one (ie.‚ standardize ). 1b. Find the probability that . 1c. Supposing 5X‚ find the mean of . 1d. Find the variance of . 2. A bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. The bank prides itself on its mortgage application
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a lot higher than promised in the budget. The following cost formulas were used to construct the planning budget: Required: 1. Prepare a new performance report for September using the fl exible budget approach. 2. Do you think any of the variances in the report you prepared should be investigated? Why? 1. Performance should be evaluated using a flexible budget performance report. In this case‚ the report will not include revenues (shown in East Caribbean dollars). St. Lucia Blood Bank
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has the mean vector and variancecovariance matrix given below: Asset Mean VarianceCovariance Matrix 1 2 3 0.06 0.12 0.03 1 0.3 0.3 0.3 1 0.3 0.3 0.3 1 Weights Ones Mean Portfolio Return 1 1 1 0.176666122 Portfolio Portfolio Portfolio Variance STD Constraint 2.42961 1.558721 1 0.079372 1.603166 -0.68254 To model the portfolio choice problem‚ I begin by highlighting the mean vector and giving it a name. To do this‚ left-click on cell c9 and drag down until cell c11 and then release
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)2 / N ] * Population variance = σ2 = Σ ( Xi - μ )2 / N * Variance of population proportion = σP2 = PQ / n * Standardized score = Z = (X - μ) / σ * Population correlation coefficient = ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) / σy ] } Statistics Unless otherwise noted‚ these formulas assume simple random sampling. * Sample mean = x = ( Σ xi ) / n * Sample standard deviation = s = sqrt [ Σ ( xi - x )2 / ( n - 1 ) ] * Sample variance = s2 = Σ ( xi - x )2 / (
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