# Normal distribution

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Discussion: The distribution of each graph is quite comparable as they have similar means and standard deviation, where the preferred hand has a mean of 16.33 and a standard deviation of 2.842 whilst the non-preferred hand has a mean of 17.2 and standard deviation of 2.848. The normal distribution graph of each can be seen below: Preferred Hand vs. Non-preferred Hand: The graphs and boxplots (Figures 1.3- 1.6) seen previously in the results indicate that the two results did not have a normal distribution curve as the results were symmetrical, as in both cases the results aren’t perfectly symmetrical, however the data of the non-preferred hand shows indications of being symmetrical. Hence the non-preferred hand results are closer to having…

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parametric and nonparametric analyses of variance referred to as ANOVA by sum of squares or ANOVA by rank, respectively (Figure 2). Pearson product moment correlation coefficient It can be used to measure the intensity of association between variables. The data must be normally distributed. It defines both the strength and direction of the linear relationship between two variables. It does not imply causation. Regression analysis Regression quantifies the numerical relationship between 2…

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the hypotheses and assumptions of one to five using regression analysis and using software Spss18 and then fourth hypothesis using structural equation modeling (Path Analysis) using software Amos22 to confirm or refute the hypothesis of the research study. Hypotheses: 1. Empowerment dimension effect on turnover intention. 2. Interoperability dimensions have an effect on turnover intention. 3. Empowering (General) effect on turnover intention. 4. Interoperability (total) effect on turnover…

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We must assume either that each student is independent of each other or that any dependence is minimal in perspective. The population of high school seniors in upstate New York is presumable ten times greater then the sample size of 500 people. We are told in the problem statement that the students were selected at random. Students answers mattered only as a success or failure in whether they planned to attend college or not. In addition, n p̂ >10 at 26 people and n q̂ >10 at 474…

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Based on equation 1.1, 1.2 and the methodology proposed by Baumol, with a certain confidence level c, we can work out the VaR by, rVaR=-W_0 (R^*-μ) Equation 1.3 Rearrange equation 1.3 from the standardized variable we can get rVaR=W_0 ασ Equation 1.3.1 I-2 Research Question The general idea of VaR model can be shown by equation 1.3.1. However, there is an assumption for financial institutions to process which is known as time aggregation associate with σ in…

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* dWv(t) = ρdt. For computational convenient, it is general to employee logarithm to transform the asset price process S(t) into X(t) = Log (S(t)), and apply Itô’s Lemma(3) to equations (1). (3) We can get following stochastic differential equations: (4) (5) Where the parameters are defined after (1), (2) equations. The conditional transition distribution (V(t2)|V(t1)) is a non-central chi-square distribution(Andersen 2007). Let Fχ2(z; ν, λ) be the cdf of the distribution, where λ represents…

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line workers. A random sample of 71 production line employees were chosen for the survey and the test data results were collected accordingly. The resulting data also includes whether each employee in the sample took a statistics course or not. Ace would like to examine this data in order to prepare analysis report to the management team. Statistical Results 1. In this study of test scores and took statistics course, each variable in the sample data is characterized by creating a histogram and…

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------------------------------------------------- A life insurance company wants to estimate their annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. What proportion of the plan recipients would receive payments beyond age 74? Round your result to four significant places after the decimal. 4. ------------------------------------------------- The…

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105 0 10 8.05 2.322 -1.177 .236 .805 .467 Valid N (listwise) 105 The descriptive statistics of the mean and standard deviation interpret that there is a negative skewness and a positive kurtosis. Tests of Normality Kolmogorov-Smirnova Shapiro-Wilk Statistic df Sig. Statistic df Sig. quiz3 .221 105 .000 .818 105 .000 a. Lilliefors Significance Correction The Shapiro –Wilk tests shows a p-value of .000 therefore we can round up to .001 and accept that the data comes from a normal…

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The reason the values must be squared is to evaluate scores that may above or below the mean. If the variance is low, participants scored similarly on the quiz. If the variance is high, this demonstrates a high gap in scores and performance. Population standard deviation = 2.04785. The standard deviation builds on the variance by calculating the square root of the variance. The significance of the standard deviation is that it can estimate where the majority of data will be located,…

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