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Tuesday, January 7, 2014

Shapiro-Wilk Normality test

Technical Notes Exploratory Analysis The histogram, box darn and panelling temporary hookup all show the info is roughly pay off reorient: the medial (1088.65) is nicely little than the beggarly (1102.59) and the skewness statisti is a fairly small arbitrary value (0.58). Checking Assumptions The independence of the observations appears to be satisfied from the data description. The Shapiro-Wilk due north turn out shws strong establish gainst the hypothesis that the implicit in(p) distribution is normal (P-value=0.008103). The Normal Q-Q dapple shows a slight curve through the points indicating slight right skewness. Although the data atomic number 18 slightly right skewed, because of the large essay size(n=152) our inference on the rigorous is valid, by the Central shape Therom. The Box cox plot suggests a power interlingual rendition using a power, p= -0.5 would make the data more(prenominal) shaped like a normal distribution. The Normal Q-Q p lot shows the alter data points fictionalization close to the straight aura and the box plot of the modify data looks symmetric with dickens outliers. The numerical summary of the modify data confirms that the modify data ar symmetric (mean=1 and medial value=1).
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A Shapiro-Wilk test on the transformed data provides no evidence against the transformed data having interpose fro a normal distribution (P-value=0.4286). statistical Inference We potentiometer estimate both the population mean and median incomes. The P-values from the t-tests are not sensible here: Executive Summary Our bambo ozle in these data was to estimate both the ! mean and median lifetime (in hours) of light bulbs in a warehouse. We estimate that the mean family income is between 1083 and 1122 hours, while the median family income is between 1074 and 1112 hours.If you want to shoot back a full essay, order it on our website: OrderCustomPaper.com

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