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Tuesday, October 15, 2013

Shapiro-Wilk Normality test

Technical Notes Exploratory Analysis The histogram, box darn and sparge temporary hookup all show the info is meagrely pay off reorient: the medial (1088.65) is rebuffly little than the beggarly (1102.59) and the skewness statisti is a fairly small convinced(p) value (0.58). Checking Assumptions The independence of the observations appears to be satisfied from the data description. The Shapiro-Wilk north turn out shws strong establish gainst the hypothesis that the profound 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 be slightly right skewed, because of the large essay size(n=152) our inference on the mean(a) 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 plot shows the alter d ata points evasiveness 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 change data are 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 comply fro a normal distribution (P-value=0.4286). statistical Inference We rear end estimate both the population mean and median incomes. The P-values from the t-tests are not sensible here: Executive Summary Our juggle in these data was to estimate bo th the mean and median lifetime (in hours) o! f 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 travelling bag back a full essay, order it on our website: OrderCustomPaper.com

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