Shapiro-Wilk Normality test

Technical Notes Exploratory Analysis The histogram, box darn and distributor point temporary hookup all show the info is pretty pay off reorient: the medial (1088.65) is tenuously slight than the beggarly (1102.59) and the skewness statisti is a fairly small ordained value (0.58). Checking Assumptions The independence of the observations appears to be satisfied from the data description. The Shapiro-Wilk normalcy 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 think of is valid, by the Central shape Therom. The Box be 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 data points cunning close to the straight aura and the box plot of the modify data looks symmetric with dickens outliers. The numerical summary of the transform data confirms that the modify data are symmetric (mean=1 and normal value=1).

A Shapiro-Wilk test on the transformed data provides no evidence against the transformed data having have intercourse fro a normal distribution (P-value=0.4286). statistical Inference We plunder estimate both the population mean and median incomes. The P-values from the t-tests are not sensible here: Executive Summary Our catch in these data was to estimate both the mean and median lifetim! e (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 chasten back a full essay, order it on our website: OrderCustomPaper.com

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