Shapiro-Wilk Normality test

Technical Notes
Exploratory Analysis
The histogram, box darn and dot temporary hookup all show the info is slightly pay off reorient: the medial (1088.65) is slightly less than the beggarly (1102.59) and the skewness statisti is a fairly small positive value (0.58).

Checking Assumptions
The independence of the observations appears to be satisfied from the data description.
The Shapiro-Wilk Normality turn out shws strong establish gainst the hypothesis that the underlying 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 are slightly right skewed, because of the large essay size(n=152) our inference on the mean 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 data points lying close to the straight aura and the box plot of the transformed data looks symmetric with dickens outliers.
The numerical summary of the transformed data confirms that the transformed data are symmetric (mean=1 and median value=1).




A Shapiro-Wilk test on the transformed data provides no evidence against the transformed data having come fro a normal distribution (P-value=0.4286).

statistical Inference
We can estimate both the population mean and median incomes. The P-values from the t-tests are not sensible here:


Executive Summary
Our beguile 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 hold back a full essay, order it on our website: Orderessay



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