Answer:
Explanation:
We have A sample of human brain volumes (cm3) is obtained from those listed in Data Set 6: 1272, 1051, 1079, 1034, 1070, 1173, 1079, 1067.
We need to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution.
The given data in Ascending order
1034 1051 1067 1070 1079 1079 1173 1272
Manual Construction of a Normal Quantile Plot:
First sort the data by arranging the values in order from lowest to highest.
With a sample of size n, each value represents a proportion of 1/n of the sample. Using the known sample size n, identify the areas of 1/2n, 3/2n, 5/2n, 7/2n, and so on. These are the cumulative areas to the left of the corresponding sample values.
Use the standard normal distribution to find the z scores corresponding to the cumulative left areas found in (These are the z scores that are expected from a normally distributed sample.)