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n200080 [17]
3 years ago
6

A sample of human brain volumes ​(cm3​) is given below. Use the given data values to identify the corresponding z scores that ar

e 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.
1061 1042 1435 1086 1070 1046
Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

Answer:

Step-by-step 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.)

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