A sample of human brain volumes (cm3) is given below. Use the given data values 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.

1061 1042 1435 1086 1070 1046

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

10341051 106710701079107911731272

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.)

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

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step-by-step explanation:

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