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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. 1067 1075 1056 1022 1075 1443 959 1058 List the z scores for the normal quantile plot.

Respuesta :

Answer:

-0.20, -0.14, -0.28, -0.53, -0.14, 2.55, -0.99, -0.27

Step-by-step explanation:

mean of data:

[tex](1067+1075+1056+1022+1075+1443+959+1058)/8=1094.375[/tex]

s.d.[tex]^2=\frac{\sum (x_i-\mu)^2}{N}[/tex]

s.d.[tex]^2=\frac{(1067-1094.375)^2+...+(1058-1094.375)^2}{8}=18674.984375[/tex]

s.d.=[tex]136.66[/tex]

[tex]z=\frac{x_i-\mu}{\text{s.d.}}[/tex]

z scores:

-0.20, -0.14, -0.28, -0.53, -0.14, 2.55, -0.99, -0.27

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