Question

A sample of human brain volumes is given below. Use the given data values to determine if the sample form a population what is normally distributed (round the final answer to two decimal places).

1131 1131 1254 1089 1065 1016 1068 1199

Please show work thank you.

Answer 1

SOLUTION:

From given data,

A sample of human brain volumes is given below. Use the given data values to determine if the sample form a population what is normally distributed (round the final answer to two decimal places).

1131

1131

1254

1089

1065

1016

1068

1199

We have the total number of samples are 8 i.e., n =8

let us consider the rank as ' i '

rank (i)	(i-0.5) / n	z-score (from z score table)	data
1	0.0625	-1.53	1131
2	0.1875	-0.89	1131
3	0.3125	-0.49	1254
4	0.4375	-0.16	1089
5	0.5625	0.16	1065
6	0.6875	0.49	1016
7	0.8125	0.89	1068
8	0.9375	1.53	1199

The normally distributed (rounded the final answer to two decimal places).

data	-1.53	-0.89	-0.49	-0.16	0.16	0.49	0.89	1.53
normally distributed	1131	1131	1254	1089	1065	1016	1068	1199

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