Question

Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.)

A. Yes. The correlation between the expected z-scores and the observed data, _______ , exceeds the critical value, _______ . Therefore, it is not reasonable to conclude that the data come from a normal population.

B. Yes. The correlation between the expected z-scores and the observed data, _______ , exceeds the critical value, _______ . Therefore, it is reasonable to conclude that the data come from a normal population.

c. No. The correlation between the expected z-scores and the observed data, _______ , does not exceed the critical value, _______ . Therefore, it is reasonable to conclude that the data come from a normal population.

D. No. The correlation between the expected z-scores and the observed data, _______ . does not exceed the critical value, _______ . Therefore, it is not reasonable to conclude that the data come from a normal population.

Answer 1

Rank	Proportion	Z score	Data
1	0.0588	-1.5647	0.161
2	0.1176	-1.1868	0.192
3	0.1765	-0.9289	0.207
4	0.2353	-0.7215	0.216
5	0.2941	-0.5414	0.225
6	0.3529	-0.3774	0.232
7	0.4118	-0.2230	0.237
8	0.4706	-0.0738	0.243
9	0.5294	0.0738	0.259
10	0.5882	0.2230	0.265
11	0.6471	0.3774	0.269
12	0.7059	0.5414	0.285
13	0.7647	0.7215	0.293
14	0.8235	0.9289	0.307
15	0.8824	1.1868	0.313
16	0.9412	1.5647	0.332

correlation between z-score and observed data=                   0.997
                  
critical correlation value for n=16 is 0.941                  
                  
CORRELATION >CRITICAL VALUE=0.941 ,So

yes, the correlation between expected z score and observed data, 0.997, exceed the critical value 0.941,
therefore, it is reasonable to conclude that data come from a normal population.