A random sample of 16 undergraduate students receiving student loans was​obtained, and the amounts of their...

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Statistics

A random sample of 16 undergraduate students receiving studentloans was​obtained, and the amounts of their loans for the schoolyear were recorded. Use a normal probability plot to assess whetherthe sample data could have come from a population that is normallydistributed.

6,200
6,700
1,200
2,000
2,300
8,400
7,700
5,500
6,300
4,700
3,000
3,900
1,200
2,800
2,700
7,300

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 answerboxes within your choice.

A. No. The correlation between the expected​ z-scores and theobserved​ data, _____ does not exceed the critical ​value,_______.​Therefore, it is not reasonable to conclude that the datacome from a normal population.

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

C. Yes. The correlation between the expected​ z-scores and theobserved​ data, _______ exceeds the critical value _____.​Therefore, it is not reasonable to conclude that the data comefrom a normal population.

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

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