Question

Suppose a sample of​ O-rings was obtained and the wall thickness​ (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed.		0.1570.157	0.1920.192	0.2040.204	0.2090.209
		0.2190.219	0.2330.233	0.2360.236	0.2490.249
		0.2600.260	0.2590.259	0.2740.274	0.2780.278
		0.2950.295	0.2970.297	0.3080.308	0.3360.336

Click here to view the table of critical values.

LOADING...

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.

No

The correlation between the expected​ z-scores and the observed​ data,

nothing​,

does not exceeddoes not exceed

the critical​ value,

nothing.

​Therefore, it is

reasonablereasonable

to conclude that the data come from a normal population.

B.

YesYes.

The correlation between the expected​ z-scores and the observed​ data,

nothing​,

exceedsexceeds

the critical​ value,

0.9410.941.

​Therefore, it is

reasonablereasonable

to conclude that the data come from a normal population.

C.

NoNo.

The correlation between the expected​ z-scores and the observed​ data,

nothing​,

does not exceeddoes not exceed

the critical​ value,

nothing.

​Therefore, it is

not reasonablenot reasonable

to conclude that the data come from a normal population.

D.

YesYes.

The correlation between the expected​ z-scores and the observed​ data,

nothing​,

exceedsexceeds

the critical​ value,

nothing.

​Therefore, it is

not reasonablenot reasonable

to conclude that the data come from a normal population.

Answer 1

Yes. The correlation between the expected​ z-scores and the observed​ data, 0.996​, exceeds the critical​ value, 0.941. ​Therefore, it is reasonable to conclude that the data come from a normal population.

x	i	fi	z
0.157	1	0.038462	-1.76883
0.192	2	0.1	-1.28155
0.204	3	0.161538	-0.98815
0.209	4	0.223077	-0.76184
0.219	5	0.284615	-0.56918
0.233	6	0.346154	-0.39573
0.236	7	0.407692	-0.23349
0.249	8	0.469231	-0.0772
0.26	9	0.530769	0.077204
0.259	10	0.592308	0.233485
0.274	11	0.653846	0.395725
0.278	12	0.715385	0.569185
0.295	13	0.776923	0.761843
0.297	14	0.838462	0.988155
0.308	15	0.9	1.281552
0.336	16	0.961538	1.768825
		r	0.996