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.		0.1640.164	0.1850.185	0.2030.203	0.2070.207
		0.2180.218	0.2240.224	0.2410.241	0.2480.248
		0.2580.258	0.2680.268	0.2650.265	0.2820.282
		0.2850.285	0.2950.295	0.3090.309	0.3330.333

Click here to view the table of critical values.

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Click here to view page 1 of the standard normal distribution table.

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Click here to view page 2 of the standard normal distribution table.

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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.

YesYes.

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

nothing ?,

exceedsexceeds

the critical? value,

nothing .

?Therefore, it is

reasonablereasonable

to conclude that the data come from a normal population.

B.

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

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

From the given data

H0: The Sample date is not follows Normal distribution

H1: The sample data is follows Normal distribution

correlation critical values is 0.497 at 5% los in two tail

As per conclusion : Reject H0 so the sample data is follows normal distribuiton

Correct answer: A. Yes.

The correlation between the expected and z-scores and the observed data is exceeds the critical value,

Therefore, it isreasonable to conclude that the data come from a normal population.