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.

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0.158 0.11 .184 0.207 0.224 0.237 0.248 0.249 0,2 D.263 0271 0275 0.295 0.301 0.321 0.337 Click here lo viw the talble af aritical valU Click here to view page 1 of tne slandard rormal distrbuion table Using lhe cor tlangn coe aen ofthe "omal protauilty plo: s it reasunable D ten ude lha the uouulaian Raun to three deirnal places as neded.) nommally unstribuied? Select lhe correct ㎝미ce bekw and Il in the answer boxes within your choce. A. Yrs. The carrelatibetwren the Expected z scor and tha atserved data, No. The coTeletionbeen the expected 2-s00res anc the observed cate. No. The corelation becween the expeced 2-sc0res and the observed dala. Ye. The correlation batween the expacted z-scores and the observed deta, axcceds the aitica value coes not exed the crttical velue, coes nol exceed the crilicl vaue, Therefore, it israsnable to nude that he data arme from a nammal populatian Tnerefore, is rot reasonsbie to concluce that the date come from a normal populetion. Tnerefore, in is resonable to condlude thal the dsta come from s normsl populstion axceeds the cntical value. Theretore, It is not reBsonle toconclude ther tha data come from a normal population. Table of crtical valuee Sample Size, n Critical Value 0.880 .888 1.888 0.906 0.912 Sample Size, n Critical Value 0.9 0.944 1.346 0.929 0.951 0.952 1,354 0.958 0.957 0.959 ,Si) 20 21 0.928 0.932 .935 23 24 25 Print Done

Answer 1

Rank	Proportion	Z score	Data
1	0.058824	-1.56473	0.158
2	0.117647	-1.18683	0.191
3	0.176471	-0.9289	0.194
4	0.235294	-0.72152	0.207
5	0.294118	-0.5414	0.224
6	0.352941	-0.37739	0.237
7	0.411765	-0.22301	0.246
8	0.470588	-0.07379	0.249
9	0.529412	0.073791	0.258
10	0.588235	0.223008	0.263
11	0.647059	0.377392	0.271
12	0.705882	0.541395	0.275
13	0.764706	0.721522	0.295
14	0.823529	0.928899	0.301
15	0.882353	1.186831	0.321
16	0.941176	1.564726	0.337

correlation between z-score and observed data=                   0.996 [excel formula =correl(range of z score , range of data)

critical correlation value for n=16 is 0.941          

observed correlation > critical correlation, so answer is

Yes ,

option A , 0.996,0.941