Assume we have a sample of size n=16 from independent and identically distributed random variables from a normal distribution with mean u and unknwo standard deviation estimated by the sample standard deviation. We observe x =8 and s=4. We let e denote the length of the confidence interval with confidence level 1-a=95%. Which of the following statements are true? > qnorm (c(0.8,0.9,0.95,0.975,0.99,0.999)) [1] 0.8416212 1.2815516 1.6448536 1.9599640 2.3263479 3.0902323 > qt(c(0.8,0.9,0.95,0.975,0.99,0.999), df=15) [1] 0.866245 1.340606 1.753050 2.131450 2.602480 3.732834 Veuillez choisir au moins une réponse : а. The confidence interval equals [6.25,9.75]. O b. The confidence interval equals [5.87,10.13]. O c. The confidence interval equals [6.36,9.64]. O d. The confidence interval equals [6.04,9.96].

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Assume we have a sample of size n=16 from independent and identically distributed random variables from a normal
distribution with mean u and unknwo standard deviation estimated by the sample standard deviation. We observe x
=8 and s=4. We let e denote the length of the confidence interval with confidence level 1-a=95%. Which of the
following statements are true?
> qnorm(c (0.8,0.9,0.95,0.975,0.99,0.999))
[1] 0.8416212 1.2815516 1.6448536 1.9599640 2.3263479 3.0902323
> qt(c(0.8,0.9,0.95,0.975,0.99,0.999), df=15)
[1] 0.866245 1.340606 1.753050 2.131450 2.602480 3.732834
Veuillez choisir au moins une réponse:
O a.
The confidence interval equals [6.25,9.75].
O b. The confidence interval equals [5.87,10.13].
The confidence interval equals [6.36,9.64].
O c.
O d. The confidence interval equals [6.04,9.96].
Transcribed Image Text:Assume we have a sample of size n=16 from independent and identically distributed random variables from a normal distribution with mean u and unknwo standard deviation estimated by the sample standard deviation. We observe x =8 and s=4. We let e denote the length of the confidence interval with confidence level 1-a=95%. Which of the following statements are true? > qnorm(c (0.8,0.9,0.95,0.975,0.99,0.999)) [1] 0.8416212 1.2815516 1.6448536 1.9599640 2.3263479 3.0902323 > qt(c(0.8,0.9,0.95,0.975,0.99,0.999), df=15) [1] 0.866245 1.340606 1.753050 2.131450 2.602480 3.732834 Veuillez choisir au moins une réponse: O a. The confidence interval equals [6.25,9.75]. O b. The confidence interval equals [5.87,10.13]. The confidence interval equals [6.36,9.64]. O c. O d. The confidence interval equals [6.04,9.96].
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