Assume we observe a confidence interval at level 95% for the theoretical mean of a distribution, obtained from n realizations of an N(u,0) where o is euqal to 5 and assume this confidence interval is [3.6,8.9]. Which of the following statements are true? Veuillez choisir au moins une réponse:

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Assume we observe a confidence interval at level 95% for the theoretical mean of a distribution, obtained from n
realizations of an N(µ,0) where o is euqal to 5 and assume this confidence interval is [3.6,8.9]. Which of the following
statements are true?
Veuillez choisir au moins une réponse :
O a. Necessarily x =6.25.
O b. The probability that µ belongs to [3.6,8.9] is equal to 95%.
O c. The probability that u does not belong to [3.6,8.9] is equal to 5%.
O d. The interval [3.6,8.9] has 95% chance to belong to the set of confidence intervals that would contain u, 5%
chance to belong to the set of confidence intervals that do not contain u.
Transcribed Image Text:Assume we observe a confidence interval at level 95% for the theoretical mean of a distribution, obtained from n realizations of an N(µ,0) where o is euqal to 5 and assume this confidence interval is [3.6,8.9]. Which of the following statements are true? Veuillez choisir au moins une réponse : O a. Necessarily x =6.25. O b. The probability that µ belongs to [3.6,8.9] is equal to 95%. O c. The probability that u does not belong to [3.6,8.9] is equal to 5%. O d. The interval [3.6,8.9] has 95% chance to belong to the set of confidence intervals that would contain u, 5% chance to belong to the set of confidence intervals that do not contain u.
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