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Hi there, I kinda struggling with the definition of Interpreting Confidence Intervals For example, the question below I was not sure the differences with 1,2,3,4,5

Hi there, I kinda struggling with the definition of Interpreting Confidence Intervals

For example, the question below I was not sure the differences with 1,2,3,4,5

Using a sample of 96,489 college students, we find a 95% confidence interval for the mean score on loneliness scale to be 1.86 to 9.38. Which of the following is a correct interpretation of this interval?

  1. I am 95% sure that loneliness scores of all college students will be between 1.86 and 9.38.
  2. 95% of loneliness scores of all college students will be between 1.86 and 9.38.
  3. I am 95% sure that the mean loneliness score of college students for this sample will be between 1.86 and 9.38.
  4. I am 95% sure that the mean loneliness score of all college students in the US will be between 1.86 and 9.38.
  5. I am 95% sure that the confidence interval for the mean loneliness score of college students will be between 1.86 and 9.38.

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