Suppose a sample of statistics students (N = 30) has a distribution of grades with a mean of 70 and standard deviation of 15; the confidence interval is 68%, interpret the result.
What will be an ideal response?
Sixty-eight percent of grades fall between 67.26 and 72.74. There is a 68% probability of the mean for another sample falling within these bounds. We are 68% confident that the average student’s grade is between 67.26 and 72.74. (Note: Similar interpretations can be asked for the following confidence intervals. Only the percentages and bounds would alter according to the question/results.)
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