Interpreting a Confidence Interval for Difference of Means
A 95% confidence interval for the difference in the mean weekly study time between first-year and fourth-year college students (first-year minus fourth-year) is (1.2, 4.8) hours. Which of the following is the correct interpretation of this interval?
There is a 95% chance that the average first-year student studies between 1.2 and 4.8 hours more per week than the average fourth-year student.
We are 95% confident that first-year students in the population represented by our sample study, on average, 1.2 to 4.8 hours more per week than fourth-year students in their respective population.
We are 95% confident that all first-year students study between 1.2 and 4.8 hours more per week than all fourth-year students.
95% of first-year students study between 1.2 and 4.8 hours more per week than fourth-year students.
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