A teacher wants to estimate the mean time (in minutes) that students take to go from one classroom to the next. His research assistant uses the sample time of 39 students to report the confidence interval as [8.48, 9.52].
Confidence interval in terms of sample mean and margin of error E is expressed as
( - E , + E)
Comparing this confidence interval with (8.48 , 9.52 ) we get
- E = 8.48 and + E = 9.52
Adding these two equations,
- E + + E = 8.48 + 9.52
2 = 18
= 9
Mean = 9 minutes
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