APFIVE Interpreting a Confidence Interval for a Mean
Which of the following correctly interprets a 95% confidence interval of $$ (25.91,\;28.49) $$ for the true mean gas mileage obtained from a sample of 10 cars?
| Sample Size | Mean MPG | Standard Deviation (mpg) |
|---|---|---|
| 10 | 27.2 | 1.8 |
A
There is a 95% probability that in repeated sampling, 95% of the individual cars will have a mileage between $$25.91$$ and $$28.49$$ mpg.
B
Exactly 95% of all cars in the population are expected to have a gas mileage within the interval $$25.91$$ to $$28.49$$ mpg.
C
We are 95% confident that the true mean gas mileage of all new model cars lies between $$25.91$$ and $$28.49$$ miles per gallon.
D
There is a 95% chance that the observed sample mean falls between $$25.91$$ and $$28.49$$ mpg.
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