A study was conducted on the reaction time of female subjects over the age of 50 to a particular light stimulus using a specific type of red light.A random sample of 45 female subjects from this age group in the population was selected and the subject's reaction time (in seconds) determined.Based on the test data,the 99% confidence interval estimate for  was determined to be (0.66,0.78) .From this interval we can conclude that

A) this interval contains the sample mean with probability 0.99.
B) this interval has a probability of 0.99 of enclosing the true mean .
C) this interval,in the long run,will contain the true mean  99% of the time.
D) we have 99% confidence in this interval because,in repeated sampling from the population,the method used to determine such confidence intervals will produce intervals 99% of which will contain .
E) we have 99% confidence that this interval contains  because,if we repeated testing over and over again,99% of the time this interval will contain .

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Shelby Smith · Accepted Answer

Final Answer : D, Explanation :  The correct interpretation of a 99% confidence interval is that in repeated sampling from the population, the method used to determine such confidence intervals will produce intervals 99% of which will contain the true mean. This does not imply a probability of the true mean being in any given interval, but rather a long-term frequency of intervals containing the true mean if the procedure were repeated many times.

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