A study was conducted on the reaction time of female subjects over the age of 50

Question

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

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 .

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 .

this interval contains the sample mean with probability 0.99.

Explanation / Answer

From the defintion of confidence interval following option is correct:

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 .

That is 99% confidence intervals means we are 99% confident that for a repeated sampling if we make confidence intervals then 99% of confidence intervals contain true parameter.

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