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

ID: 3219963 • Letter: A

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

this interval has a probability of 0.99 of enclosing the true mean . this interval contains the sample mean with probability 0.99. this interval, in the long run, will contain the true mean 99% of the time. 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 .

Explanation / Answer

Answer to the question)

The correct interpretation of the confidence interval is : If a sampling is done several times , 99% of the samples will contain the true population mean within this interval

thus the correct explanation is provided by: "we have 99% confidence that this interval contains M becausse , if we repeat testing over and over again , 99% of the time this interval will contain M"

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