Question 13 4 pt State whether below statement is either a True or a False state

Question

Question 13 4 pt State whether below statement is either a True or a False statement If it is false explain why. Please note that you can say something is true if it's always true Suppose we are doing below hypothesis test for a certain population. A random sample of size 35 from this population resulted in 95% confidence interval for ?, which is (10.15). If we repeatedly take random samples of size 35 from this population and calculate a 95% confidence interval for each of those samples, about 95% of the samples would capture 11.

Explanation / Answer

As per the interpretation of Confidence Interval, if repeated samples are taken and 95% confidence interval of each sample is calculated, 95% of the interval would contain the population mean.

Now in this case, population mean is 11 (as per hypothesis)

The statement that "If we repeatedly take random sample of size 35 from this population and calculate a 95% confidence interval for each of those samples, about 95% of the sample would capture 11." is same as per the above interpretation of CI.

So answer is True.

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