Question

8. In the first experiment you construct 95% confidence interval based A sample size of 50...

8. In the first experiment you construct 95% confidence interval based A sample size of 50 and in the second experiment you construct a 95% confidence interval based on a sample size of 80 A) the probablity that the parameter of interest will be inside the second confidence interval is higher since the sample size is bigger True? False? Explain

B) the size of the second confidence interval is wider than the size of the first confidence interval True? False? Explain?

Increasing the sample size decreases the width of confidence intervals, because it decreases the standard error.

So , the width of confidence interval for sample size 50 is greater than the width of confidence interval for sample size 80.

So if the parameter lies on the second interval this implies it also lies on the first interval . As both are 95% confidence interval, this means 95% of all intervals produced by the procedure will contain their corresponding parameters.