Question: 1. Suppose we are sampling from a population that is known to be normal with standard deviation ation = 10. However, the mean is unknown,

1. Suppose we are sampling from a population that is known to be normal with standard deviation ation = 10. However, the mean is unknown, so we'll have to estimate it. (a) A sample of N = 10 is drawn and is found to have mean X = 25. Compute a 95% confidence interval for . (b) A sample of N = 20 is drawn and is also found to have mean X = 25. Compute a 95% confidence interval for . (c) Based on your answers to (a) and (b), what happens to the width of the confidence interval as sample size increases?

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