A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, , is found to be 35.1, and the sample standard deviation, s, is found to be 8.7. NOTE: Use your calculator to find the confidence intervals and round your answer to three decimal places. (a) Construct a 90% confidence interval for u if the sample size, n, is 40. Answer: ( (b) Construct a 90% confidence interval for u if the sample size, n, is 100. μ Answer: How does increasing the sample size affect the margin of error, E? Answer: Increasing the sample size (c) Construct a 98% confidence interval for u if the sample size, n, is 40. Answer: ( (increases, decreases) the margin of error. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the margin of error, E? Answer: Increasing the level of confidence error. (increases, decreases) the margin of

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