A simple random sample of size is drawn. The sample mean, , is found to be 18.4, and the sample standard deviation, , is found to be 4.5. (a) Construct a 95% confidence interval for if the sample size, , is 35. (b) Construct a 95% confidence interval for if the sample size, , is 41. How does increasing the sample size affect the margin of error, ? (c) Construct a 99% confidence interval for if the sample size, , is 35. How does increasing the level of confidence affect the margin of error, ? (d) If the sample size is = 15, what conditions must be satisfied to compute the confidence interval