The mean and standard deviation of a random sample of n measurements are equal to 33.1 and 3.6, respectively. a. Find a 95% confidence interval for u if n = 100. b. Find a 95% confidence interval for μ if n = 400. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 95% confidence interval for μ if n = 100 is approximately (Round to three decimal places as needed.) b. The 95% confidence interval μ if n = 400 is approximately - (Round to three decimal places as needed.) C... c. Choose the correct answer below. OA. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4. OB. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 4. OC. Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval. OD. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2. OE. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.

Assume that a sample is used to estimate a population mean u. Find the 98% confidence interval for a sample of size 50 with a mean of 23.2 and a standard deviation of 15.1. Enter your answer as an open- interval (i.e., parentheses) accurate to 3 decimal places. 98% C.I.

The mean and standard deviation of a random sample of n measurements are equal to 34.4 and 3.6​, respectively.   a. Find a 90​% confidence interval for μ if n=64. b. Find a 90​% confidence interval for μ if n=256. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 19.1, and the sample standard deviation, s, is found to be 4.9. (a) Construct a 96% confidence interval about u if the sample size, n, is 39. (b) Construct a 96% confidence interval about u if the sample size, n, is 68. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about u if the sample size, n, is 39. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 14, what conditions must be satisfied to compute the confidence interval? (a) Construct a 96% confidence interval about u if the sample size, n, is 39. Lower bound: Upper bound: (Round to two decimal places as needed.) (b) Construct a 96% confidence interval about u if the sample size, n, is 68. Lower bound: Upper bound: (Round to two decimal places as needed.) How does increasing the sample…