Exercise 8-16 Algo Find ta, of from the following information. (You may find it useful to reference the ttable. Round your answers to 3 decimal places.) ta,df a. a = 0.010 and of = 16 b. a = 0.05 and f = 16 C. a = 0.010 and of = 30 a = 0.05 and df = 30Exercise 8-3 Algo A simple random sample of 22 observations is derived from a normally distributed population with a population standard deviation of 5.4. (You may find it useful to reference the z table.) a. Is the condition that x is normally distributed satisfied? Yes ONo b. Compute the margin of error with 99% confidence. (Round final answer to 2 decimal places.) Margin of error c. Compute the margin of error with 95% confidence. (Round final answer to 2 decimal places.) Margin of errorSample standard deviation b. Construct the 95% confidence interval for the population mean. (Round final answer to 2 decimal places.) Confidence interval to c. Construct the 99% confidence interval for the population mean. (Round final answer to 2 decimal places.) Confidence interval to d. What happens to the margin of error as the confidence level increases from 95% to 99%? O As the confidence level increases, the margin of error becomes larger. O As the confidence level increases, the margin of error becomes smaller.Exercise 8-20 Algo Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 16, 26, 20, 14, 23, 10, 12, 29. (You may find it useful to reference the t table.) a. Calculate the sample mean and the sample standard deviation. (Round sample mean to nearest whole number and sample standard deviation to 2 decimal places.) Sample mean Sample standard deviation b. Construct the 95% confidence interval for the population mean. (Round final answer to 2 decimal places.) Confidence interval to c. Construct the 99% confidence interval for the population mean. (Round final answer to 2 decimal places.) Confidence interval to