A hamburger chain sells large hamburgers. When we take a sample of 30 hamburgers and weigh them, we find that the mean is 0.48 pounds and the standard deviation is 0.1 pound. a. A technology input menu for calculating a confidence interval requires a sample size, a sample mean, and a sample standard deviation. State how you would fill in these numbers. b. Using the accompanying technology output, report the confidence interval in a carefully worded sentence. Click here to view the technology output. - - - - - a. Sample size: 30 Sample mean: 0.48 Standard deviation: 0.1 (Type an integer or a decimal. Do not round.) b. Choose the correct interpretation of the confidence interval below and fill in the answer boxes to complete your choice. (Round to four decimal places as needed. Use ascending order.) O A. We are 95% confident that the population mean is between and O B. We are 95% confident that the recorded sample mean is between and O C. There is a 95% probability that the recorded sample mean is between and O D. There is a 95% probability that the population mean is between andTechnology output One-Sample T N Mean StDev SE Mean 95% CI 30 0.48 0. 1000 0.0183 (0.4427, 0.5173)