In a sample of n = 16 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioactive element, cesium-137, that was present to be 0.009 and 0.005 microcurie per milliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean p to within 0.001 microcurie per milliliter of its true value, using a 95% confidence interval. Complete parts a through c. a. What is the confidence level desired by the researchers? The confidence level is b. What is the sampling error desired by the researchers? The sampling error is c. Compute the sample size necessary to obtain the desired estimate. The sample size is . (Type a whole number.)Researchers at a university designed and tested a speedtraining program for junior varsity and varsity high school football players. Each in a sample of 38 high school athletes was timed in a 40-yard spn'nt prior to the start of the training program and timed again after completing the program. The decreases in times {measured in seconds} are listed in the accompanying table. [Note: Anegative decrease implies that the athlete's time after completion of the program was higher than his time prior to training] The goal of the research is to demonstrate that the training program is eective in improving 40yard sprint times. Use these data to complete parts a and b below. Click the icon to view the data on the decreases in dillyard sprint times. a. Find a 99% condence interval for the tnie mean decrease in spn'nt times for the population of all football players who participate in the speedtraining program. EDD} Round to three decimal places as needed.) b. Based on the condence interval, is the training program really effective in improving the mean 40yard sprint time of high school football players? Explain. Since the value of D IE contained in the condence interval, there IE evidence to suggest that the training program is effective. X Resear Decreases in 40-yard Sprint Times football training listed in program - 0.04 0.13 0.07 0.21 0.23 0.05 0.26 0.27 0.19 program 0.11 0.29 0.34 0.31 0.11 0.01 0.02 0.01 0.18 - 0.04 0.22 0.13 0.27 0.03 0.14 0. 18 0.09 0.07 0.46 0.32 0.13 0.01 0.93 0.38 0.36 0.42 0.09 - 0.03 - 0.03 a. Find who pa Print Done (Round b. Based on the confidence interval, is the training program really effective in improving the mean 40-yard sprint time of high school football players? Explain. Since the value of contained in the confidence interval, there evidence to suggest that the training program is effective. is is not