Please use R Studio to answer the following questions (do not physically calculate, R studio has to be used. thank you!

(a) Find the value of Z1-a/2 for the 98% confidence level. 2.326 (b) The yearly yield of butter fat from a cow of a certain breed is assumed to be normally distributed with mean 220 kg and standard deviation 22 kg. i. What is the probability of that the yearly yield of butter fat from one randomly chosen such cow is at most 190 kg. ii. What is the probability of that the average yearly yield of butter fat from ten randomly chosen such cow is more than 195 kg. ili. What is the probability of that the average yearly yield of butter fat from twenty-five randomly chosen such cow is between 190 kg and 220 kg. (c) In an experiment the sorption was measured for a variety of hazardous organic ester solvents. The sample measurements were; 0.29, 0.06, 0.44, 0.61, 0.55, 0.43, 0.51, 0.10, 0.34, 9.53, 0.06, 0.09. 0.17, 0.60, 0.17 Assuming that measurements are normally distributed. i. What is the mean for the sample of sorption of ester solvents. ii. What is the standard error of the mean for the sample for the sorption of ester solvent? iii. What the margin of error of the 90% confidence intervals for the population mean of sorption of cster solvents. iv. What is the upper limit for the 90% confidence intervals for the population mean of sorption of ester solvents. Co