l. A manufacturer of bottled juice has an assembly line on which bottles are lled. A random sample of 32 bottles has volumes of the following amounts, in ounces: 63.97, 63.99, 64.00, 64.00, 64.01, 64.01, 64.01, 64.01, 64.03, 64.03, 64.03, 64.04, 64.04, 64.05, 64.05, 64.06, 64.07, 64.07, 64.07, 64.07, 64.08, 64.08, 64.09, 64.10, 64.11, 64.11, 64.11, 64.12, 64.13, 64.14, 64.16, 64.17 a. Compute the 5-number summary for the data. (5 pts.) b. Compute the IQR and the upper and lower outlier boundaries. Does the data have any outliers? If so, list them. (8 pts.) 0. Construct a boxplot to represent the data. Be sure to show a labeled scale with even markings. Use a ruler or graph paper. Describe the shape of the boxplot. (10 pts.) d. Compute the sample mean and sample standard deviation of the volumes in the sampled bottles. Round to 4 decimal places. (4 pts.) e. Construct a 95% condence interval for the mean volume of juice in bottles on this assembly line. Show all steps in the computation of the error and the interval endpoints. Round to 4 decimal places. (8 pts.) f. The goal is to have a population mean volume of at least 64.05 ounces, so that there is little chance of the bottles containing less than the labeled volume of 64 ounces. Based on the interval you constructed in part (b), is it likely that the true population mean is 64.05 ounces or more? Explain. (5 pts.) g. Carry out a hypothesis test to determine whether the population mean is greater than 64.05. Show all 5 steps, as outlined in class. (20 pts.)