Show all work. No work = no credit. The only exceptions to this are values obtained using 1-Var stats or LinReg(ax+b) or critical values from the t-table. If using normalcdf or tcdf, show all inputs. Show formulas where appropriate (outlier boundaries, margins of error, bounds of confidence intervals, test statistic). Round test statistics to 2 decimal places and p-values to 4 decimal places.

1. In question #1, part (f) should refer to the result of part (e), not part (b). In the hypothesis test, use alpha = .05.

Q1 (27 points) 1. A manufacturer of bottled juice has an assembly line on which bottles are filled. 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 3. 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.) c. 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.)