City officials in Sacramento conducted a survey to study commute times. The commute times (in minutes) of a random sample of Sacramento residents is shown below. Click on the data button below to open the data in a new window. Data a. Construct a 93% confidence interval for the mean commute time of Sacramento residents. Critical value: zx or tx = 1.812 x (Enter the positive one.) Margin of Error: E = Confidence Interval: a. Interpret your result in part (a) in a complete sentence. a. Based on the confidence interval, can you conclude that the mean commute time of Sacramento residents is less than 45 minutes? Yes No a. If the confidence level were 99% rather than 93%, would the margin of error be larger or smaller than the result in part (a)? Larger Smaller Sacramento Data (Sample Size = 45) Commute Time (minutes) 44.2 46.3 46.7 33.4 50.2 40.4 41.9 48.4 54.3 47.9 45.3 41.5 52.1 45.1 48.2 43.2 36.2 64.2 44.5 49.9 31.7 42.6 48.7 50.6 35.7 50.7 32 65.8 27.2 42.9 50.2 36.9 55.9 40.8 46 42.1 49.6 40 55.2 28.7 42.2 50.7 35.2 40.9 48.4