3. Construct a 90% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0. I: 5l1Y|x=0 Si: (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) b. Construct a 90% prediction interval of the tear rating for an individual bag of coffee when the plate gap is 0. i:5YX=05 :| (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) c. Why is the interval in (a) narrower than the interval in (b)? O A. Since the mean is smaller than the single predicted observation, the condence interval is narrower than the prediction interval. 0 B. Since the single predicted observation is larger than the mean, the condence interval is narrower than the prediction interval. 0 c. Since there is more variation in estimating a mean value than in predicting an individual value, the condence interval is narrower than the prediction interval. D. Since there is more variation in predicting an individual value than in estimating a mean value, the condence interval is narrower than the prediction interval. When survey data indicated that a coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bagsealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the bag-sealing equipment was used to predict the tear rating of a bag. Complete parts (a) through (c). \f