The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. the standard deviation of active concentration is known to be 3 grams per liter, regardless of the catalyst type. ten observations on concentration are taken with each catalyst, and the data follow:
catalyst 1: 57.5, 66.4, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
catalyst 2: 67.0, 72.4, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8
(a) find a 95% two-sided confidence interval on the difference in mean active concentrations for the two catalysts. find the p-value.

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct,correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)