Inside the Box Corporation makes corrugated cardboard boxes. The specification of One type of these boxes states that the breaking capacity of this box is 75 pounds. A sample of 57 randomly selected...

Extracted text: Inside the Box Corporation makes corrugated cardboard boxes. The specification of One type of these boxes states that the breaking capacity of this box is 75 pounds. A sample of 57 randomly selected such boxes were loaded until they broke. The average breaking capacity of these boxes was found to be 78.52 pounds. Suppose that the standard deviation of the breaking capacities of all such boxes is 2.59 pounds. Calculate a 95 % confidence interval for the average breaking capacity of all boxes of this type. a. The confidence interval is b. What do you think of the 75 pounds breaking capacity specification given your answer above? Note 1: Your confidence interval should be given in the format of (a, b) where a and b are two numbers. Note 2: Keep 2 decimal places in your answer for the confidence interval