4- Your Purchaser has been assigned to inspect boxes of potatoes for production.The potatoes should not be loaded into trucks unless the Confidence Interval Estimate of the weights of the potatoes indicates that they weigh, on average, in excess of 6.75 ounces.A sample of 85 potatoes taken from the farm indicates a Sample Mean (= 6.95 ounces) and a sample standard deviation (S_x= .35 ounces).-

a)Establish a 99% Level of Confidence for the Size of the Potatoes;

B)Should the potatoes to be loaded into trucks?

5-A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 4.5 ounces. After the redesign, the absorption amounts of a sample of 85 sponges were 4.2 ounces.What is the critical value for this test at the 0.01 level of significance to test?