A manufacturer wants to increase the absorption capacity of

A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. What is the decision rule at the 0.01 level of significance to test if the new design increased the absorption amount of the sponge?

Do not reject null hypothesis if computed t is less than 2.580

Do not reject null hypothesis if computed t is less than 2.821

Reject null hypothesis if computed z is 1.96 or larger

Reject null hypothesis if computed t is less than 2.764

Solution