A consumer products company 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. At the 0.01 level of significance, what is the decision rule to test if
the new design increased the absorption of the sponge?
A. Reject the null hypothesis if computed t is less than 2.580.
B. Reject the null hypothesis if computed t is greater than 2.821.
C. Reject the null hypothesis if computed z is 1.96 or larger.
D. Reject the null hypothesis if computed t is less than 2.764.
The National Center for Health Statistics reported that of every 883 deaths in recent
years, 24 resulted from an automobile accident, 182 from cancer, and 333 from heart
disease. What is the probability that a particular death is due to an automobile accident?
A. 24/883 or 0.027
B. 539/883 or 0.610
C. 24/333 or 0.072
D. 182/883 or 0.206