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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): 3.2Picture 3.3Picture 3.0Picture 4.3Picture 3.7Picture 3.6Picture 4.2Picture 3.5Picture 3.1Picture 3.9Picture 3.6Picture and 3.3. 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?
A. Do not reject null hypothesis if computed t is less than 2.718
B. Reject null hypothesis if computed z is 1.227 or larger
C. Reject null hypothesis if computed t is less than 2.593
D. Do not reject null hypothesis if computed t is less than 2.491
If our decision in a hypothesis test is to fail to reject the null hypothesis, then do we know that the null hypothesis must be true?
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