A consumer products company wants to increase the absorption capacity of a spong

Question

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 at a sample of sponges were(n ounces) 41, 37, 33, 35, 34, 39, 36, 38, 41 and 39. At the 0.01 level of significance what is the decision rule to test if the new design increased the absorption of the sponge? Reject null hypothesis if corrupted t is less than 2.584 Reject null hypothesis if corrupted t is less than 2.821 Reject null hypothesis if corrupted x is 1.56 or larger Reject null hypothesis if corrupted t is less than 2.764

Explanation / Answer

The length of burning time was collected for a sample of 10 candles (time in hours): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9

n=10

average sponge = 2.5

option b) reject null hypothesis if computed t is greater than 2.821

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