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Answer :
Final answer:
In testing if the new sponge design increases absorption, perform a one-sample t-test. The decision rule at 0.01 level of significance is that if the resulting p-value is less than 0.01, the null hypothesis is rejected, suggesting an increase in the absorption capacity with the new design.
Explanation:
A statistical analysis, specifically a one-sample t-test, can be used to test if the new sponge design increased the absorption amount. The null hypothesis (H0) would assume that the mean absorption of the new design is equal to the old mean of 103.5ml, while the alternative hypothesis (Ha) posits that the new mean is greater than the old one.
To define the decision rule at the 0.01 level of significance (α): If the p-value resulting from the test (the probability of observing a mean as extreme as the one calculated from the sample, assuming H0 is true) is less than the significance level of 0.01, then you reject the null hypothesis. If the p-value is equal to or above 0.01, you do not reject the null hypothesis. If we reject the null hypothesis, it indicates that there is strong evidence that the mean absorption capacity of the redesign sponges is higher than before.
Learn more about one-sample t-test here:
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