A Manufacturer Wants to Increase the Absorption Capacity of a Sponge

question 32

Multiple Choice

A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the
Average sponge could absorb 103.5ml. After the redesign, the absorption amounts of a sample of
Sponges were (in millilitres) : 121.3, 109.2, 97.6, 103.5, 112.4, 115.3, 106.5, 112.4, 118.3, and 115.3. 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 2.580
• B) Do not reject null hypothesis if computed t is less than 2.821
• C) Reject null hypothesis if computed z is 1.96 or larger
• D) Reject null hypothesis if computed t is less than 2.764

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Definitions:

Observations

Single observations or metrics gathered throughout a research project or experimentation process.

Levels

Distinct categories or stages that variables in an analysis or experiment can take.

ANOVA Table

A table used in analysis of variance (ANOVA) that displays the variance between and within groups along with associated statistics such as degrees of freedom, sums of squares, and mean squares.

Critical Values

Specific points on the scale of a test statistic that define regions where the hypothesis test will reject the null hypothesis in favor of the alternative.