Exercice 6: The concentration of active ingredients in a liquid detergent can be affected by the catalyst used in the manufacturing process. Ten measurements of the concentration were taken with two types of catalyst. Here are the data obtained: Catalyst 1: 57.9 66.2 65.4 65.3 62.6 67.6 63.7 67.2 65.2 71.0 Catalyst 2: 66.4 71.7 70.3 69.3 64.8 69.6 68.6 69.4 65.3 68.8 Let #1 and u2 be the average concentration of active ingredients resulting re- spectively from the use of catalyst 1 or 2. Construct a 95% confidence interval for u1- 2 assuming the two variables are normally distributed with unknown, but assumed equal, variances. Comment on this result.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.