Common use of Carpet Clause in Contracts

Carpet. = ∑ 5 + 3 + 4 = 0.05 80 + 70 + 90 To find the composition estimate for the component carpet, the weights for that material are added for all selected samples and divided by the total sample weights of those samples. The resulting composition is 0.05, or 5 percent (5%). In other words, 5 percent (5%) of the sampled material, by weight, is carpet. This finding is then projected onto the stratum being examined in this step of the analysis. • for j = 1 to m, where m = number of components Sample 1 Sample 2 Sample 3 Weight (c) of carpet 5 3 4 Total Sample Weight (w) 80 70 90 The confidence interval for this estimate will be derived in two (2) steps. First, the variance around the estimate will be calculated, accounting for the fact that the ratio included two (2) random variables (the component and total sample weights). The variance of the ratio estimator equation follows: ⎛ ∑(c − r w )2 ⎞ ⎛ 1 ⎞⎛ 1 ⎞⎜ ij j i ⎟ Var(rj ) ≈ ⎜ ⎟⎜ ⎟⎜ i ⎟ (2) where: ⎝ n ⎠⎝ w 2 ⎠⎜ ⎝ n − 1 ⎟ ⎠ ∑ wi w = i

Carpet. = ∑ 5 + 3 + 4 = 0.05 80 + 70 + 90 To find the composition estimate for the component carpet, the weights for that material are added for all selected samples and divided by the total sample weights of those samples. The resulting composition is 0.05, 0.05 or 5 percent (5%). In other words, 5 percent (5%) of the sampled material, by weight, is carpet. This finding is then projected onto the stratum being examined in this step of the analysis. • for j = 1 to m, where m = number of components Sample 1 Sample 2 Sample 3 Weight (c) of carpet 5 3 4 Total Sample Weight (w) 80 70 90  ∑(c − r w )2   1  1  ij j i  Var(rj ) ≈    i   n  w 2  n − 0    (2) The confidence interval for this estimate will be derived in two (2) steps. First, the variance around the estimate will be calculated, accounting for the fact that the ratio included two (2) random variables (the component and total sample weights). The variance of the ratio estimator equation follows: ⎛ ∑(c − r w )2 ⎞ ⎛ 1 ⎞⎛ 1 ⎞⎜ ij j i ⎟ Var(rj ) ≈ ⎜ ⎟⎜ ⎟⎜ i ⎟ (2) where: ⎝ n ⎠⎝ w 2 ⎠⎜ ⎝ n − 1 ⎟ ⎠ ∑ wi w = ii n (3) (For more information regarding Equation 2, please refer to Sampling Techniques, 3rd Edition by Xxxxxxx

Carpet. = ∑ 5 + 3 + 4 = 0.05 80 + 70 + 90 To find the composition estimate for the component carpet, the weights for that material are added for all selected samples and divided by the total sample weights of those samples. The resulting composition is 0.05, 0.05 or 5 percent (5%). In other words, 5 percent (5%) of the sampled material, by weight, is carpet. This finding is then projected onto the stratum being examined in this step of the analysis. • for j = 1 to m, where m = number of components Sample 1 Sample 2 Sample 3 Weight (c) of carpet 5 3 4 Total Sample Weight (w) 80 70 90 ⎛ ∑(c − r w )2 ⎞ ⎛ 1 ⎞⎛ 1 ⎞⎜ ij j i ⎟ Var(rj ) ≈ ⎜ ⎟⎜ ⎟⎜ i ⎟ ⎝ n ⎠⎝ w 2 ⎠⎜ n − 1 ⎟ ⎝ ⎠ (2) The confidence interval for this estimate will be derived in two (2) steps. First, the variance around the estimate will be calculated, accounting for the fact that the ratio included two (2) random variables (the component and total sample weights). The variance of the ratio estimator equation follows: ⎛ ∑(c − r w )2 ⎞ ⎛ 1 ⎞⎛ 1 ⎞⎜ ij j i ⎟ Var(rj ) ≈ ⎜ ⎟⎜ ⎟⎜ i ⎟ (2) where: ⎝ n ⎠⎝ w 2 ⎠⎜ ⎝ n − 1 ⎟ ⎠ ∑ wi w = ii n (3) (For more information regarding Equation 2, please refer to Sampling Techniques, 3rd Edition by Xxxxxxx